Edit Profile (opens in new tab) Mehrmann, Volker Compute Distance To: Compute Author ID: mehrmann.volker Published as: Mehrmann, Volker; Mehrmann, V.; Mehrmann, Volker Ludwig more...less Homepage: https://www.tu.berlin/nummath/ueber-uns/team/volker-mehrmann External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef Documents Indexed: 257 Publications since 1980, including 8 Books 19 Contributions as Editor Reviewing Activity: 156 Reviews Biographic References: 1 Publication Co-Authors: 215 Co-Authors with 256 Joint Publications 6,382 Co-Co-Authors all top 5 Co-Authors 19 single-authored 28 Kunkel, Peter 26 Mehl, Christian 26 Xu, Hongguo 17 Byers, Ralph 14 Benner, Peter 14 Bunse-Gerstner, Angelika 8 Linh, Vu Hoang 7 Mackey, D. Steven 7 Mackey, Niloufer 7 Nichols, Nancy K. 7 Watkins, David S. 6 Chu, Delin 6 Elsner, Ludwig F. 6 Międlar, Agnieszka 6 Ran, André C. M. 6 Rodman, Leiba X. 5 Konstantinov, Mikhail Mikhajlov 5 Petkov, Petko Hr. 5 Schneider, Hans 5 Van Dooren, Paul M. 5 Wojtylak, Michał 4 Ammar, Gregory S. 4 Beattie, Christopher A. 4 Campbell, Stephen LaVern 4 Grötschel, Martin 4 Hershkowitz, Daniel 4 Liesen, Jörg 4 Losse, Philip 4 Poloni, Federico Giovanni 4 Schröder, Christian 4 Sharma, Punit 3 Bollhöfer, Matthias 3 Hà Phi 3 Ilchmann, Achim 3 Lin, Wen-Wei 3 Lucas, Klaus 3 Marheineke, Nicole 3 Olesky, D. Dale 3 Rath, Werner 3 Safique Ahmad, Sk. 3 Stolwijk, Jeroen J. 2 Apel, Thomas 2 Biegler, Lorenz T. 2 Binder, Andreas 2 Bora, Shreemayee 2 Brualdi, Richard Anthony 2 Carstensen, Carsten 2 Deuflhard, Peter 2 Emmrich, Etienne 2 Friedland, Shmuel 2 Gedicke, Joscha 2 Gu, Dawei 2 Gugercin, Serkan 2 Guglielmi, Nicola 2 Guterman, Alexander Èmilevich 2 Hauschild, Sarah-Alexa 2 He, Chunyang 2 Heiland, Jan 2 Hench, John J. 2 Higham, Nicholas J. 2 Holtz, Olga 2 Jadhav, Onkar 2 Jokar, Sadegh 2 Knyazev, Andrew V. 2 Kressner, Daniel 2 Loewy, Raphael 2 Manguoglu, Murat 2 Markova, Olga V. 2 Nguyen Huu Du 2 Reis, Timo 2 Reiss, Julius 2 Schmidt, Martin 2 Schöll, Eckehard 2 Scholz, Lena 2 Šemrl, Peter 2 Sesterhenn, Jörn L. 2 Skutella, Martin 2 Stöver, Ronald 2 Szyld, Daniel B. 2 Thuan, Do Duc 2 Tisseur, Françoise 2 Virnik, Elena 2 Xu, Jinchao 1 Alam, Rafikul 1 Aliyev, Nicat 1 Altmann, Robert 1 Arav, Marina 1 Arendt, Wolfgang 1 Badlyan, Arbi Moses 1 Bai, Zhaojun 1 Ball, Joseph Anthony 1 Bankmann, Daniel 1 Baum, Ann-Kristin 1 Behrndt, Jussi 1 Benzi, Michele 1 Berner, Rico 1 Betcke, Timo 1 Bhatia, Rajendra 1 Bini, Dario Andrea 1 Brezzi, Franco ...and 116 more Co-Authors all top 5 Serials 45 Linear Algebra and its Applications 29 SIAM Journal on Matrix Analysis and Applications 18 ETNA. Electronic Transactions on Numerical Analysis 12 Numerische Mathematik 11 ELA. The Electronic Journal of Linear Algebra 9 SIAM Journal on Scientific Computing 7 SIAM Journal on Control and Optimization 7 Numerical Linear Algebra with Applications 6 BIT 6 IEEE Transactions on Automatic Control 6 MCSS. Mathematics of Control, Signals, and Systems 5 Journal of Computational and Applied Mathematics 5 European Mathematical Society Newsletter 5 Operators and Matrices 4 Linear and Multilinear Algebra 4 SIAM Journal on Numerical Analysis 3 Automatica 3 Vietnam Journal of Mathematics 3 Oberwolfach Reports 3 Methods of Operations Research 2 Computer Methods in Applied Mechanics and Engineering 2 Systems & Control Letters 2 RAIRO. Automatique-Productique, Informatique Industrielle 2 Journal of Dynamics and Differential Equations 2 Advances in Computational Mathematics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of Mathematics in Industry 2 Operator Theory: Advances and Applications 1 American Mathematical Monthly 1 ACM Transactions on Mathematical Software 1 Control and Cybernetics 1 SIAM Journal on Algebraic and Discrete Methods 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Parallel Computing 1 Applied Numerical Mathematics 1 IMA Journal of Mathematical Control and Information 1 Numerical Algorithms 1 Journal of Inverse and Ill-Posed Problems 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Dynamics 1 Chaos 1 Mathematical and Computer Modelling of Dynamical Systems 1 Optimization and Engineering 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Lecture Notes in Control and Information Sciences 1 Studies in Computational Mathematics 1 Vieweg Studium 1 Lecture Notes in Computational Science and Engineering 1 Advances in Design and Control 1 Networks and Heterogeneous Media 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 Evolution Equations and Control Theory 1 EMS Series in Industrial and Applied Mathematics 1 Differential-Algebraic Equations Forum 1 Springer Undergraduate Mathematics Series all top 5 Fields 162 Numerical analysis (65-XX) 107 Linear and multilinear algebra; matrix theory (15-XX) 102 Systems theory; control (93-XX) 51 Ordinary differential equations (34-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 22 Partial differential equations (35-XX) 20 General and overarching topics; collections (00-XX) 13 History and biography (01-XX) 10 Fluid mechanics (76-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Operator theory (47-XX) 9 Operations research, mathematical programming (90-XX) 5 Combinatorics (05-XX) 4 Mechanics of deformable solids (74-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of particles and systems (70-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Biology and other natural sciences (92-XX) 2 Associative rings and algebras (16-XX) 2 Computer science (68-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 222 Publications have been cited 3,529 times in 1,878 Documents Cited by ▼ Year ▼ Differential-algebraic equations. Analysis and numerical solution. Zbl 1095.34004Kunkel, Peter; Mehrmann, Volker 248 2006 Vector spaces of linearizations for matrix polynomials. Zbl 1132.65027Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker 138 2006 Structured polynomial eigenvalue problems: Good vibrations from good linearizations. Zbl 1132.65028Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker 138 2006 NLEVP, a collection of nonlinear eigenvalue problems. Zbl 1295.65140Betcke, Timo; Higham, Nicholas J.; Mehrmann, Volker; Schröder, Christian; Tisseur, Françoise 111 2013 The autonomous linear quadratic control problem. Theory and numerical solution. Zbl 0746.93001Mehrmann, Volker Ludwig 104 1991 Nonlinear eigenvalue problems: A challenge for modern eigenvalue methods. Zbl 1071.65074Mehrmann, Volker; Voss, Heinrich 94 2004 Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19–25, 2003. Zbl 1066.65004 73 2005 Numerical solution of differential algebraic Riccati equations. Zbl 0707.65043Kunkel, P.; Mehrmann, V. 61 1990 A symplectic QR like algorithm for the solution of the real algebraic Riccati equation. Zbl 0616.65048Bunse-Gerstner, Angelika; Mehrmann, Volker 50 1986 Numerical computation of an analytic singular value decomposition of a matrix valued function. Zbl 0743.65035Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker; Nichols, Nancy K. 49 1991 Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters. Zbl 1341.65031Das, Pratibhamoy; Mehrmann, Volker 48 2016 Canonical forms for Hamiltonian and symplectic matrices and pencils. Zbl 0947.15004Lin, Wen-Wei; Mehrmann, Volker; Xu, Hongguo 45 1999 Regularization of descriptor systems by derivative and proportional state feedback. Zbl 0743.93026Bunse-Gerstner, Angelika; Mehrmann, Volker; Nichols, Nancy K. 42 1992 Structure-preserving methods for computing eigenpairs of large sparse skew-Hamiltonian/Hamiltonian pencils. Zbl 0986.65033Mehrmann, Volker; Watkins, David 41 2001 The shifted proper orthogonal decomposition: a mode decomposition for multiple transport phenomena. Zbl 1446.65212Reiss, J.; Schulze, P.; Sesterhenn, J.; Mehrmann, V. 40 2018 A chart of numerical methods for structured eigenvalue problems. Zbl 0757.65040Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker 39 1992 Balanced truncation model reduction for large-scale system in descriptor form. Zbl 1107.93013Mehrmann, Volker; Stykel, Tatjana 38 2005 Polynomial eigenvalue problems with Hamiltonian structure. Zbl 1065.65054Mehrmann, Volker; Watkins, David 37 2002 Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations. Zbl 1223.15015Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba 37 2011 Canonical forms for linear differential-algebraic equations with variable coefficients. Zbl 0824.34002Kunkel, Peter; Mehrmann, Volker 36 1994 A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils. Zbl 0889.65036Benner, Peter; Mehrmann, Volker; Xu, Hongguo 34 1998 Smith forms of palindromic matrix polynomials. Zbl 1207.15013Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker 32 2011 Linear port-Hamiltonian descriptor systems. Zbl 1401.37070Beattie, Christopher; Mehrmann, Volker; Xu, Hongguo; Zwart, Hans 30 2018 SLICOT – a subroutine library in systems and control theory. Zbl 1051.93500Benner, Peter; Mehrmann, Volker; Sima, Vasile; Van Huffel, Sabine; Varga, Andras 30 1999 Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form. Zbl 1224.65099Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker 29 2009 Stability and robust stability of linear time-invariant delay differential-algebraic equations. Zbl 1326.34117Du, Nguyen Huu; Linh, Vu Hoang; Mehrmann, Volker; Thuan, Do Duc 29 2013 Numerical computation of deflating subspaces of skew-Hamiltonian/Hamiltonian pencils. Zbl 1035.49022Benner, Peter; Byers, Ralph; Mehrmann, Volker; Xu, Hongguo 28 2002 A quaternion QR-algorithm. Zbl 0681.65024Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker 28 1989 Möbius transformations of matrix polynomials. Zbl 1309.65042Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker 28 2015 Stability radii for linear Hamiltonian systems with dissipation under structure-preserving perturbations. Zbl 1349.93332Mehl, Christian; Mehrmann, Volker; Sharma, Punit 27 2016 Minimum norm regularization of descriptor systems by mixed output feedback. Zbl 0959.93032Chu, Delin; Mehrmann, Volker; Nichols, Nancy K. 27 1999 Perturbation theory for Hamiltonian matrices and the distance to bounded-realness. Zbl 1227.93081Alam, R.; Bora, S.; Karow, M.; Mehrmann, V.; Moro, J. 26 2011 Jordan structures of alternating matrix polynomials. Zbl 1188.15010Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker 26 2010 Feedback design for regularizing descriptor systems. Zbl 0944.65082Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker; Nichols, Nancy K. 25 1999 Structured eigenvalue methods for the computation of corner singularities in 3D anisotropic elastic structures. Zbl 1029.74042Apel, Thomas; Mehrmann, Volker; Watkins, David 23 2002 Existence, uniqueness, and parametrization of Lagrangian invariant subspaces. Zbl 1029.65044Freiling, Gerhard; Mehrmann, Volker; Xu, Hongguo 22 2002 On Hamiltonian and symplectic Hessenberg forms. Zbl 0724.65042Ammar, Gregory; Mehrmann, Volker 22 1991 The linear quadratic optimal control problem for linear descriptor systems with variable coefficients. Zbl 0894.49020Kunkel, Peter; Mehrmann, Volker 21 1997 Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index. Zbl 1156.49018Kunkel, Peter; Mehrmann, Volker 21 2008 Index reduction for differential-algebraic equations by minimal extension. Zbl 1070.34006Kunkel, P.; Mehrmann, V. 21 2004 On structure-preserving model reduction for damped wave propagation in transport networks. Zbl 1383.65110Egger, H.; Kugler, T.; Liljegren-Sailer, B.; Marheineke, N.; Mehrmann, V. 20 2018 Perturbation theory for matrix equations. Zbl 1025.15017Konstantinov, Mihail; Gu, Da-Wei; Mehrmann, Volker; Petkov, Petko 20 2003 A numerical method for computing the Hamiltonian Schur form. Zbl 1116.65043Chu, Delin; Liu, Xinmin; Mehrmann, Volker 20 2007 Linear algebra properties of dissipative Hamiltonian descriptor systems. Zbl 1403.15009Mehl, C.; Mehrmann, V.; Wojtylak, M. 19 2018 Skew-Hamiltonian and Hamiltonian eigenvalue problems: theory, algorithms and applications. Zbl 1069.65034Benner, Peter; Kressner, Daniel; Mehrmann, Volker 19 2005 Regular solutions of nonlinear differential-algebraic equations and their numerical determination. Zbl 0914.65075Kunkel, Peter; Mehrmann, Volker 19 1998 Adaptive computation of smallest eigenvalues of self-adjoint elliptic partial differential equations. Zbl 1249.65226Mehrmann, Volker; Miedlar, Agnieszka 19 2011 Skew-symmetric matrix polynomials and their Smith forms. Zbl 1281.15020Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker 19 2013 Numerical methods for simultaneous diagonalization. Zbl 0786.65030Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker 18 1993 Regulariztion of descriptor systems by output feedback. Zbl 0800.93544Bunse-Gerstner, Angelika; Mehrmann, Volker; Nichols, Nancy K. 18 1994 Stability properties of differential-algebraic equations and Spin-stabilized discretizations. Zbl 1171.65418Kunkel, Peter; Mehrmann, Volker 18 2007 Explicit solutions for a Riccati equation from transport theory. Zbl 1176.65055Mehrmann, Volker; Xu, Hongguo 18 2008 Cholesky-like factorizations of skew-symmetric matrices. Zbl 0963.65033Benner, Peter; Byers, Ralph; Fassbender, Heike; Mehrmann, Volker; Watkins, David 18 2000 A structured staircase algorithm for skew-symmetric/symmetric pencils. Zbl 1113.65065Byers, Ralph; Mehrmann, Volker; Xu, Hongguo 18 2007 Jordan forms of real and complex matrices under rank one perturbations. Zbl 1281.15012Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba 18 2013 A robust numerical method for the \(\gamma\)-iteration in \(H_{\infty}\) control. Zbl 1124.93022Benner, Peter; Byers, Ralph; Mehrmann, Volker; Xu, Hongguo 18 2007 Robust port-Hamiltonian representations of passive systems. Zbl 1411.93056Beattie, Christopher A.; Mehrmann, Volker; Van Dooren, Paul 18 2019 A new software package for linear differential-algebraic equations. Zbl 0868.65041Kunkel, Peter; Mehrmann, Volker; Rath, Werner; Weickert, Jörg 17 1997 A new method for computing the stable invariant subspace of a real Hamiltonian matrix. Zbl 1005.65034Benner, Peter; Mehrmann, Volker; Xu, Hongguo 17 1997 Where is the nearest non-regular pencil? Zbl 0935.15013Byers, Ralph; He, Chunyang; Mehrmann, Volker 17 1998 Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations. Zbl 0744.65026Elsner, Ludwig; Mehrmann, Volker 17 1991 Perturbation theory of selfadjoint matrices and sign characteristics under generic structured rank one perturbations. Zbl 1237.15036Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba 17 2012 Regularization of linear and nonlinear descriptor systems. Zbl 1317.93071Campbell, Stephen L.; Kunkel, Peter; Mehrmann, Volker 17 2012 Perturbation of purely imaginary eigenvalues of Hamiltonian matrices under structured perturbations. Zbl 1161.15005Mehrmann, Volker; Xu, Hongguo 17 2008 Regularization of linear descriptor systems with variable coefficients. Zbl 0895.93026Byers, Ralph; Kunkel, Peter; Mehrmann, Volker 16 1997 On the distance to singularity via low rank perturbations. Zbl 1342.15006Mehl, Christian; Mehrmann, Volker; Wojtylak, Michał 16 2015 Eigenvalue perturbation theory of symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations. Zbl 1291.15061Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba 16 2014 Computing the nearest stable matrix pairs. Zbl 06986990Gillis, Nicolas; Mehrmann, Volker; Sharma, Punit 15 2018 Descriptor systems without controllability at infinity. Zbl 0871.93021Byers, Ralph; Geerts, Ton; Mehrmann, Volker 15 1997 The matrix sign function method and the computation of invariant subspaces. Zbl 0874.65031Byers, Ralph; He, Chunyang; Mehrmann, Volker 15 1997 A symplectic orthogonal method for single input or single output discrete time optimal quadratic control problems. Zbl 0643.65032Mehrmann, Volker 15 1988 Model reduction for systems with inhomogeneous initial conditions. Zbl 1353.93019Beattie, Christopher; Gugercin, Serkan; Mehrmann, Volker 15 2017 Operator differential-algebraic equations arising in fluid dynamics. Zbl 1392.34070Emmrich, Etienne; Mehrmann, Volker 15 2013 A behavioral approach to time-varying linear systems. I: General theory. Zbl 1139.93007Ilchmann, Achim; Mehrmann, Volker 15 2006 A new class of discretization methods for the solution of linear differential-algebraic equations with variable coefficients. Zbl 0858.65064Kunkel, Peter; Mehrmann, Volker 14 1996 A step toward a unified treatment of continuous and discrete time control problems. Zbl 0859.93013Mehrmann, Volker 14 1996 Trimmed linearizations for structured matrix polynomials. Zbl 1155.65026Byers, Ralph; Mehrmann, Volker; Xu, Hongguo 14 2008 Formal adjoints of linear DAE operators and their role in optimal control. Zbl 1226.49030Kunkel, Peter; Mehrmann, Volker 14 2011 Defect correction methods for the solution of algebraic Riccati equations. Zbl 0646.93024Mehrmann, V.; Tan, E. 14 1988 Disturbance decoupling for descriptor systems by state feedback. Zbl 0963.93060Chu, Delin; Mehrmann, Volker 14 2000 Perturbation analysis for the eigenvalue problem of a formal product of matrices. Zbl 1003.65032Benner, Peter; Mehrmann, Volker; Xu, Hongguo 14 2002 Existence, uniqueness, and stability of solutions to singular linear quadratic optimal control problems. Zbl 0677.49001Mehrmann, Volker 14 1989 On the nearest singular matrix pencil. Zbl 1371.15015Guglielmi, Nicola; Lubich, Christian; Mehrmann, Volker 14 2017 On best rank one approximation of tensors. Zbl 1313.65085Friedland, S.; Mehrmann, V.; Pajarola, R.; Suter, S. K. 14 2013 Parameter-dependent rank-one perturbations of singular Hermitian or symmetric pencils. Zbl 1354.15007Mehl, C.; Mehrmann, V.; Wojtylak, M. 13 2017 Incomplete factorizations of matrices and connections with H-matrices. Zbl 0477.65020Varga, R. S.; Saff, E. B.; Mehrmann, V. 13 1980 Symmetric collocation for unstructered nonlinear differential-algebraic equations of arbitrary index. Zbl 1061.65075Kunkel, Peter; Mehrmann, Volker; Stöver, Ronald 13 2004 Numerical linear algebra methods for linear differential-algebraic equations. Zbl 1343.65100Benner, Peter; Losse, Philip; Mehrmann, Volker; Voigt, Matthias 13 2015 Analysis and numerical solution of control problems in descriptor form. Zbl 1066.93019Kunkel, Peter; Mehrmann, Volker; Rath, Werner 13 2001 An adaptive homotopy approach for non-selfadjoint eigenvalue problems. Zbl 1263.65106Carstensen, Carsten; Gedicke, Joscha; Mehrmann, Volker; Miedlar, Agnieszka 12 2011 Smooth factorizations of matrix valued functions and their derivatives. Zbl 0753.65033Kunkel, Peter; Mehrmann, Volker 12 1991 Lyapunov, Bohl and Sacker-Sell spectral intervals for differential-algebraic equations. Zbl 1165.65050Linh, Vu Hoang; Mehrmann, Volker 12 2009 DAEs, control, and optimization. Zbl 1317.65143Biegler, Lorenz; Campbell, Stephen L.; Mehrmann, Volker 12 2012 Fast low rank approximations of matrices and tensors. Zbl 1254.65054Friedland, Shmuel; Mehrmann, Volker; Miedlar, Agnieszka; Nkengla, M. 12 2011 Transformation of high order linear differential-algebraic systems to first order. Zbl 1109.65071Mehrmann, Volker; Shi, Chunchao 12 2006 Perturbation theory for general matrix equations. Zbl 1140.93033Konstantinov, M.; Mehrmann, V.; Petkov, P.; Gu, D. 12 2005 A behavioral approach to time-varying linear systems. II: Descriptor systems. Zbl 1139.93008Ilchmann, Achim; Mehrmann, Volker 12 2006 Doubling algorithms with permuted Lagrangian graph bases. Zbl 1260.65059Mehrmann, Volker; Poloni, Federico 12 2012 Disturbance decoupling for linear time-invariant systems: A matrix pencil approach. Zbl 1007.93011Chu, Delin; Mehrmann, Volker 11 2001 Numerical solution of quadratic eigenvalue problems with structure-preserving methods. Zbl 1048.65035Hwang, Tsung-Min; Lin, Wen-Wei; Mehrmann, Volker 11 2003 Matrix pencils with coefficients that have positive semidefinite Hermitian parts. Zbl 1496.15008Mehl, C.; Mehrmann, V.; Wojtylak, M. 1 2022 Distance problems for dissipative Hamiltonian systems and related matrix polynomials. Zbl 1466.15010Mehl, C.; Mehrmann, V.; Wojtylak, M. 7 2021 Port-Hamiltonian formulations of poroelastic network models. Zbl 1491.74020Altmann, R.; Mehrmann, V.; Unger, B. 6 2021 Nonlinear optimization of district heating networks. Zbl 1492.90174Krug, Richard; Mehrmann, Volker; Schmidt, Martin 3 2021 Model order reduction for the simulation of parametric interest rate models in financial risk analysis. Zbl 1485.65092Binder, Andreas; Jadhav, Onkar; Mehrmann, Volker 1 2021 Structured backward errors for eigenvalues of linear port-Hamiltonian descriptor systems. Zbl 1461.93180Mehrmann, Volker; Van Dooren, Paul 1 2021 Optimal robustness of port-Hamiltonian systems. Zbl 1440.93067Mehrmann, Volker; Van Dooren, Paul M. 8 2020 Port-Hamiltonian modeling of district heating networks. Zbl 1453.93101Hauschild, Sarah-Alexa; Marheineke, Nicole; Mehrmann, Volker; Mohring, Jan; Badlyan, Arbi Moses; Rein, Markus; et al. 6 2020 Approximation of stability radii for large-scale dissipative Hamiltonian systems. Zbl 1436.65206Aliyev, Nicat; Mehrmann, Volker; Mengi, Emre 4 2020 Robust port-Hamiltonian representations of passive systems. Zbl 1411.93056Beattie, Christopher A.; Mehrmann, Volker; Van Dooren, Paul 18 2019 Length realizability for pairs of quasi-commuting matrices. Zbl 1414.15023Guterman, A. E.; Markova, O. V.; Mehrmann, V. 11 2019 Applications of differential-algebraic equations: examples and benchmarks. Zbl 1419.65001 6 2019 Model reduction techniques for linear constant coefficient port-Hamiltonian differential-algebraic systems. Zbl 1453.93033Hauschild, Sarah-Alexa; Marheineke, Nicole; Mehrmann, Volker 2 2019 Convergence of the backward Euler scheme for the operator-valued Riccati differential equation with semi-definite data. Zbl 1476.65151Eisenmann, Monika; Emmrich, Etienne; Mehrmann, Volker 1 2019 The shifted proper orthogonal decomposition: a mode decomposition for multiple transport phenomena. Zbl 1446.65212Reiss, J.; Schulze, P.; Sesterhenn, J.; Mehrmann, V. 40 2018 Linear port-Hamiltonian descriptor systems. Zbl 1401.37070Beattie, Christopher; Mehrmann, Volker; Xu, Hongguo; Zwart, Hans 30 2018 On structure-preserving model reduction for damped wave propagation in transport networks. Zbl 1383.65110Egger, H.; Kugler, T.; Liljegren-Sailer, B.; Marheineke, N.; Mehrmann, V. 20 2018 Linear algebra properties of dissipative Hamiltonian descriptor systems. Zbl 1403.15009Mehl, C.; Mehrmann, V.; Wojtylak, M. 19 2018 Computing the nearest stable matrix pairs. Zbl 06986990Gillis, Nicolas; Mehrmann, Volker; Sharma, Punit 15 2018 Adaptive refinement strategies for the simulation of gas flow in networks using a model hierarchy. Zbl 06862887Domschke, Pia; Dua, Aseem; Stolwijk, Jeroen J.; Lang, Jens; Mehrmann, Volker 8 2018 Model and discretization error adaptivity within stationary gas transport optimization. Zbl 1406.35254Mehrmann, Volker; Schmidt, Martin; Stolwijk, Jeroen J. 7 2018 Error analysis and model adaptivity for flows in gas networks. Zbl 1438.35317Stolwijk, Jeroen J.; Mehrmann, Volker 6 2018 Qualitative stability and synchronicity analysis of power network models in port-Hamiltonian form. Zbl 1442.37113Mehrmann, Volker; Morandin, Riccardo; Olmi, Simona; Schöll, Eckehard 4 2018 Optimal model switching for gas flow in pipe networks. Zbl 1420.35261Rüffler, Fabian; Mehrmann, Volker; Hante, Falk M. 4 2018 Regular solutions of DAE hybrid systems and regularization techniques. Zbl 1440.34013Kunkel, Peter; Mehrmann, Volker 3 2018 Structured eigenvalue/eigenvector backward errors of matrix pencils arising in optimal control. Zbl 1407.49052Mehl, Christian; Mehrmann, Volker; Sharma, Punit 2 2018 Model reduction for systems with inhomogeneous initial conditions. Zbl 1353.93019Beattie, Christopher; Gugercin, Serkan; Mehrmann, Volker 15 2017 On the nearest singular matrix pencil. Zbl 1371.15015Guglielmi, Nicola; Lubich, Christian; Mehrmann, Volker 14 2017 Parameter-dependent rank-one perturbations of singular Hermitian or symmetric pencils. Zbl 1354.15007Mehl, C.; Mehrmann, V.; Wojtylak, M. 13 2017 Stability radii for real linear Hamiltonian systems with perturbed dissipation. Zbl 1373.93274Mehl, Christian; Mehrmann, Volker; Sharma, Punit 9 2017 Regularization and numerical solution of the inverse scattering problem using shearlet frames. Zbl 1365.65244Kutyniok, Gitta; Mehrmann, Volker; Petersen, Philipp C. 3 2017 Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters. Zbl 1341.65031Das, Pratibhamoy; Mehrmann, Volker 48 2016 Stability radii for linear Hamiltonian systems with dissipation under structure-preserving perturbations. Zbl 1349.93332Mehl, Christian; Mehrmann, Volker; Sharma, Punit 27 2016 On the sign characteristics of Hermitian matrix polynomials. Zbl 1352.15027Mehrmann, Volker; Noferini, Vanni; Tisseur, Françoise; Xu, Hongguo 9 2016 Analysis and numerical solution of linear delay differential-algebraic equations. Zbl 1345.34129Ha, Phi; Mehrmann, Volker 9 2016 A Newton-type method with nonequivalence deflation for nonlinear eigenvalue problems arising in photonic crystal modeling. Zbl 1380.65354Huang, Tsung-Ming; Lin, Wen-Wei; Mehrmann, Volker 6 2016 Lengths of quasi-commutative pairs of matrices. Zbl 1334.15050Guterman, A. E.; Markova, O. V.; Mehrmann, V. 6 2016 Eigenvalue perturbation theory of structured real matrices and their sign characteristics under generic structured rank-one perturbations. Zbl 1335.15013Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba 5 2016 Backward errors and pseudospectra for structured nonlinear eigenvalue problems. Zbl 1348.65070Ahmad, Sk. Safique; Mehrmann, Volker 3 2016 An inverse-free ADI algorithm for computing Lagrangian invariant subspaces. Zbl 1438.65079Mehrmann, Volker; Poloni, Federico 3 2016 Möbius transformations of matrix polynomials. Zbl 1309.65042Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker 28 2015 On the distance to singularity via low rank perturbations. Zbl 1342.15006Mehl, Christian; Mehrmann, Volker; Wojtylak, Michał 16 2015 Numerical linear algebra methods for linear differential-algebraic equations. Zbl 1343.65100Benner, Peter; Losse, Philip; Mehrmann, Volker; Voigt, Matthias 13 2015 Stability analysis of implicit difference equations under restricted perturbations. Zbl 1315.65105Mehrmann, Volker; Thuan, Do Duc 10 2015 Linear algebra. Zbl 1334.15001Liesen, Jörg; Mehrmann, Volker 4 2015 Model reduction of reactive processes. Zbl 1308.76307Lemke, Mathias; Miȩdlar, Agnieszka; Reiss, Julius; Mehrmann, Volker; Sesterhenn, Jörn 3 2015 Structure preserving deflation of infinite eigenvalues in structured pencils. Zbl 1312.65055Mehrmann, Volker; Xu, Hongguo 3 2015 Eigenvalue perturbation theory of symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations. Zbl 1291.15061Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba 16 2014 Self-adjoint differential-algebraic equations. Zbl 1291.93060Kunkel, Peter; Mehrmann, Volker; Scholz, Lena 7 2014 Analysis of linear variable coefficient delay differential-algebraic equations. Zbl 1325.34084Ha, Phi; Mehrmann, Volker; Steinbrecher, Andreas 6 2014 Efficient integration of strangeness-free non-stiff differential-algebraic equations by half-explicit methods. Zbl 1301.65089Linh, Vu Hoang; Mehrmann, Volker 5 2014 An adaptive finite element method with asymptotic saturation for eigenvalue problems. Zbl 1306.65272Carstensen, C.; Gedicke, J.; Mehrmann, V.; Miȩdlar, A. 3 2014 Self-conjugate differential and difference operators arising in the optimal control of descriptor systems. Zbl 1301.93078Mehrmann, Volker; Scholz, Lena 2 2014 NLEVP, a collection of nonlinear eigenvalue problems. Zbl 1295.65140Betcke, Timo; Higham, Nicholas J.; Mehrmann, Volker; Schröder, Christian; Tisseur, Françoise 111 2013 Stability and robust stability of linear time-invariant delay differential-algebraic equations. Zbl 1326.34117Du, Nguyen Huu; Linh, Vu Hoang; Mehrmann, Volker; Thuan, Do Duc 29 2013 Skew-symmetric matrix polynomials and their Smith forms. Zbl 1281.15020Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker 19 2013 Jordan forms of real and complex matrices under rank one perturbations. Zbl 1281.15012Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba 18 2013 Operator differential-algebraic equations arising in fluid dynamics. Zbl 1392.34070Emmrich, Etienne; Mehrmann, Volker 15 2013 On best rank one approximation of tensors. Zbl 1313.65085Friedland, S.; Mehrmann, V.; Pajarola, R.; Suter, S. K. 14 2013 Robust stability of differential-algebraic equations. Zbl 1281.34002Du, Nguyen Huu; Linh, Vu Hoang; Mehrmann, Volker 9 2013 Backward errors for eigenvalues and eigenvectors of Hermitian, skew-Hermitian, \(H\)-even and \(H\)-odd matrix polynomials. Zbl 1278.65036Ahmad, Sk. Safique; Mehrmann, Volker 6 2013 Numerical integration of positive linear differential-algebraic systems. Zbl 1277.65068Baum, A. K.; Mehrmann, V. 4 2013 A generalized structured doubling algorithm for the numerical solution of linear quadratic optimal control problems. Zbl 1289.49038Mehrmann, Volker; Poloni, Federico 3 2013 Matrices that commute with their derivative. On a letter from Schur to Wielandt. Zbl 1260.15026Holtz, Olga; Mehrmann, Volker; Schneider, Hans 2 2013 Using permuted graph bases in \(\mathcal{H}_\infty\) control. Zbl 1360.93224Mehrmann, Volker; Poloni, Federico 2 2013 Perturbation theory of selfadjoint matrices and sign characteristics under generic structured rank one perturbations. Zbl 1237.15036Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba 17 2012 Regularization of linear and nonlinear descriptor systems. Zbl 1317.93071Campbell, Stephen L.; Kunkel, Peter; Mehrmann, Volker 17 2012 DAEs, control, and optimization. Zbl 1317.65143Biegler, Lorenz; Campbell, Stephen L.; Mehrmann, Volker 12 2012 Doubling algorithms with permuted Lagrangian graph bases. Zbl 1260.65059Mehrmann, Volker; Poloni, Federico 12 2012 An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems. Zbl 1247.65050Mehrmann, Volker; Schröder, C.; Simoncini, Valeria 11 2012 Analysis and reformulation of linear delay differential-algebraic equations. Zbl 1323.34089Ha, Phi; Mehrmann, Volker 9 2012 Distributed control of linearized Navier-Stokes equations via discretized input/output maps. Zbl 1238.93025Heiland, J.; Mehrmann, V. 2 2012 Spectra and leading directions for linear DAEs. Zbl 1317.34133Vu Hoang Linh; Mehrmann, Volker 2 2012 Control and optimization with differential-algebraic constraints. Selected papers based on the presentations at the workshop, Banff, Canada, October 24–29, 2010. Zbl 1256.65001 1 2012 Calculation of high-dimensional probability density functions of stochastically excited nonlinear mechanical systems. Zbl 1246.65016Martens, Wolfram; von Wagner, Utz; Mehrmann, Volker 1 2012 Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations. Zbl 1223.15015Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba 37 2011 Smith forms of palindromic matrix polynomials. Zbl 1207.15013Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker 32 2011 Perturbation theory for Hamiltonian matrices and the distance to bounded-realness. Zbl 1227.93081Alam, R.; Bora, S.; Karow, M.; Mehrmann, V.; Moro, J. 26 2011 Adaptive computation of smallest eigenvalues of self-adjoint elliptic partial differential equations. Zbl 1249.65226Mehrmann, Volker; Miedlar, Agnieszka 19 2011 Formal adjoints of linear DAE operators and their role in optimal control. Zbl 1226.49030Kunkel, Peter; Mehrmann, Volker 14 2011 An adaptive homotopy approach for non-selfadjoint eigenvalue problems. Zbl 1263.65106Carstensen, Carsten; Gedicke, Joscha; Mehrmann, Volker; Miedlar, Agnieszka 12 2011 Fast low rank approximations of matrices and tensors. Zbl 1254.65054Friedland, Shmuel; Mehrmann, Volker; Miedlar, Agnieszka; Nkengla, M. 12 2011 Nonlinear eigenvalue and frequency response problems in industrial practice. Zbl 1273.65058Mehrmann, Volker; Schröder, Christian 10 2011 Robust formulas for \(H_{\infty }\) optimal controllers. Zbl 1252.93047Benner, Peter; Byers, Ralph; Losse, Philip; Mehrmann, Volker; Xu, Hongguo 7 2011 Perturbation analysis for complex symmetric, skew symmetric, even and odd matrix polynomials. Zbl 1321.65053Ahmad, Sk. Safique; Mehrmann, Volker 7 2011 \(QR\) methods and error analysis for computing Lyapunov and Sacker–Sell spectral intervals for linear differential-algebraic equations. Zbl 1242.65150Linh, Vu Hoang; Mehrmann, Volker; Van Vleck, Erik S. 5 2011 Approximation of spectral intervals and leading directions for differential-algebraic equation via smooth singular value decompositions. Zbl 1235.65087Vu Hoang Linh; Mehrmann, Volker 4 2011 Optimal control for linear descriptor systems with variable coefficients. Zbl 1250.49023Kunkel, Peter; Mehrmann, Volker 2 2011 Spectral analysis for linear differential-algebraic equations. Zbl 1306.34081Linh, Vu Hoang; Mehrmann, Volker 1 2011 Jordan structures of alternating matrix polynomials. Zbl 1188.15010Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker 26 2010 Sparse approximate solution of partial differential equations. Zbl 1220.65170Jokar, Sadegh; Mehrmann, Volker; Pfetsch, Marc E.; Yserentant, Harry 3 2010 Singular-value-like decomposition for complex matrix triples. Zbl 1186.65048Mehl, Christian; Mehrmann, Volker; Xu, Hongguo 2 2010 Numerical methods for structured matrices and applications. The Georg Heinig memorial volume. Zbl 1189.65011 1 2010 Active flow control-a mathematical challenge. Zbl 1202.00020King, Rudibert; Mehrmann, Volker; Nitsche, Wolfgang 1 2010 Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form. Zbl 1224.65099Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker 29 2009 Lyapunov, Bohl and Sacker-Sell spectral intervals for differential-algebraic equations. Zbl 1165.65050Linh, Vu Hoang; Mehrmann, Volker 12 2009 Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices. Zbl 1163.15030Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba 9 2009 Sparse solutions to underdetermined Kronecker product systems. Zbl 1181.65058Jokar, Sadegh; Mehrmann, Volker 7 2009 A new block method for computing the Hamiltonian Schur form. Zbl 1168.65337Mehrmann, V.; Schröder, C.; Watkins, D. S. 4 2009 Structured decompositions for matrix triples: SVD-like concepts for structured matrices. Zbl 1188.15012Mehl, Christian; Mehrmann, Volker; Xu, Hongguo 4 2009 ...and 122 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,253 Authors 99 Mehrmann, Volker 72 Benner, Peter 33 Dopico, Froilán M. 29 Mehl, Christian 26 Lin, Wen-Wei 23 Van Dooren, Paul M. 20 Noferini, Vanni 19 de Terán, Fernando 19 Faßbender, Heike 18 Jarlebring, Elias 18 März, Roswitha 18 Wei, Yimin 17 Altmann, Robert 17 Kressner, Daniel 17 Mackey, D. Steven 17 Ran, André C. M. 17 Xu, Hongguo 16 Alam, Rafikul 16 Campbell, Stephen LaVern 16 Kunkel, Peter 16 Reis, Timo 16 Tisseur, Françoise 15 King-wah Chu, Eric 15 Linh, Vu Hoang 14 Stykel, Tatjana 14 Watkins, David S. 13 Rodman, Leiba X. 13 Wang, Qingwen 12 Poloni, Federico Giovanni 12 Trenn, Stephan 12 Wojtylak, Michał 11 Fan, Hung-Yuan 11 Markova, Olga V. 11 Sharma, Punit 11 Simoncini, Valeria 10 Guglielmi, Nicola 10 Guterman, Alexander Èmilevich 10 Lamour, René 10 Pérez, Javier J. 10 Riaza, Ricardo 10 Shcheglova, Alla Arkad’evna 10 Voigt, Matthias 9 Byers, Ralph 9 Chu, Delin 9 Dmytryshyn, Andrii R. 9 Gugercin, Serkan 9 Huang, Tsungming 9 Kuo, Yueh-Cheng 9 Li, Rencang 9 Michiels, Wim 8 Adhikari, Bibhas 8 Chu, Moody T. 8 Das, Pratibhamoy 8 Dieci, Luca 8 Goyal, Pawan 8 He, ZhuoHeng 8 Kürschner, Patrick 8 Li, Hanyu 8 Li, Tiexiang 8 Saak, Jens 8 Sadkane, Miloud 8 Safique Ahmad, Sk. 8 Saltenberger, Philip 8 Solov’ëv, Sergeĭ Ivanovich 8 Szyld, Daniel B. 8 Vandebril, Raf 8 Wei, Musheng 7 Beattie, Christopher A. 7 Bora, Shreemayee 7 Bulatov, Mikhail Valer’yanovich 7 Estévez Schwarz, Diana 7 Guo, Chun-Hua 7 Heiland, Jan 7 Ilchmann, Achim 7 Jbilou, Khalide 7 Jia, Zhigang 7 Jiang, Yaolin 7 Li, Wen 7 Lin, Yiqin 7 Mackey, Niloufer 7 Marheineke, Nicole 7 Nakatsukasa, Yuji 7 Redmann, Martin 7 Robol, Leonardo 7 Stechlinski, Peter G. 7 Stefanovski, Jovan D. 7 Thuan, Do Duc 7 Tischendorf, Caren 7 Trunk, Carsten 7 Weinmüller, Ewa B. 7 Yang, Yidu 6 Bao, Liang 6 Chen, Xiaoping 6 Chen, Xiaoshan 6 Chistyakov, Viktor Filimonovich 6 Dai, Hua 6 Engwerda, Jacob Christiaan 6 Fečkan, Michal 6 Furtado, Susana 6 Gemignani, Luca ...and 2,153 more Authors all top 5 Cited in 296 Serials 301 Linear Algebra and its Applications 104 Journal of Computational and Applied Mathematics 90 SIAM Journal on Matrix Analysis and Applications 49 Applied Mathematics and Computation 49 Numerische Mathematik 48 SIAM Journal on Scientific Computing 45 Numerical Algorithms 40 Automatica 36 Systems & Control Letters 34 BIT 27 Applied Numerical Mathematics 27 Numerical Linear Algebra with Applications 25 Linear and Multilinear Algebra 24 Computers & Mathematics with Applications 24 International Journal of Control 24 Journal of the Franklin Institute 21 ELA. 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A. Solids 5 Computational Methods in Applied Mathematics 5 Journal of Applied Mathematics 5 Journal of Applied Mathematics and Computing 5 Complex Analysis and Operator Theory 4 Acta Mechanica 4 Chaos, Solitons and Fractals 4 Acta Mathematica Vietnamica 4 Kybernetika 4 Computational Mathematics and Mathematical Physics 4 International Journal of Robust and Nonlinear Control 4 Computational Optimization and Applications 4 International Journal of Applied Mathematics and Computer Science 4 Differential Equations 4 Discrete and Continuous Dynamical Systems. Series B 4 Central European Journal of Mathematics 4 International Journal of Computational Methods 4 Optimization Letters 4 Operators and Matrices 4 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 3 Computer Physics Communications 3 International Journal of Systems Science 3 Mathematical Methods in the Applied Sciences 3 Rocky Mountain Journal of Mathematics 3 Journal of Geometry and Physics 3 Journal of Algebra 3 Proceedings of the American Mathematical Society 3 SIAM Journal on Numerical Analysis 3 Theoretical Computer Science 3 Optimal Control Applications & Methods 3 Applied Mathematics and Mechanics. (English Edition) 3 Acta Applicandae Mathematicae 3 SIAM Review 3 Mathematical Programming. Series A. Series B 3 SIAM Journal on Optimization 3 Journal of Nonlinear Science 3 Advances in Applied Clifford Algebras 3 Journal of Mathematical Chemistry 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Nonlinear Dynamics 3 Optimization Methods & Software 3 Taiwanese Journal of Mathematics ...and 196 more Serials all top 5 Cited in 55 Fields 1,010 Numerical analysis (65-XX) 708 Linear and multilinear algebra; matrix theory (15-XX) 463 Systems theory; control (93-XX) 289 Ordinary differential equations (34-XX) 147 Partial differential equations (35-XX) 107 Operator theory (47-XX) 100 Calculus of variations and optimal control; optimization (49-XX) 68 Fluid mechanics (76-XX) 52 Dynamical systems and ergodic theory (37-XX) 48 Operations research, mathematical programming (90-XX) 47 Mechanics of deformable solids (74-XX) 46 Mechanics of particles and systems (70-XX) 37 Computer science (68-XX) 33 Information and communication theory, circuits (94-XX) 28 Combinatorics (05-XX) 27 Approximations and expansions (41-XX) 26 Probability theory and stochastic processes (60-XX) 25 Optics, electromagnetic theory (78-XX) 20 Biology and other natural sciences (92-XX) 18 Difference and functional equations (39-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Nonassociative rings and algebras (17-XX) 15 Real functions (26-XX) 15 Functions of a complex variable (30-XX) 15 Statistics (62-XX) 13 Integral equations (45-XX) 12 Number theory (11-XX) 12 Functional analysis (46-XX) 12 Quantum theory (81-XX) 11 Differential geometry (53-XX) 10 Commutative algebra (13-XX) 10 Associative rings and algebras (16-XX) 10 Special functions (33-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Algebraic geometry (14-XX) 7 Geophysics (86-XX) 6 General and overarching topics; collections (00-XX) 6 Field theory and polynomials (12-XX) 5 Group theory and generalizations (20-XX) 4 History and biography (01-XX) 4 Topological groups, Lie groups (22-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral transforms, operational calculus (44-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Abstract harmonic analysis (43-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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