Edit Profile (opens in new tab) Byers, Ralph Compute Distance To: Compute Author ID: byers.ralph Published as: Byers, Ralph; Byers, R. Documents Indexed: 44 Publications since 1984 Biographic References: 1 Publication Co-Authors: 26 Co-Authors with 35 Joint Publications 800 Co-Co-Authors all top 5 Co-Authors 9 single-authored 17 Mehrmann, Volker 12 Benner, Peter 7 Xu, Hongguo 5 Bunse-Gerstner, Angelika 3 Nichols, Nancy K. 2 Alam, Rafikul 2 Braman, Karen 2 He, Chunyang 2 Kressner, Daniel 2 Mathias, Roy 2 Nash, Stephen G. 2 Quintana-Ortí, Enrique S. 1 Barth, Eric 1 Bora, Shreemayee 1 Faßbender, Heike 1 Geerts, Ton 1 Harris, Bernard J. 1 Hernández, Vicente G. 1 Kunkel, Peter 1 Losse, Philip 1 Man Kam Kwong 1 Mayo, Rafael 1 Overton, Michael L. 1 Quintana-Ortí, Gregorio 1 Safique Ahmad, Sk. 1 Watkins, David S. all top 5 Serials 9 SIAM Journal on Matrix Analysis and Applications 7 Linear Algebra and its Applications 3 IEEE Transactions on Automatic Control 3 Numerische Mathematik 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Scientific and Statistical Computing 2 ETNA. Electronic Transactions on Numerical Analysis 1 International Journal of Control 1 ACM Transactions on Mathematical Software 1 Automatica 1 BIT 1 Journal of Differential Equations 1 SIAM Journal on Algebraic and Discrete Methods 1 Parallel Computing 1 Journal of Parallel and Distributed Computing 1 Numerical Linear Algebra with Applications 1 Methods of Operations Research all top 5 Fields 34 Numerical analysis (65-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 19 Systems theory; control (93-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 43 Publications have been cited 796 times in 603 Documents Cited by ▼ Year ▼ A bisection method for measuring the distance of a stable matrix to the unstable matrices. Zbl 0658.65044Byers, Ralph 65 1988 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 Weighted means and oscillation conditions for second order matrix differential equations. Zbl 0609.34042Byers, Ralph; Harris, B. J.; Man Kam Kwong 43 1986 Solving the algebraic Riccati equation with the matrix sign function. Zbl 0611.65027Byers, Ralph 42 1987 A chart of numerical methods for structured eigenvalue problems. Zbl 0757.65040Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker 39 1992 A Hamiltonian QR algorithm. Zbl 0611.65026Byers, Ralph 33 1986 On the stability radius of a generalized state-space system. Zbl 0783.65056Byers, Ralph; Nichols, N. K. 30 1993 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 Structured condition numbers for invariant subspaces. Zbl 1116.65052Byers, Ralph; Kressner, Daniel 27 2006 Feedback design for regularizing descriptor systems. Zbl 0944.65082Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker; Nichols, Nancy K. 25 1999 An exact line search method for solving generalized continuous-time algebraic Riccati equations. Zbl 0908.93026Benner, Peter; Byers, Ralph 25 1998 The multishift QR algorithm. II: Aggressive early deflation. Zbl 1017.65032Braman, Karen; Byers, Ralph; Mathias, Roy 22 2002 The multishift QR algorithm. I: Maintaining well-focused shifts and level 3 performance. Zbl 1017.65031Braman, Karen; Byers, Ralph; Mathias, Roy 21 2002 Numerical methods for simultaneous diagonalization. Zbl 0786.65030Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker 18 1993 Approaches to robust pole assignment. Zbl 0666.93042Byers, Ralph; Nash, Stephen G. 18 1989 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 A robust numerical method for the \(\gamma\)-iteration in \(H_{\infty}\) control. Zbl 1124.93022Benner, Peter; Byers, Ralph; Mehrmann, Volker; Xu, Hongguo 18 2007 Where is the nearest non-regular pencil? Zbl 0935.15013Byers, Ralph; He, Chunyang; Mehrmann, Volker 17 1998 Regularization of linear descriptor systems with variable coefficients. Zbl 0895.93026Byers, Ralph; Kunkel, Peter; Mehrmann, Volker 16 1997 An arithmetic for matrix pencils: theory and new algorithms. Zbl 1101.65046Benner, Peter; Byers, Ralph 16 2006 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 Evaluating products of matrix pencils and collapsing matrix products. Zbl 1055.65053Benner, Peter; Byers, Ralph 15 2001 On the singular “vectors” of the Lyapunov operator. Zbl 0633.65042Byers, Ralph; Nash, Stephen 14 1987 Trimmed linearizations for structured matrix polynomials. Zbl 1155.65026Byers, Ralph; Mehrmann, Volker; Xu, Hongguo 14 2008 A new scaling for Newton’s iteration for the polar decomposition and its backward stability. Zbl 1170.65019Byers, Ralph; Xu, Hongguo 14 2008 A LINPACK-style condition estimator for the equation \(AX-XB^ T=C\). Zbl 0544.65027Byers, Ralph 13 1984 On the condition of a complex eigenvalue under real perturbations. Zbl 1071.15004Byers, R.; Kressner, D. 12 2004 On pseudospectra, critical points, and multiple eigenvalues of matrix pencils. Zbl 1206.65137Ahmad, Sk. Safique; Alam, Rafikul; Byers, Ralph 8 2010 Characterization and construction of the nearest defective matrix via coalescence of pseudospectral components. Zbl 1228.65062Alam, Rafikul; Bora, Shreemayee; Byers, Ralph; Overton, Michael L. 8 2011 Robust formulas for \(H_{\infty }\) optimal controllers. Zbl 1252.93047Benner, Peter; Byers, Ralph; Losse, Philip; Mehrmann, Volker; Xu, Hongguo 7 2011 Detecting nearly uncontrollable pairs. Zbl 0722.93010Byers, Ralph 7 1990 Parallel algorithms for LQ optimal control of discrete-time periodic linear systems. Zbl 1008.93035Benner, Peter; Byers, Ralph; Mayo, Rafael; Quintana-Ortí, Enrique S.; Hernández, Vicente 6 2002 Solving algebraic Riccati equations on parallel computers using Newton’s method with exact line search. Zbl 0949.65041Benner, P.; Byers, R.; Quintana-Ortí, E. S.; Quintana-Ortí, G. 6 2000 The descriptor controllability radius. Zbl 0925.93084Byers, Ralph 6 1994 Numerical methods for linear quadratic and \(H_\infty\) control problems. Zbl 0928.93017Benner, Peter; Byers, Ralph; Mehrmann, Volker; Xu, Hongguo 6 1999 A Hamiltonian-Jacobi algorithm. Zbl 0706.65066Byers, Ralph 5 1990 Numerical condition of the algebraic Riccati equation. Zbl 0579.65037Byers, Ralph 4 1985 Algorithm 800. Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices. I: The square-reduced method. Zbl 1137.65338Benner, Peter; Byers, Ralph; Barth, Eric 3 2000 Step size control for Newton’s method applied to algebraic Riccati equations. Zbl 0819.65078Benner, Peter; Byers, Ralph 1 1994 Symmetric updating of the solution of the algebraic Riccati equation. Zbl 0664.93024Byers, Ralph; Mehrmann, Volker 1 1986 Characterization and construction of the nearest defective matrix via coalescence of pseudospectral components. Zbl 1228.65062Alam, Rafikul; Bora, Shreemayee; Byers, Ralph; Overton, Michael L. 8 2011 Robust formulas for \(H_{\infty }\) optimal controllers. Zbl 1252.93047Benner, Peter; Byers, Ralph; Losse, Philip; Mehrmann, Volker; Xu, Hongguo 7 2011 On pseudospectra, critical points, and multiple eigenvalues of matrix pencils. Zbl 1206.65137Ahmad, Sk. Safique; Alam, Rafikul; Byers, Ralph 8 2010 Trimmed linearizations for structured matrix polynomials. Zbl 1155.65026Byers, Ralph; Mehrmann, Volker; Xu, Hongguo 14 2008 A new scaling for Newton’s iteration for the polar decomposition and its backward stability. Zbl 1170.65019Byers, Ralph; Xu, Hongguo 14 2008 A structured staircase algorithm for skew-symmetric/symmetric pencils. Zbl 1113.65065Byers, Ralph; Mehrmann, Volker; Xu, Hongguo 18 2007 A robust numerical method for the \(\gamma\)-iteration in \(H_{\infty}\) control. Zbl 1124.93022Benner, Peter; Byers, Ralph; Mehrmann, Volker; Xu, Hongguo 18 2007 Structured condition numbers for invariant subspaces. Zbl 1116.65052Byers, Ralph; Kressner, Daniel 27 2006 An arithmetic for matrix pencils: theory and new algorithms. Zbl 1101.65046Benner, Peter; Byers, Ralph 16 2006 On the condition of a complex eigenvalue under real perturbations. Zbl 1071.15004Byers, R.; Kressner, D. 12 2004 Numerical computation of deflating subspaces of skew-Hamiltonian/Hamiltonian pencils. Zbl 1035.49022Benner, Peter; Byers, Ralph; Mehrmann, Volker; Xu, Hongguo 28 2002 The multishift QR algorithm. II: Aggressive early deflation. Zbl 1017.65032Braman, Karen; Byers, Ralph; Mathias, Roy 22 2002 The multishift QR algorithm. I: Maintaining well-focused shifts and level 3 performance. Zbl 1017.65031Braman, Karen; Byers, Ralph; Mathias, Roy 21 2002 Parallel algorithms for LQ optimal control of discrete-time periodic linear systems. Zbl 1008.93035Benner, Peter; Byers, Ralph; Mayo, Rafael; Quintana-Ortí, Enrique S.; Hernández, Vicente 6 2002 Evaluating products of matrix pencils and collapsing matrix products. Zbl 1055.65053Benner, Peter; Byers, Ralph 15 2001 Cholesky-like factorizations of skew-symmetric matrices. Zbl 0963.65033Benner, Peter; Byers, Ralph; Fassbender, Heike; Mehrmann, Volker; Watkins, David 18 2000 Solving algebraic Riccati equations on parallel computers using Newton’s method with exact line search. Zbl 0949.65041Benner, P.; Byers, R.; Quintana-Ortí, E. S.; Quintana-Ortí, G. 6 2000 Algorithm 800. Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices. I: The square-reduced method. Zbl 1137.65338Benner, Peter; Byers, Ralph; Barth, Eric 3 2000 Feedback design for regularizing descriptor systems. Zbl 0944.65082Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker; Nichols, Nancy K. 25 1999 Numerical methods for linear quadratic and \(H_\infty\) control problems. Zbl 0928.93017Benner, Peter; Byers, Ralph; Mehrmann, Volker; Xu, Hongguo 6 1999 An exact line search method for solving generalized continuous-time algebraic Riccati equations. Zbl 0908.93026Benner, Peter; Byers, Ralph 25 1998 Where is the nearest non-regular pencil? Zbl 0935.15013Byers, Ralph; He, Chunyang; Mehrmann, Volker 17 1998 Regularization of linear descriptor systems with variable coefficients. Zbl 0895.93026Byers, Ralph; Kunkel, Peter; Mehrmann, Volker 16 1997 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 The descriptor controllability radius. Zbl 0925.93084Byers, Ralph 6 1994 Step size control for Newton’s method applied to algebraic Riccati equations. Zbl 0819.65078Benner, Peter; Byers, Ralph 1 1994 On the stability radius of a generalized state-space system. Zbl 0783.65056Byers, Ralph; Nichols, N. K. 30 1993 Numerical methods for simultaneous diagonalization. Zbl 0786.65030Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker 18 1993 A chart of numerical methods for structured eigenvalue problems. Zbl 0757.65040Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker 39 1992 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 Detecting nearly uncontrollable pairs. Zbl 0722.93010Byers, Ralph 7 1990 A Hamiltonian-Jacobi algorithm. Zbl 0706.65066Byers, Ralph 5 1990 A quaternion QR-algorithm. Zbl 0681.65024Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker 28 1989 Approaches to robust pole assignment. Zbl 0666.93042Byers, Ralph; Nash, Stephen G. 18 1989 A bisection method for measuring the distance of a stable matrix to the unstable matrices. Zbl 0658.65044Byers, Ralph 65 1988 Solving the algebraic Riccati equation with the matrix sign function. Zbl 0611.65027Byers, Ralph 42 1987 On the singular “vectors” of the Lyapunov operator. Zbl 0633.65042Byers, Ralph; Nash, Stephen 14 1987 Weighted means and oscillation conditions for second order matrix differential equations. Zbl 0609.34042Byers, Ralph; Harris, B. J.; Man Kam Kwong 43 1986 A Hamiltonian QR algorithm. Zbl 0611.65026Byers, Ralph 33 1986 Symmetric updating of the solution of the algebraic Riccati equation. Zbl 0664.93024Byers, Ralph; Mehrmann, Volker 1 1986 Numerical condition of the algebraic Riccati equation. Zbl 0579.65037Byers, Ralph 4 1985 A LINPACK-style condition estimator for the equation \(AX-XB^ T=C\). Zbl 0544.65027Byers, Ralph 13 1984 all cited Publications top 5 cited Publications all top 5 Cited by 735 Authors 49 Mehrmann, Volker 34 Benner, Peter 15 Kressner, Daniel 15 Mehl, Christian 15 Meng, Fanwei 12 Van Dooren, Paul M. 11 Dopico, Froilán M. 11 Quintana-Ortí, Enrique S. 11 Xu, Hongguo 9 Faßbender, Heike 9 Sun, Yuangong 8 de Terán, Fernando 7 Byers, Ralph 7 Kågström, Bo 7 Lin, Wen-Wei 7 Linh, Vu Hoang 7 Mackey, D. Steven 7 Poloni, Federico Giovanni 7 Sharma, Punit 6 Chu, Moody T. 6 Guglielmi, Nicola 6 Iannazzo, Bruno 6 Kononov, Alekseĭ Denisovich 6 Kunkel, Peter 6 Reis, Timo 6 Shcheglova, Alla Arkad’evna 6 Stykel, Tatjana 6 Watkins, David S. 5 Alam, Rafikul 5 Diao, Huaian 5 Fan, Hung-Yuan 5 Jia, Zhigang 5 Nakatsukasa, Yuji 5 Noferini, Vanni 5 Noschese, Silvia 5 Petkov, Petko Hr. 5 Quintana-Ortí, Gregorio 5 Rodman, Leiba X. 5 Safique Ahmad, Sk. 5 Voigt, Matthias 5 Wei, Yimin 5 Yang, Qigui 5 Zhang, Shao-Liang 4 Chiang, Chun-Yueh 4 Chu, Delin 4 Dmytryshyn, Andrii R. 4 Higham, Nicholas J. 4 Karow, Michael 4 King-wah Chu, Eric 4 Konstantinov, Mikhail Mikhajlov 4 Kostić, Vladimir R. 4 Laub, Alan J. 4 Li, Wen 4 Lin, Matthew M. 4 Lu, Linzhang 4 Mackey, Niloufer 4 Mengi, Emre 4 Michiels, Wim 4 Mitchell, Tim 4 Protasov, Vladimir Yu. 4 Remón, Alfredo 4 Simoncini, Valeria 4 Sogabe, Tomohiro 4 Soleymani, Fazlollah 4 Stefanovski, Jovan D. 4 Sun, Jiguang 4 Thuan, Do Duc 4 Tisseur, Françoise 4 Vandebril, Raf 4 Wei, Musheng 4 Wojtylak, Michał 4 Zheng, Zhaowen 3 Adhikari, Bibhas 3 Ali, Istkhar 3 Baur, Ulrike 3 Bora, Shreemayee 3 Christov, Nicolai D. 3 Chu, Eric K.-W. 3 Cvetković, Ljiljana 3 Darouach, Mohamed 3 Dieci, Luca 3 Duan, Guangren 3 Erbe, Lynn Harry 3 Ezzatti, Pablo 3 Freitag, Melina A. 3 Gawlik, Evan S. 3 Gillis, Nicolas 3 He, ZhuoHeng 3 Karlsson, Lars 3 Kenney, Charles S. 3 Khoromskiĭ, Boris Nikolaevich 3 Kilic, Emrah 3 Li, Hanyu 3 Malec, Lukáš 3 Malyshev, Alexander N. 3 Mingarelli, Angelo Bernado 3 Nguyen Huu Du 3 Ran, André C. M. 3 Saak, Jens 3 Sadkane, Miloud ...and 635 more Authors all top 5 Cited in 133 Serials 119 Linear Algebra and its Applications 41 SIAM Journal on Matrix Analysis and Applications 34 Journal of Computational and Applied Mathematics 24 Applied Mathematics and Computation 22 Systems & Control Letters 21 Automatica 21 Numerical Linear Algebra with Applications 14 BIT 14 Numerische Mathematik 13 International Journal of Control 12 Journal of Mathematical Analysis and Applications 12 MCSS. Mathematics of Control, Signals, and Systems 10 Journal of the Franklin Institute 8 Linear and Multilinear Algebra 8 Applied Numerical Mathematics 8 Numerical Algorithms 8 SIAM Journal on Scientific Computing 6 Computers & Mathematics with Applications 6 Calcolo 6 Applied Mathematics Letters 6 Computational and Applied Mathematics 5 Mathematics of Computation 5 ETNA. Electronic Transactions on Numerical Analysis 5 ELA. The Electronic Journal of Linear Algebra 5 Mathematical Problems in Engineering 5 East Asian Journal on Applied Mathematics 4 Rocky Mountain Journal of Mathematics 4 Journal of Differential Equations 4 Proceedings of the American Mathematical Society 4 Journal of Scientific Computing 3 International Journal of Systems Science 3 ACM Transactions on Mathematical Software 3 Mathematical and Computer Modelling 3 Japan Journal of Industrial and Applied Mathematics 3 Automation and Remote Control 3 Journal of Mathematical Sciences (New York) 3 Advances in Applied Clifford Algebras 3 Acta Numerica 3 Complex Analysis and Operator Theory 2 Computer Methods in Applied Mechanics and Engineering 2 Computer Physics Communications 2 Journal of Computational Physics 2 Journal of Optimization Theory and Applications 2 Kybernetika 2 SIAM Journal on Control and Optimization 2 Parallel Computing 2 SIAM Review 2 SIAM Journal on Optimization 2 Applied Mathematics. Series B (English Edition) 2 Filomat 2 European Journal of Control 2 Mathematical and Computer Modelling of Dynamical Systems 2 Discrete Dynamics in Nature and Society 2 Journal of Interdisciplinary Mathematics 2 PAMM. Proceedings in Applied Mathematics and Mechanics 2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 2 Nonlinear Analysis. Theory, Methods & Applications 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Communications in Mathematical Physics 1 International Journal of Engineering Science 1 Journal of Engineering Mathematics 1 Journal of Mathematical Physics 1 Ukrainian Mathematical Journal 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Archivum Mathematicum 1 Computing 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Optimal Control Applications & Methods 1 Advances in Applied Mathematics 1 SIAM Journal on Algebraic and Discrete Methods 1 Circuits, Systems, and Signal Processing 1 Applied Mathematics and Mechanics. (English Edition) 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Computer Aided Geometric Design 1 Journal of Symbolic Computation 1 Constructive Approximation 1 International Journal of Parallel Programming 1 Multidimensional Systems and Signal Processing 1 International Journal of Computer Mathematics 1 Journal of Statistical Computation and Simulation 1 Expositiones Mathematicae 1 Journal of Dynamics and Differential Equations 1 Computational Optimization and Applications 1 Journal of Computer and Systems Sciences International 1 The Journal of Analysis 1 Algebra Colloquium 1 Turkish Journal of Mathematics 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications 1 Bernoulli 1 Journal of Vibration and Control 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Optimization Methods & Software 1 Journal of Inequalities and Applications ...and 33 more Serials all top 5 Cited in 50 Fields 327 Numerical analysis (65-XX) 303 Linear and multilinear algebra; matrix theory (15-XX) 177 Systems theory; control (93-XX) 91 Ordinary differential equations (34-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 24 Operator theory (47-XX) 21 Dynamical systems and ergodic theory (37-XX) 17 Operations research, mathematical programming (90-XX) 7 Difference and functional equations (39-XX) 7 Mechanics of deformable solids (74-XX) 6 Number theory (11-XX) 6 Functional analysis (46-XX) 6 Statistics (62-XX) 6 Mechanics of particles and systems (70-XX) 5 Combinatorics (05-XX) 5 Partial differential equations (35-XX) 5 Approximations and expansions (41-XX) 5 Computer science (68-XX) 4 Nonassociative rings and algebras (17-XX) 4 Real functions (26-XX) 4 Fluid mechanics (76-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Information and communication theory, circuits (94-XX) 3 Algebraic geometry (14-XX) 3 Group theory and generalizations (20-XX) 3 Functions of a complex variable (30-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Citations by Year