Edit Profile (opens in new tab) Ran, André C. M. Compute Distance To: Compute Author ID: ran.andre-c-m Published as: Ran, André C. M.; Ran, A. C. M.; Ran, André; Ran, Andre; Ran, Andre C. M. more...less Homepage: http://www.few.vu.nl/~ran/ External Links: MGP · ResearchGate · dblp Documents Indexed: 170 Publications since 1982, including 4 Books 14 Contributions as Editor · 2 Further Contributions Co-Authors: 79 Co-Authors with 178 Joint Publications 1,979 Co-Co-Authors all top 5 Co-Authors 8 single-authored 59 Rodman, Leiba X. 28 Kaashoek, Marinus Adriaan 15 Groenewald, Gilbert J. 15 Van der Mee, Cornelis Victor Maria 13 Mehl, Christian 11 Bart, Harm 11 Gohberg, Israel 11 ter Horst, Sanne 10 Janse van Rensburg, Dawie B. 10 van Schuppen, Jan H. 9 Ball, Joseph Anthony 7 Lerer, Leonid Efimovich 7 Petersen, Mark Adam 6 Frazho, Arthur E. 6 Mehrmann, Volker 6 Wojtylak, Michał 5 Reurings, Martine C. B. 4 Bolshakov, Yuri 4 Fourie, Jan H. 4 Kempker, Pia L. 4 Messerschmidt, Miek 4 Reichstein, Boris 4 Theron, Frieda 4 van Straaten, Madelein 3 Böttcher, Albrecht 3 Brualdi, Richard Anthony 3 Dym, Harry 3 Jaftha, Jacob J. 3 Rabe, Hermann 3 Temme, Dirk 3 van Schagen, Frederik 3 Woerdeman, Hugo Jan 2 Alpay, Daniel Aron 2 Heij, Christiaan 2 Lancaster, Peter 2 Langer, Heinz 2 Prather, Carl L. 2 Roelands, Mark 2 Roozemond, L. 2 te Riele, Herman 1 Anehila, B. 1 Batzke, Leonhard 1 Bierkens, Joris 1 Bolotnikov, Vladimir 1 Boutin, Olivier 1 Brandts, Jan H. 1 Bubák, Pavel 1 Cohen, Nir 1 Curtain, Ruth Frances 1 Dijksma, Aad 1 Eisner, Tanja 1 El-Sayed, Salah M. 1 Elsner, Ludwig F. 1 Engwerda, Jacob Christiaan 1 Groenwald, G. J. 1 Jacob, Birgit 1 Karelin, Irina I. 1 Kes, Jan S. 1 Komenda, Jan 1 Margulis, Igor 1 Masopust, Tomáš 1 Pambakian, Nicola 1 Philipp, Friedrich 1 Pik, Derk 1 Rijkeboer, Arie L. 1 Rubenstein, S. 1 Rubin, Arthur Leonard 1 Rubin, Jonathan E. 1 Serény, András 1 Spitkovsky, Ilya Matvey 1 Trentelman, Harry L. 1 Uhlig, Frank 1 van de Rotten, B. A. 1 Van Dooren, Paul M. 1 van Mill, Jan 1 Vinnikov, Victor L. 1 Vreugdenhil, Rob 1 Wiegerinck, Jan J. O. O. 1 Wortel, Marten 1 Zizler, Peter 1 Zwart, Hans J. all top 5 Serials 46 Linear Algebra and its Applications 29 Integral Equations and Operator Theory 9 SIAM Journal on Matrix Analysis and Applications 9 Operator Theory: Advances and Applications 7 ELA. The Electronic Journal of Linear Algebra 6 Linear and Multilinear Algebra 6 Indagationes Mathematicae. New Series 5 Operators and Matrices 4 Journal of Mathematical Analysis and Applications 3 Journal of Functional Analysis 3 SIAM Journal on Control and Optimization 3 Systems & Control Letters 3 Complex Analysis and Operator Theory 2 MCSS. Mathematics of Control, Signals, and Systems 1 American Mathematical Monthly 1 International Journal of Control 1 Automatica 1 BIT 1 Bulletin of the London Mathematical Society 1 IEEE Transactions on Automatic Control 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Glasnik Matematički. Serija III 1 European Mathematical Society Newsletter 1 European Journal of Control all top 5 Fields 117 Linear and multilinear algebra; matrix theory (15-XX) 103 Operator theory (47-XX) 54 Systems theory; control (93-XX) 12 General and overarching topics; collections (00-XX) 9 History and biography (01-XX) 9 Functions of a complex variable (30-XX) 9 Functional analysis (46-XX) 5 Numerical analysis (65-XX) 4 Ordinary differential equations (34-XX) 4 Difference and functional equations (39-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Real functions (26-XX) 2 Partial differential equations (35-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 146 Publications have been cited 1,934 times in 1,362 Documents Cited by ▼ Year ▼ A fixed point theorem in partially ordered sets and some applications to matrix equations. Zbl 1060.47056Ran, André C. M.; Reurings, Martine C. B. 766 2004 Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation \(X+A^*X^{-1}A=Q\). Zbl 0778.15008Engwerda, Jacob C.; Ran, André C. M.; Rijkeboer, Arie L. 106 1993 On an iteration method for solving a class of nonlinear matrix equations. Zbl 1002.65061El-Sayed, Salah M.; Ran, André C. M. 76 2001 Existence and comparison theorems for algebraic Riccati equations for continuous- and discrete-time systems. Zbl 0637.15008Ran, A. C. M.; Vreugdenhil, R. 58 1988 On the nonlinear matrix equation \(X+A^*{\mathcal F}(X)A=Q\): solutions and perturbation theory. Zbl 1086.15013Ran, André C. M.; Reurings, Martine C. B. 39 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 38 2011 Minimal factorization of selfadjoint rational matrix functions. Zbl 0492.47013Ran, A. C. M. 33 1982 Optimal Hankel norm model reductions and Wiener-Hopf factorization. I: The canonical case. Zbl 0623.93016Ball, Joseph A.; Ran, André C. M. 31 1987 Stability of invariant maximal semidefinite subspaces. I. Zbl 0561.15001Ran, A. C. M.; Rodman, Leiba 28 1984 Factorization of matrix and operator functions. The state space method. Zbl 1149.47001Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M. 27 2008 Polar decompositions in finite dimensional indefinite scalar product spaces: General theory. Zbl 0881.15013Bolshakov, Yuri; van der Mee, Cornelis V. M.; Ran, André C. M.; Reichstein, Boris; Rodman, Leiba 23 1997 A nonlinear matrix equation connected to interpolation theory. Zbl 1039.15007Ran, André C. M.; Reurings, Martine C. B. 21 2004 Linear quadratic problems with indefinite cost for discrete time systems. Zbl 0786.93043Ran, A. C. M.; Trentelman, H. L. 20 1993 Hermitian solutions of the discrete algebraic Riccati equation. Zbl 0598.15011Lancaster, Peter; Ran, A. C. M.; Rodman, Leiba 20 1986 Jordan forms of real and complex matrices under rank one perturbations. Zbl 1281.15012Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba 19 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 A state space approach to canonical factorization with applications. Zbl 1203.47001Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M. 17 2010 The symmetric linear matrix equation. Zbl 1002.15015Ran, André C. M.; Reurings, Martine C. B. 17 2002 Eigenvalues of rank one perturbations of unstructured matrices. Zbl 1247.15009Ran, André C. M.; Wojtylak, Michał 16 2012 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 Global inverse spectral problems for rational matrix functions. Zbl 0617.15017Ball, Joseph A.; Ran, André C. M. 16 1987 Local inverse spectral problems for rational matrix functions. Zbl 0621.47022Ball, Joseph A.; Ran, André C. M. 16 1987 Polar decompositions in finite dimensional indefinite scalar product spaces: Special cases and applications. Zbl 0861.15012Bolshakov, Y.; van der Mee, Cornelis V. M.; Ran, A. C. M.; Reichstein, B.; Rodman, Leiba 14 1996 Schur complements and state space realizations. Zbl 1083.47016Bart, H.; Gohberg, I.; Kaashoek, M. A.; Ran, A. C. M. 12 2005 A perturbation analysis for nonlinear selfadjoint operator equations. Zbl 1105.47053Ran, A. C. M.; Reurings, M. C. B.; Rodman, L. 12 2006 Stable invariant Lagrangian subspaces: Factorization of symmetric rational matrix functions and other applications. Zbl 0706.15029Ran, André C. M.; Rodman, Leiba 12 1990 Introduction to mathematical systems theory. Linear systems, identification and control. With CD-ROM. Zbl 1127.93004Heij, Christiaan; Ran, André; van Schagen, Freek 12 2007 Invariant subspaces of infinite dimensional Hamiltonians and solutions of the corresponding Riccati equations. Zbl 1044.93014Langer, H.; Ran, A. C. M.; van de Rotten, B. A. 12 2002 Extension of isometries in finite-dimensional indefinite scalar product spaces and polar decompositions. Zbl 0874.15022Bolshakov, Yuri; van der Mee, Cornelis V. M.; Ran, André C. M.; Reichstein, Boris; Rodman, Leiba 11 1997 Regular rational matrix functions with prescribed null and pole data except at infinity. Zbl 0721.15015Gohberg, I.; Kaashoek, M. A.; Ran, A. C. M. 11 1990 Explicit formulas for Hankel norm approximations of infinite-dimensional systems. Zbl 0681.47008Curtain, Ruth F.; Ran, A. C. M. 11 1989 Stability of invariant maximal semidefinite subspaces. II. Applications: Self-adjoint rational matrix functions, algebraic Riccati equations. Zbl 0593.15008Ran, A. C. M.; Rodman, Leiba 11 1984 Factorizations of and extensions to J-unitary rational matrix functions on the unit circle. Zbl 0792.47012Gohberg, I.; Kaashoek, M. A.; Ran, A. C. M. 11 1992 Factorization of matrix polynomials with symmetries. Zbl 0810.15005Ran, André C. M.; Rodman, Leiba 10 1994 Constructive methods of Wiener-Hopf factorization. Zbl 0612.47025 10 1986 The non-symmetric discrete algebraic Riccati equation and canonical factorization of rational matrix functions on the unit circle. Zbl 1210.47045Frazho, A. E.; Kaashoek, M. A.; Ran, A. C. M. 9 2010 Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices. Zbl 1163.15030Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba 9 2009 Stability of neutral invariant subspaces in indefinite inner products and stable symmetric factorizations. Zbl 0516.47022Ran, A. C. M.; Rodman, Leiba 9 1983 Stable hermitian solutions of discrete algebraic Riccati equations. Zbl 0771.93059Ran, André C. M.; Rodman, Leiba 9 1992 Generic rank-\(k\) perturbations of structured matrices. Zbl 1371.15013Batzke, Leonhard; Mehl, Christian; Ran, André C. M.; Rodman, Leiba 9 2016 Control of distributed systems: tutorial and overview. Zbl 1259.93018van Schuppen, Jan H.; Boutin, Olivier; Kempker, Pia L.; Komenda, Jan; Masopust, Tomáš; Pambakian, Nicola; Ran, André C. M. 8 2011 Basic classes of matrices with respect to quaternionic indefinite inner product spaces. Zbl 1102.15014Alpay, D.; Ran, A. C. M.; Rodman, L. 8 2006 Polar decompositions of normal operators in indefinite inner product spaces. Zbl 1108.47034Mehl, Christian; Ran, André C. M.; Rodman, Leiba 8 2006 Dissipative matrices and invariant maximal semidefinite subspaces. Zbl 0813.15023Ran, A. C. M.; Temme, D. 8 1994 An existence and monotonicity theorem for the discrete algebraic matrix Riccati equation. Zbl 0626.15005Lancaster, Peter; Ran, A. C. M.; Rodman, Leiba 8 1987 Stability of self-adjoint square roots and polar decompositions in indefinite scalar product spaces. Zbl 0954.15008van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba 8 1999 On symmetric factorizations of rational matrix functions. Zbl 0731.15018Ran, André C. M.; Rodman, Leiba 7 1991 Partial pole and zero displacement by cascade connection. Zbl 0677.93032Gohberg, I.; Kaashoek, M. A.; Ran, A. C. M. 7 1989 Equivalence after extension and matricial coupling coincide with Schur coupling, on separable Hilbert spaces. Zbl 1297.47005ter Horst, Sanne; Ran, André C. M. 7 2013 Necessary and sufficient conditions for existence of \(J\)-spectral factorization for para-Hermitian rational matrix functions. Zbl 1202.47018Ran, A. C. M. 7 2003 Controllability and observability of coordinated linear systems. Zbl 1238.93014Kempker, Pia L.; Ran, André C. M.; van Schuppen, Jan H. 6 2012 Nonnegative solutions of algebraic Riccati equations. Zbl 0881.15017Langer, H.; Ran, A. C. M.; Temme, D. 6 1997 Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation. I: The least squares solution. Zbl 1293.47027Frazho, A. E.; Kaashoek, M. A.; Ran, A. C. M. 6 2011 Matrix polynomials with prescribed zero structure in the finite complex plane. Zbl 0736.15010Gohberg, I.; Kaashoek, M. A.; Ran, A. C. M. 6 1991 Stability of invariant Lagrangian subspaces. II. Zbl 0691.47006Ran, A. C. M.; Rodman, Leiba 6 1989 Hyponormal matrices and semidefinite invariant subspaces in indefinite inner products. Zbl 1066.15030Mehl, Christian; Ran, André C. M.; Rodman, Leiba 6 2004 Minimal square spectral factors via triples. Zbl 0994.47022Petersen, M. A.; Ran, A. C. M. 6 2001 Rank one perturbations of \(H\)-positive real matrices. Zbl 1283.15102Fourie, J. H.; Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M. 6 2013 A singular M-matrix perturbed by a nonnegative rank one matrix has positive principal minors; is it D-stable? Zbl 1291.15017Bierkens, Joris; Ran, André 6 2014 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 On self-adjoint matrix polynomials with constant signature. Zbl 0882.15021Ran, André; Zizler, Peter 5 1997 Stability index of invariant subspaces of matrices. Zbl 0798.15006Ran, André C. M.; Rodman, Leiba; Rubin, Arthur L. 5 1993 Semidefinite invariant subspaces: degenerate inner products. Zbl 1066.15024Mehl, Christian; Ran, André C. M.; Rodman, Leiba 5 2004 Minimal square spectral factors. Zbl 0877.93027Ran, André C. M. 4 1995 On pseudo-canonical factorization of rational matrix functions. Zbl 0780.15008Gohberg, I.; Ran, A. C. M. 4 1993 Equivalence after extension for compact operators on Banach spaces. Zbl 1316.47023ter Horst, S.; Messerschmidt, M.; Ran, A. C. M. 4 2015 LQ control for coordinated linear systems. Zbl 1360.93008Kempker, Pia L.; Ran, André C. M.; van Schuppen, Jan H. 4 2014 Semidefinite perturbations of analytic Hermitian matrix functions. Zbl 0757.15003Ran, André C. M.; Rodman, Leiba 4 1989 Direct complements of invariant Lagrangian subspaces and minimal factorizations of skew-symmetric rational matrix functions. Zbl 0780.15009Ran, André C. M.; Rodman, Leiba; Rubin, Jonathan E. 4 1993 Topics in interpolation theory of rational matrix-valued functions. Zbl 0651.47008 4 1988 On parameter dependence of solutions of algebraic Riccati equations. Zbl 0658.93058Ran, André C. M.; Rodman, Leiba 4 1988 Analysis of spectral points of the operators \(T^{[*]} T\) and \(TT ^{[*]}\) in a Krein space. Zbl 1189.47037Ran, André; Wojtylak, Michał 4 2009 Stability of solutions of the operator differential equation in transport theory. Zbl 0584.47049Ran, A. C. M.; Rodman, Leiba 4 1985 Local definitizability of \(T^{[\ast]}T\) and \(TT^{[\ast]}\). Zbl 1272.47006Philipp, Friedrich; Ran, André C. M.; Wojtylak, Michał 4 2011 Polar decompositions and related classes of operators in spaces \(\Pi_\kappa\). Zbl 1045.47034van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba 4 2002 \(J\)-symmetric factorizations and algebraic Riccati equations. Zbl 0994.47021Karelin, I.; Lerer, L.; Ran, A. C. M. 4 2001 Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation. II: Description of all solutions. Zbl 1257.47032Frazho, A. E.; Kaashoek, M. A.; Ran, A. C. M. 4 2012 Optimal Hankel norm model reductions and Wiener-Hopf factorization II: The non-canonical case. Zbl 0621.47021Ball, Joseph A.; Ran, André C. M. 4 1987 Positive real matrices in indefinite inner product spaces and invariant maximal semidefinite subspaces. Zbl 1120.15024Fourie, J. H.; Groenewald, G. J.; Ran, A. C. M. 3 2007 A canonical form for \(H\)-unitary matrices. Zbl 1360.15015Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M. 3 2016 \(m\) th roots of \(H\)-selfadjoint matrices. Zbl 1460.15015Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M.; Theron, F.; van Straaten, M. 3 2021 On stability of invariant subspaces of matrices. Zbl 0736.15014Ran, André C. M.; Rodman, Leiba 3 1990 The rate of convergence of real invariant subspaces. Zbl 0805.65044Ran, André C. M.; Rodman, Leiba 3 1994 Generalized canonical factorization of matrix and operator functions with definite Hermitian part. Zbl 0792.47017Ran, André C. M.; Rodman, Leiba 3 1992 Stability of invariant Lagrangian subspaces. I. Zbl 0658.47010Ran, André C. M.; Rodman, Leiba 3 1988 Hankel norm approximation of real symmetric rational matrix functions. Zbl 0625.93016Ball, J. A.; Ran, A. C. M. 3 1987 Real Hamiltonian polar decompositions. Zbl 0982.15012van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba 3 2001 Construction and minimality of coordinated linear systems. Zbl 1287.93005Kempker, Pia L.; Ran, André C. M.; van Schuppen, Jan H. 3 2014 A class of robustness problems in matrix analysis. Zbl 1029.15005Ran, André C. M.; Rodman, Leiba 3 2002 A new inertia theorem for Stein equations, inertia of invertible Hermitian block Toeplitz matrices and matrix orthogonal polynomials. Zbl 1035.15016Lerer, Leonid; Ran, André C. M. 3 2003 \(J\)-pseudo-spectral and \(J\)-inner-pseudo-outer factorizations for matrix polynomials. Zbl 0896.47015Lerer, L.; Ran, A. C. M. 3 1997 Errata for: Polar decompositions in finite dimensional indefinite scalar product spaces: Special cases and applications. Zbl 0897.15005Bolshakov, Yuri; van der Mee, Cornelis V. M.; Ran, André C. M.; Reichstein, Boris; Rodman, Leiba 3 1997 Hankel norm approximation of a rational matrix function in terms of its realization. Zbl 0612.47015Ball, Joseph A.; Ran, André C. M. 3 1986 Equivalence after extension and Schur coupling coincide for inessential operators. Zbl 1436.47003ter Horst, S.; Messerschmidt, M.; Ran, A. C. M.; Roelands, M.; Wortel, M. 2 2018 Simple forms and invariant subspaces of \(H\)-expansive matrices. Zbl 1309.15019Fourie, J. H.; Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M. 2 2015 The discrete algebraic Riccati equation and Hermitian block Toeplitz matrices. Zbl 1252.15018Lerer, Leonid; Ran, André C. M. 2 2012 The finite section method for infinite Vandermonde matrices. Zbl 1259.15004Ran, André C. M.; Serény, András 2 2012 The pair of operators \(T^{[*]}T\) and \(TT^{[*]}\): \(J\)-dilations and canonical forms. Zbl 1219.47057Ran, André C. M.; Wojtylak, Michał 2 2010 Extension to maximal semidefinite invariant subspaces for hyponormal matrices in indefinite inner products. Zbl 1111.15026Mehl, Christian; Ran, André C. M.; Rodman, Leiba 2 2007 Approximation of solutions of Riccati equations. Zbl 1139.93016Bubák, Pavel; van der Mee, Cornelis V. M.; Ran, André C. M. 2 2005 \(m\) th roots of \(H\)-selfadjoint matrices. Zbl 1460.15015Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M.; Theron, F.; van Straaten, M. 3 2021 Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices. Zbl 1472.15012Ran, André C. M.; Wojtylak, Michał 2 2021 Introduction to mathematical systems theory. Discrete time linear systems, control and identification. 2nd corrected and expanded edition. Zbl 1461.93001Heij, Christiaan; Ran, André C. M.; van Schagen, Frederik 1 2021 \(m\)th roots of \(H\)-selfadjoint matrices over the quaternions. Zbl 1471.15025Janse van Rensburg, Dawie B.; Ran, André C. M.; Theron, Frieda; van Straaten, Madelein 1 2021 Equivalence after extension and Schur coupling do not coincide on essentially incomparable Banach spaces. Zbl 1508.47026ter Horst, S.; Messerschmidt, M.; Ran, A. C. M.; Roelands, M. 1 2019 A Toeplitz-like operator with rational symbol having Poles on the unit circle. III: The adjoint. Zbl 07123544Groenewald, G. J.; ter Horst, S.; Jaftha, J.; Ran, A. C. M. 1 2019 Equivalence after extension and Schur coupling coincide for inessential operators. Zbl 1436.47003ter Horst, S.; Messerschmidt, M.; Ran, A. C. M.; Roelands, M.; Wortel, M. 2 2018 A Toeplitz-like operator with rational symbol having poles on the unit circle. I: Fredholm properties. Zbl 1476.47025Groenewald, G. J.; ter Horst, S.; Jaftha, J.; Ran, A. C. M. 2 2018 A note on inner-outer factorization of wide matrix-valued functions. Zbl 1459.47011Frazho, A. E.; Ran, A. C. M. 1 2018 Canonical form for \(H\)-symplectic matrices. Zbl 1473.15020Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M. 1 2018 Wiener-Hopf indices of unitary functions on the unit circle in terms of realizations and related results on Toeplitz operators. Zbl 06722466Groenewald, G. J.; Kaashoek, M. A.; Ran, A. C. M. 2 2017 Low rank perturbations of quaternion matrices. Zbl 1386.15059Mehl, Christian; Ran, Andre C. M. 1 2017 Generic rank-\(k\) perturbations of structured matrices. Zbl 1371.15013Batzke, Leonhard; Mehl, Christian; Ran, André C. M.; Rodman, Leiba 9 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 A canonical form for \(H\)-unitary matrices. Zbl 1360.15015Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M. 3 2016 Equivalence after extension for compact operators on Banach spaces. Zbl 1316.47023ter Horst, S.; Messerschmidt, M.; Ran, A. C. M. 4 2015 Simple forms and invariant subspaces of \(H\)-expansive matrices. Zbl 1309.15019Fourie, J. H.; Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M. 2 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 A singular M-matrix perturbed by a nonnegative rank one matrix has positive principal minors; is it D-stable? Zbl 1291.15017Bierkens, Joris; Ran, André 6 2014 LQ control for coordinated linear systems. Zbl 1360.93008Kempker, Pia L.; Ran, André C. M.; van Schuppen, Jan H. 4 2014 Construction and minimality of coordinated linear systems. Zbl 1287.93005Kempker, Pia L.; Ran, André C. M.; van Schuppen, Jan H. 3 2014 Asymptotics of the smallest singular value of a class of Toeplitz-generated matrices. II. Zbl 1380.15028Rabe, Hermann; Ran, André C. M. 2 2014 A peculiar permutation phenomenon arising from the singular vector entries of a special class of Toeplitz matrices. Zbl 1309.15021Rabe, H.; Ran, A. C. M. 1 2014 Real and complex invariant subspaces for matrices which are \(H\)-positive real in an indefinite inner product space. Zbl 1288.15002Fourie, J. H.; Groenwald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M. 1 2014 Jordan forms of real and complex matrices under rank one perturbations. Zbl 1281.15012Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba 19 2013 Equivalence after extension and matricial coupling coincide with Schur coupling, on separable Hilbert spaces. Zbl 1297.47005ter Horst, Sanne; Ran, André C. M. 7 2013 Rank one perturbations of \(H\)-positive real matrices. Zbl 1283.15102Fourie, J. H.; Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M. 6 2013 Rational matrix solutions of a Bezout type equation on the half-plane. Zbl 1293.47028Frazho, A. E.; Kaashoek, M. A.; Ran, A. C. M. 2 2013 Asymptotics of the smallest singular value of a class of Toeplitz-generated matrices and related finite rank perturbations. Zbl 1292.15031Rabe, Hermann; Ran, André C. M. 2 2013 Preface. Zbl 1298.00102 1 2013 Distributed state estimation with communication of observations. Zbl 1280.93085Ran, André C. M.; van Schuppen, Jan H. 1 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 Eigenvalues of rank one perturbations of unstructured matrices. Zbl 1247.15009Ran, André C. M.; Wojtylak, Michał 16 2012 Controllability and observability of coordinated linear systems. Zbl 1238.93014Kempker, Pia L.; Ran, André C. M.; van Schuppen, Jan H. 6 2012 Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation. II: Description of all solutions. Zbl 1257.47032Frazho, A. E.; Kaashoek, M. A.; Ran, A. C. M. 4 2012 The discrete algebraic Riccati equation and Hermitian block Toeplitz matrices. Zbl 1252.15018Lerer, Leonid; Ran, André C. M. 2 2012 The finite section method for infinite Vandermonde matrices. Zbl 1259.15004Ran, André C. M.; Serény, András 2 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 38 2011 Control of distributed systems: tutorial and overview. Zbl 1259.93018van Schuppen, Jan H.; Boutin, Olivier; Kempker, Pia L.; Komenda, Jan; Masopust, Tomáš; Pambakian, Nicola; Ran, André C. M. 8 2011 Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation. I: The least squares solution. Zbl 1293.47027Frazho, A. E.; Kaashoek, M. A.; Ran, A. C. M. 6 2011 Local definitizability of \(T^{[\ast]}T\) and \(TT^{[\ast]}\). Zbl 1272.47006Philipp, Friedrich; Ran, André C. M.; Wojtylak, Michał 4 2011 A state space approach to canonical factorization with applications. Zbl 1203.47001Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M. 17 2010 The non-symmetric discrete algebraic Riccati equation and canonical factorization of rational matrix functions on the unit circle. Zbl 1210.47045Frazho, A. E.; Kaashoek, M. A.; Ran, A. C. M. 9 2010 The pair of operators \(T^{[*]}T\) and \(TT^{[*]}\): \(J\)-dilations and canonical forms. Zbl 1219.47057Ran, André C. M.; Wojtylak, Michał 2 2010 Ranges of Sylvester maps and a minimal rank problem. Zbl 1191.15002Ran, Andre C. M.; Rodman, Leiba X. 1 2010 Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices. Zbl 1163.15030Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba 9 2009 Analysis of spectral points of the operators \(T^{[*]} T\) and \(TT ^{[*]}\) in a Krein space. Zbl 1189.47037Ran, André; Wojtylak, Michał 4 2009 Factorization of matrix and operator functions. The state space method. Zbl 1149.47001Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M. 27 2008 Inertia theorems based on operator Lyapunov equations. Zbl 1163.47010Lerer, Leonid; Margulis, Igor; Ran, André C. M. 2 2008 On the index of conditional stability of stable invariant Lagrangian subspaces. Zbl 1166.15016Ran, André C. M.; Rodman, Leiba 1 2008 Introduction to mathematical systems theory. Linear systems, identification and control. With CD-ROM. Zbl 1127.93004Heij, Christiaan; Ran, André; van Schagen, Freek 12 2007 Positive real matrices in indefinite inner product spaces and invariant maximal semidefinite subspaces. Zbl 1120.15024Fourie, J. H.; Groenewald, G. J.; Ran, A. C. M. 3 2007 Extension to maximal semidefinite invariant subspaces for hyponormal matrices in indefinite inner products. Zbl 1111.15026Mehl, Christian; Ran, André C. M.; Rodman, Leiba 2 2007 On the relation between \(XX^{[*]}\) and \(X^{[*]}X\) in an indefinite inner product space. Zbl 1154.47032Kes, Jan S.; Ran, André C. M. 1 2007 A perturbation analysis for nonlinear selfadjoint operator equations. Zbl 1105.47053Ran, A. C. M.; Reurings, M. C. B.; Rodman, L. 12 2006 Basic classes of matrices with respect to quaternionic indefinite inner product spaces. Zbl 1102.15014Alpay, D.; Ran, A. C. M.; Rodman, L. 8 2006 Polar decompositions of normal operators in indefinite inner product spaces. Zbl 1108.47034Mehl, Christian; Ran, André C. M.; Rodman, Leiba 8 2006 Schur complements and state space realizations. Zbl 1083.47016Bart, H.; Gohberg, I.; Kaashoek, M. A.; Ran, A. C. M. 12 2005 Approximation of solutions of Riccati equations. Zbl 1139.93016Bubák, Pavel; van der Mee, Cornelis V. M.; Ran, André C. M. 2 2005 Characterization of integral operators with semi-separable kernels with symmetries. Zbl 1080.47039Groenewald, G. J.; Petersen, M. A.; Ran, A. C. M. 1 2005 A fixed point theorem in partially ordered sets and some applications to matrix equations. Zbl 1060.47056Ran, André C. M.; Reurings, Martine C. B. 766 2004 A nonlinear matrix equation connected to interpolation theory. Zbl 1039.15007Ran, André C. M.; Reurings, Martine C. B. 21 2004 Hyponormal matrices and semidefinite invariant subspaces in indefinite inner products. Zbl 1066.15030Mehl, Christian; Ran, André C. M.; Rodman, Leiba 6 2004 Semidefinite invariant subspaces: degenerate inner products. Zbl 1066.15024Mehl, Christian; Ran, André C. M.; Rodman, Leiba 5 2004 Perturbation results for exponentially dichotomous operators on general Banach spaces. Zbl 1069.47014Ran, André C. M.; van der Mee, Cornelis 2 2004 Existence of minimal nonsquare \(J\)-symmetric factorizations for self-adjoint rational matrix functions. Zbl 1059.47012Lerer, L.; Petersen, M. A.; Ran, A. C. M. 1 2004 LU- versus UL-factorization of integral operators with semi-separable kernel. Zbl 1090.47035Petersen, Mark A.; Ran, André C. M. 1 2004 Necessary and sufficient conditions for existence of \(J\)-spectral factorization for para-Hermitian rational matrix functions. Zbl 1202.47018Ran, A. C. M. 7 2003 A new inertia theorem for Stein equations, inertia of invertible Hermitian block Toeplitz matrices and matrix orthogonal polynomials. Zbl 1035.15016Lerer, Leonid; Ran, André C. M. 3 2003 Minimal nonsquare \(J\)-spectral factorization, generalized Bezoutians and common zeros for rational matrix functions. Zbl 1059.47013Petersen, Mark A.; Ran, André C. M. 2 2003 On the nonlinear matrix equation \(X+A^*{\mathcal F}(X)A=Q\): solutions and perturbation theory. Zbl 1086.15013Ran, André C. M.; Reurings, Martine C. B. 39 2002 The symmetric linear matrix equation. Zbl 1002.15015Ran, André C. M.; Reurings, Martine C. B. 17 2002 Invariant subspaces of infinite dimensional Hamiltonians and solutions of the corresponding Riccati equations. Zbl 1044.93014Langer, H.; Ran, A. C. M.; van de Rotten, B. A. 12 2002 Polar decompositions and related classes of operators in spaces \(\Pi_\kappa\). Zbl 1045.47034van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba 4 2002 A class of robustness problems in matrix analysis. Zbl 1029.15005Ran, André C. M.; Rodman, Leiba 3 2002 Minimal nonsquare spectral factors. Zbl 1020.47017Petersen, M. A.; Ran, A. C. M. 2 2002 Nonsquare spectral factors via factorizations of a unitary function. Zbl 1020.47018Petersen, M. A.; Ran, A. C. M. 2 2002 On an iteration method for solving a class of nonlinear matrix equations. Zbl 1002.65061El-Sayed, Salah M.; Ran, André C. M. 76 2001 Minimal square spectral factors via triples. Zbl 0994.47022Petersen, M. A.; Ran, A. C. M. 6 2001 \(J\)-symmetric factorizations and algebraic Riccati equations. Zbl 0994.47021Karelin, I.; Lerer, L.; Ran, A. C. M. 4 2001 Real Hamiltonian polar decompositions. Zbl 0982.15012van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba 3 2001 Stability of pseudospectral factorizations. Zbl 0987.47025Ran, André; Rodman, Leiba; Temme, Dirk 2 2001 Stability of stationary transport equations with accretive collision operators. Zbl 0967.47033van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba 2 2000 Stability of polar decompositions. Zbl 0963.15012van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba 1 2000 Stability of self-adjoint square roots and polar decompositions in indefinite scalar product spaces. Zbl 0954.15008van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba 8 1999 Norm bounds for Volterra integral operators and time-varying linear systems with finite horizon. Zbl 0915.47011Kaashoek, M. A.; Ran, A. C. M. 1 1998 Wiener-Hopf factorization of transfer functions of extended Pritchard-Salamon realizations. Zbl 0932.47016Kaashoek, M. A.; van der Mee, C. V. M.; Ran, A. C. M. 1 1998 Classes of plus matrices in finite dimensional indefinite scalar product spaces. Zbl 0911.47030van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, L. 1 1998 Polar decompositions in finite dimensional indefinite scalar product spaces: General theory. Zbl 0881.15013Bolshakov, Yuri; van der Mee, Cornelis V. M.; Ran, André C. M.; Reichstein, Boris; Rodman, Leiba 23 1997 Extension of isometries in finite-dimensional indefinite scalar product spaces and polar decompositions. Zbl 0874.15022Bolshakov, Yuri; van der Mee, Cornelis V. M.; Ran, André C. M.; Reichstein, Boris; Rodman, Leiba 11 1997 Nonnegative solutions of algebraic Riccati equations. Zbl 0881.15017Langer, H.; Ran, A. C. M.; Temme, D. 6 1997 On self-adjoint matrix polynomials with constant signature. Zbl 0882.15021Ran, André; Zizler, Peter 5 1997 \(J\)-pseudo-spectral and \(J\)-inner-pseudo-outer factorizations for matrix polynomials. Zbl 0896.47015Lerer, L.; Ran, A. C. M. 3 1997 Errata for: Polar decompositions in finite dimensional indefinite scalar product spaces: Special cases and applications. Zbl 0897.15005Bolshakov, Yuri; van der Mee, Cornelis V. M.; Ran, André C. M.; Reichstein, Boris; Rodman, Leiba 3 1997 Rate of stability of solutions of matrix polynomial and quadratic equations. Zbl 0901.15007Ran, André C. M.; Rodman, Leiba 2 1997 Weighting operator patterns of Pritchard-Salamon realizations. Zbl 0891.93021Kaashoek, M. A.; van der Mee, Cornelis V. M.; Ran, A. C. M. 1 1997 Polar decompositions in finite dimensional indefinite scalar product spaces: Special cases and applications. Zbl 0861.15012Bolshakov, Y.; van der Mee, Cornelis V. M.; Ran, A. C. M.; Reichstein, B.; Rodman, Leiba 14 1996 Minimal square spectral factors. Zbl 0877.93027Ran, André C. M. 4 1995 Factorization of matrix polynomials with symmetries. Zbl 0810.15005Ran, André C. M.; Rodman, Leiba 10 1994 Dissipative matrices and invariant maximal semidefinite subspaces. Zbl 0813.15023Ran, A. C. M.; Temme, D. 8 1994 ...and 46 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,297 Authors 90 Ran, André C. M. 51 Rodman, Leiba X. 47 Karapınar, Erdal 42 Nashine, Hemant Kumar 41 Abbas, Mujahid 38 Radenovic, Stojan 36 Samet, Bessem 35 Imdad, Mohammad 32 Aydi, Hassen Mohamed 27 Kumam, Poom 26 Kadelburg, Zoran 24 Hussain, Nawab 24 Khamsi, Mohamed Amine 21 Ball, Joseph Anthony 21 Kaashoek, Marinus Adriaan 21 Parvaneh, Vahid 20 Alfuraidan, Monther Rashed 20 Choudhury, Binayak Samadder 20 Sintunavarat, Wutiphol 16 Shukla, Satish 15 Groenewald, Gilbert J. 15 Roldán-López-de-Hierro, Antonio-Francisco 15 Shatanawi, Wasfi A. 14 Agarwal, Ravi P. 14 Mehl, Christian 14 Nazir, Talat 14 Petruşel, Adrian 14 Vetro, Calogero 13 Gohberg, Israel 13 Hasanov, Vejdi Ismailov 13 Shahzad, Naseer 12 Cho, Yeol Je 12 Duan, Xuefeng 11 Alpay, Daniel Aron 11 El-Sayed, Salah M. 11 Mehrmann, Volker 11 Metiya, Nikhilesh 11 Saadati, Reza 11 Shoaib, Abdullah 11 Van der Mee, Cornelis Victor Maria 10 Alam, Aftab 10 Altun, Ishak 10 Beg, Ismat 10 Berzig, Maher 10 Ćirić, Ljubomir B. 10 Curtain, Ruth Frances 10 Eshaghi Gordji, Madjid 10 Nieto Roig, Juan Jose 10 Salimi, Peyman 10 ter Horst, Sanne 10 Turinici, Mihai 9 Arshad, Muhammad 9 de la Sen, Manuel 9 Frazho, Arthur E. 9 Janse van Rensburg, Dawie B. 9 Jleli, Mohamed Boussairi 9 Liao, Anping 9 Mustafa, Zead 9 Petruşel, Gabriela 9 Vetro, Francesca 9 Wojtylak, Michał 8 Ansari, Arslan Hojat 8 Chandok, Sumit 8 Ferrante, Augusto 8 Ivanov, Ivan Ganchev 8 Kalyani, Karusala 8 Lancaster, Peter 8 Park, Choonkil 8 Prasad, Gopi 8 Rakočević, Vladimir 8 Rodríguez-López, Rosana 8 Roshan, Jamal Rezaei 8 Sadarangani, Kishin B. 8 Uddin, Izhar 7 Bachar, Mostafa 7 Berinde, Vasile 7 Chen, Alatancang 7 Chifu, Cristian 7 Harjani, Jackie 7 Khan, Qamrul Haq 7 Kutbi, Marwan Amin 7 Ma, Changfeng 7 Meng, Jie 7 Nazam, Muhammad 7 Oară, Cristian 7 Sawangsup, Kanokwan 7 Trunk, Carsten 7 Wimmer, Harald K. 6 Bin Dehaish, Buthinah Abdullatif 6 Charoensawan, Phakdi 6 Dopico, Froilán M. 6 Gopal, Dhananjay 6 Gubran, Rqeeb 6 Iftime, Orest V. 6 Kim, Hyunmin 6 Kim, Jong Kyu 6 Petersen, Mark Adam 6 Suantai, Suthep 6 Vaezpour, Seyyed Mansour 6 van Schuppen, Jan H. ...and 1,197 more Authors all top 5 Cited in 235 Serials 178 Linear Algebra and its Applications 149 Fixed Point Theory and Applications 42 Integral Equations and Operator Theory 42 Journal of Inequalities and Applications 41 Applied Mathematics and Computation 41 Abstract and Applied Analysis 38 Journal of Fixed Point Theory and Applications 36 Systems & Control Letters 32 Automatica 28 Linear and Multilinear Algebra 26 Filomat 25 Journal of Function Spaces 24 Nonlinear Analysis. 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