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Author ID: ran.andre-c-m Recent zbMATH articles by "Ran, André C. M."
Published as: Ran, André C. M.; Ran, A. C. M.; Ran, André; Ran, Andre; Ran, Andre C. M.
Homepage: http://www.few.vu.nl/~ran/
External Links: MGP · ResearchGate · dblp
all top 5

Co-Authors

8 single-authored
59 Rodman, Leiba X.
29 Kaashoek, Marinus Adriaan
19 Groenewald, Gilbert J.
15 Van der Mee, Cornelis Victor Maria
14 ter Horst, Sanne
13 Mehl, Christian
12 Bart, Harm
11 Gohberg, Israel
11 van Schuppen, Jan H.
9 Ball, Joseph Anthony
8 Frazho, Arthur E.
7 Lerer, Leonid Efimovich
7 Petersen, Mark Adam
6 Jaftha, Jacob J.
6 Mehrmann, Volker
6 van Straaten, Madelein
6 Wojtylak, Michał
5 Reurings, Martine C. B.
5 van Schagen, Frederik
4 Bol’shakov, Yu. I.
4 Fourie, Jan H.
4 Kempker, Pia L.
4 Messerschmidt, Miek
4 Reichstein, Boris
4 Theron, Frieda
3 Böttcher, Albrecht
3 Brualdi, Richard Anthony
3 Dym, Harry
3 Rabe, Hermann
3 Temme, Dirk
3 Woerdeman, Hugo Jan
2 Alpay, Daniel Aron
2 Heij, Christiaan
2 Janse van Rensburg, Dawie B.
2 Lancaster, Peter
2 Langer, Heinz
2 Prather, Carl L.
2 Roelands, Mark
2 Roozemond, L.
2 Spitkovsky, Ilya Matvey
2 te Riele, Herman
2 van Rensburg, D. B. Janse
1 Anehila, B.
1 Batzke, Leonhard
1 Bierkens, Joris
1 Bolotnikov, Vladimir
1 Boutin, Olivier
1 Brandts, Jan H.
1 Bubák, Pavel
1 Cheng, Aijie
1 Cohen, Nir
1 Curtain, Ruth Frances
1 Dijksma, Aad
1 Ehrhardt, Torsten
1 Eisner, Tanja
1 El-Sayed, Salah M.
1 Elsner, Ludwig F.
1 Engwerda, Jacob Christiaan
1 Goosen, Gerrit
1 Groenwald, G. J.
1 Jacob, Birgit
1 Karelin, Irina I.
1 Kes, Jan S.
1 Komenda, Jan
1 Lin, HaiXiang
1 Margulis, Igor
1 Masopust, Tomáš
1 Pambakian, Nicola
1 Pik, Derk
1 Rijkeboer, Arie L.
1 Rubenstein, Steve
1 Rubin, Arthur Leonard
1 Rubin, Jonathan E.
1 Serény, András
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 Wang, Zhen
1 Wiegerinck, Jan J. O. O.
1 Wortel, Marten
1 Xi, Kaihua
1 Zhang, Chenghui
1 Zizler, Peter
1 Zwart, Hans J.

Publications by Year

Citations contained in zbMATH Open

154 Publications have been cited 2,177 times in 1,501 Documents Cited by Year
A fixed point theorem in partially ordered sets and some applications to matrix equations. Zbl 1060.47056
Ran, André C. M.; Reurings, Martine C. B.
828
2004
Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation \(X+A^*X^{-1}A=Q\). Zbl 0778.15008
Engwerda, Jacob C.; Ran, André C. M.; Rijkeboer, Arie L.
113
1993
On an iteration method for solving a class of nonlinear matrix equations. Zbl 1002.65061
El-Sayed, Salah M.; Ran, André C. M.
76
2001
Topics in interpolation theory of rational matrix-valued functions. Zbl 0651.47008
61
1988
Existence and comparison theorems for algebraic Riccati equations for continuous- and discrete-time systems. Zbl 0637.15008
Ran, A. C. M.; Vreugdenhil, R.
59
1988
On the nonlinear matrix equation \(X+A^*{\mathcal F}(X)A=Q\): solutions and perturbation theory. Zbl 1086.15013
Ran, André C. M.; Reurings, Martine C. B.
55
2002
Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations. Zbl 1223.15015
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
45
2011
Factorization of matrix and operator functions. The state space method. Zbl 1149.47001
Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M.
43
2008
A state space approach to canonical factorization with applications. Zbl 1203.47001
Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M.
36
2010
Constructive methods of Wiener-Hopf factorization. Zbl 0612.47025
35
1986
Minimal factorization of selfadjoint rational matrix functions. Zbl 0492.47013
Ran, A. C. M.
33
1982
Optimal Hankel norm model reductions and Wiener-Hopf factorization. I: The canonical case. Zbl 0623.93016
Ball, Joseph A.; Ran, André C. M.
31
1987
Stability of invariant maximal semidefinite subspaces. I. Zbl 0561.15001
Ran, A. C. M.; Rodman, Leiba
28
1984
Polar decompositions in finite dimensional indefinite scalar product spaces: General theory. Zbl 0881.15013
Bolshakov, Yuri; van der Mee, Cornelis V. M.; Ran, André C. M.; Reichstein, Boris; Rodman, Leiba
24
1997
Linear quadratic problems with indefinite cost for discrete time systems. Zbl 0786.93043
Ran, A. C. M.; Trentelman, H. L.
23
1993
Perturbation theory of selfadjoint matrices and sign characteristics under generic structured rank one perturbations. Zbl 1237.15036
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
23
2012
Jordan forms of real and complex matrices under rank one perturbations. Zbl 1281.15012
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
22
2013
A nonlinear matrix equation connected to interpolation theory. Zbl 1039.15007
Ran, André C. M.; Reurings, Martine C. B.
21
2004
Eigenvalue perturbation theory of symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations. Zbl 1291.15061
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
20
2014
Hermitian solutions of the discrete algebraic Riccati equation. Zbl 0598.15011
Lancaster, Peter; Ran, A. C. M.; Rodman, Leiba
20
1986
The symmetric linear matrix equation. Zbl 1002.15015
Ran, André C. M.; Reurings, Martine C. B.
19
2002
Eigenvalues of rank one perturbations of unstructured matrices. Zbl 1247.15009
Ran, André C. M.; Wojtylak, Michał
18
2012
Schur complements and state space realizations. Zbl 1083.47016
Bart, H.; Gohberg, I.; Kaashoek, M. A.; Ran, A. C. M.
17
2005
Global inverse spectral problems for rational matrix functions. Zbl 0617.15017
Ball, Joseph A.; Ran, André C. M.
16
1987
Local inverse spectral problems for rational matrix functions. Zbl 0621.47022
Ball, Joseph A.; Ran, André C. M.
16
1987
Polar decompositions in finite dimensional indefinite scalar product spaces: Special cases and applications. Zbl 0861.15012
Bolshakov, Y.; van der Mee, Cornelis V. M.; Ran, A. C. M.; Reichstein, B.; Rodman, Leiba
14
1996
Extension of isometries in finite-dimensional indefinite scalar product spaces and polar decompositions. Zbl 0874.15022
Bolshakov, Yuri; van der Mee, Cornelis V. M.; Ran, André C. M.; Reichstein, Boris; Rodman, Leiba
14
1997
Stability of invariant Lagrangian subspaces. I. Zbl 0658.47010
Ran, André C. M.; Rodman, Leiba
14
1988
Introduction to mathematical systems theory. Linear systems, identification and control. With CD-ROM. Zbl 1127.93004
Heij, Christiaan; Ran, André; van Schagen, Freek
14
2007
Stable invariant Lagrangian subspaces: Factorization of symmetric rational matrix functions and other applications. Zbl 0706.15029
Ran, André C. M.; Rodman, Leiba
13
1990
Invariant subspaces of infinite dimensional Hamiltonians and solutions of the corresponding Riccati equations. Zbl 1044.93014
Langer, H.; Ran, A. C. M.; van de Rotten, B. A.
12
2002
A perturbation analysis for nonlinear selfadjoint operator equations. Zbl 1105.47053
Ran, A. C. M.; Reurings, M. C. B.; Rodman, L.
12
2006
The non-symmetric discrete algebraic Riccati equation and canonical factorization of rational matrix functions on the unit circle. Zbl 1210.47045
Frazho, A. E.; Kaashoek, M. A.; Ran, A. C. M.
12
2010
Factorizations of and extensions to J-unitary rational matrix functions on the unit circle. Zbl 0792.47012
Gohberg, I.; Kaashoek, M. A.; Ran, A. C. M.
11
1992
Factorization of matrix polynomials with symmetries. Zbl 0810.15005
Ran, André C. M.; Rodman, Leiba
11
1994
Explicit formulas for Hankel norm approximations of infinite-dimensional systems. Zbl 0681.47008
Curtain, Ruth F.; Ran, A. C. M.
11
1989
Stability of invariant Lagrangian subspaces. II. Zbl 0691.47006
Ran, A. C. M.; Rodman, Leiba
11
1989
Regular rational matrix functions with prescribed null and pole data except at infinity. Zbl 0721.15015
Gohberg, I.; Kaashoek, M. A.; Ran, A. C. M.
11
1990
Stability of invariant maximal semidefinite subspaces. II. Applications: Self-adjoint rational matrix functions, algebraic Riccati equations. Zbl 0593.15008
Ran, A. C. M.; Rodman, Leiba
11
1984
Generic rank-\(k\) perturbations of structured matrices. Zbl 1371.15013
Batzke, Leonhard; Mehl, Christian; Ran, André C. M.; Rodman, Leiba
11
2016
Equivalence after extension and matricial coupling coincide with Schur coupling, on separable Hilbert spaces. Zbl 1297.47005
ter Horst, Sanne; Ran, André C. M.
10
2013
Stable hermitian solutions of discrete algebraic Riccati equations. Zbl 0771.93059
Ran, André C. M.; Rodman, Leiba
9
1992
Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices. Zbl 1163.15030
Mehl, 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 0516.47022
Ran, A. C. M.; Rodman, Leiba
9
1983
Control of distributed systems: tutorial and overview. Zbl 1259.93018
van Schuppen, Jan H.; Boutin, Olivier; Kempker, Pia L.; Komenda, Jan; Masopust, Tomáš; Pambakian, Nicola; Ran, André C. M.
9
2011
Dissipative matrices and invariant maximal semidefinite subspaces. Zbl 0813.15023
Ran, A. C. M.; Temme, D.
8
1994
Stability of self-adjoint square roots and polar decompositions in indefinite scalar product spaces. Zbl 0954.15008
van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba
8
1999
An existence and monotonicity theorem for the discrete algebraic matrix Riccati equation. Zbl 0626.15005
Lancaster, Peter; Ran, A. C. M.; Rodman, Leiba
8
1987
Hankel norm approximation of a rational matrix function in terms of its realization. Zbl 0612.47015
Ball, Joseph A.; Ran, André C. M.
8
1986
Basic classes of matrices with respect to quaternionic indefinite inner product spaces. Zbl 1102.15014
Alpay, D.; Ran, A. C. M.; Rodman, L.
8
2006
Polar decompositions of normal operators in indefinite inner product spaces. Zbl 1108.47034
Mehl, Christian; Ran, André C. M.; Rodman, Leiba
8
2006
Partial pole and zero displacement by cascade connection. Zbl 0677.93032
Gohberg, I.; Kaashoek, M. A.; Ran, A. C. M.
8
1989
Eigenvalue perturbation theory of structured real matrices and their sign characteristics under generic structured rank-one perturbations. Zbl 1335.15013
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
8
2016
Semidefinite invariant subspaces: degenerate inner products. Zbl 1066.15024
Mehl, Christian; Ran, André C. M.; Rodman, Leiba
7
2004
Necessary and sufficient conditions for existence of \(J\)-spectral factorization for para-Hermitian rational matrix functions. Zbl 1202.47018
Ran, A. C. M.
7
2003
A singular M-matrix perturbed by a nonnegative rank one matrix has positive principal minors; is it D-stable? Zbl 1291.15017
Bierkens, Joris; Ran, André
7
2014
Rank one perturbations of \(H\)-positive real matrices. Zbl 1283.15102
Fourie, J. H.; Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M.
7
2013
Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation. I: The least squares solution. Zbl 1293.47027
Frazho, A. E.; Kaashoek, M. A.; Ran, A. C. M.
7
2011
On symmetric factorizations of rational matrix functions. Zbl 0731.15018
Ran, André C. M.; Rodman, Leiba
7
1991
Matrix polynomials with prescribed zero structure in the finite complex plane. Zbl 0736.15010
Gohberg, I.; Kaashoek, M. A.; Ran, A. C. M.
6
1991
Hyponormal matrices and semidefinite invariant subspaces in indefinite inner products. Zbl 1066.15030
Mehl, Christian; Ran, André C. M.; Rodman, Leiba
6
2004
Nonnegative solutions of algebraic Riccati equations. Zbl 0881.15017
Langer, H.; Ran, A. C. M.; Temme, D.
6
1997
Equivalence after extension for compact operators on Banach spaces. Zbl 1316.47023
ter Horst, S.; Messerschmidt, M.; Ran, A. C. M.
6
2015
A Toeplitz-like operator with rational symbol having poles on the unit circle. I: Fredholm properties. Zbl 1476.47025
Groenewald, G. J.; ter Horst, S.; Jaftha, J.; Ran, A. C. M.
6
2018
Minimal square spectral factors via triples. Zbl 0994.47022
Petersen, M. A.; Ran, A. C. M.
6
2001
Controllability and observability of coordinated linear systems. Zbl 1238.93014
Kempker, Pia L.; Ran, André C. M.; van Schuppen, Jan H.
6
2012
Errata for: Polar decompositions in finite dimensional indefinite scalar product spaces: Special cases and applications. Zbl 0897.15005
Bolshakov, Yuri; van der Mee, Cornelis V. M.; Ran, André C. M.; Reichstein, Boris; Rodman, Leiba
5
1997
A new inertia theorem for Stein equations, inertia of invertible Hermitian block Toeplitz matrices and matrix orthogonal polynomials. Zbl 1035.15016
Lerer, Leonid; Ran, André C. M.
5
2003
On self-adjoint matrix polynomials with constant signature. Zbl 0882.15021
Ran, André; Zizler, Peter
5
1997
Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation. II: Description of all solutions. Zbl 1257.47032
Frazho, A. E.; Kaashoek, M. A.; Ran, A. C. M.
5
2012
Stability index of invariant subspaces of matrices. Zbl 0798.15006
Ran, André C. M.; Rodman, Leiba; Rubin, Arthur L.
5
1993
Wiener-Hopf indices of unitary functions on the unit circle in terms of realizations and related results on Toeplitz operators. Zbl 06722466
Groenewald, G. J.; Kaashoek, M. A.; Ran, A. C. M.
5
2017
\(J\)-symmetric factorizations and algebraic Riccati equations. Zbl 0994.47021
Karelin, I.; Lerer, L.; Ran, A. C. M.
5
2001
Semidefinite perturbations of analytic Hermitian matrix functions. Zbl 0757.15003
Ran, André C. M.; Rodman, Leiba
4
1989
Direct complements of invariant Lagrangian subspaces and minimal factorizations of skew-symmetric rational matrix functions. Zbl 0780.15009
Ran, André C. M.; Rodman, Leiba; Rubin, Jonathan E.
4
1993
Minimal square spectral factors. Zbl 0877.93027
Ran, André C. M.
4
1995
The rate of convergence of real invariant subspaces. Zbl 0805.65044
Ran, André C. M.; Rodman, Leiba
4
1994
Polar decompositions and related classes of operators in spaces \(\Pi_\kappa\). Zbl 1045.47034
van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba
4
2002
A class of robustness problems in matrix analysis. Zbl 1029.15005
Ran, André C. M.; Rodman, Leiba
4
2002
On pseudo-canonical factorization of rational matrix functions. Zbl 0780.15008
Gohberg, I.; Ran, A. C. M.
4
1993
Analysis of spectral points of the operators \(T^{[*]} T\) and \(TT ^{[*]}\) in a Krein space. Zbl 1189.47037
Ran, André; Wojtylak, Michał
4
2009
Stability of solutions of the operator differential equation in transport theory. Zbl 0584.47049
Ran, A. C. M.; Rodman, Leiba
4
1985
Optimal Hankel norm model reductions and Wiener-Hopf factorization II: The non-canonical case. Zbl 0621.47021
Ball, Joseph A.; Ran, André C. M.
4
1987
On parameter dependence of solutions of algebraic Riccati equations. Zbl 0658.93058
Ran, André C. M.; Rodman, Leiba
4
1988
A Toeplitz-like operator with rational symbol having Poles on the unit circle. III: The adjoint. Zbl 07123544
Groenewald, G. J.; ter Horst, S.; Jaftha, J.; Ran, A. C. M.
4
2019
Equivalence after extension and Schur coupling coincide for inessential operators. Zbl 1436.47003
ter Horst, S.; Messerschmidt, M.; Ran, A. C. M.; Roelands, M.; Wortel, M.
4
2018
Local definitizability of \(T^{[\ast]}T\) and \(TT^{[\ast]}\). Zbl 1272.47006
Philipp, Friedrich; Ran, André C. M.; Wojtylak, Michał
4
2011
LQ control for coordinated linear systems. Zbl 1360.93008
Kempker, Pia L.; Ran, André C. M.; van Schuppen, Jan H.
4
2014
On stability of invariant subspaces of matrices. Zbl 0736.15014
Ran, André C. M.; Rodman, Leiba
3
1990
Generalized canonical factorization of matrix and operator functions with definite Hermitian part. Zbl 0792.47017
Ran, André C. M.; Rodman, Leiba
3
1992
Stability of pseudospectral factorizations. Zbl 0987.47025
Ran, André; Rodman, Leiba; Temme, Dirk
3
2001
\(J\)-pseudo-spectral and \(J\)-inner-pseudo-outer factorizations for matrix polynomials. Zbl 0896.47015
Lerer, L.; Ran, A. C. M.
3
1997
Minimal nonsquare spectral factors. Zbl 1020.47017
Petersen, M. A.; Ran, A. C. M.
3
2002
Stability of stationary transport equations with accretive collision operators. Zbl 0967.47033
van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba
3
2000
Construction and minimality of coordinated linear systems. Zbl 1287.93005
Kempker, Pia L.; Ran, André C. M.; van Schuppen, Jan H.
3
2014
Real Hamiltonian polar decompositions. Zbl 0982.15012
van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba
3
2001
The algebraic matrix Riccati equation. Zbl 0542.93015
Ran, A. C. M.; Rodman, Leiba
3
1984
Hankel norm approximation of real symmetric rational matrix functions. Zbl 0625.93016
Ball, J. A.; Ran, A. C. M.
3
1987
Inertia theorems based on operator Lyapunov equations. Zbl 1163.47010
Lerer, Leonid; Margulis, Igor; Ran, André C. M.
3
2008
Positive real matrices in indefinite inner product spaces and invariant maximal semidefinite subspaces. Zbl 1120.15024
Fourie, J. H.; Groenewald, G. J.; Ran, A. C. M.
3
2007
Synchronization of power systems under stochastic disturbances. Zbl 1520.93599
Wang, Zhen; Xi, Kaihua; Cheng, Aijie; Lin, Hai Xiang; Ran, André C. M.; van Schuppen, Jan H.; Zhang, Chenghui
1
2023
Wiener-Hopf factorization indices of rational matrix functions with respect to the unit circle in terms of realization. Zbl 1508.30007
Groenewald, G. J.; Kaashoek, M. A.; Ran, A. C. M.
1
2023
Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices. II. Zbl 1495.15016
Ran, André C. M.; Wojtylak, Michał
1
2022
A Toeplitz-like operator with rational matrix symbol having poles on the unit circle: Fredholm properties. Zbl 07300016
Groenewald, G. J.; ter Horst, S.; Jaftha, J.; Ran, A. C. M.
3
2021
\(m\) th roots of \(H\)-selfadjoint matrices. Zbl 1460.15015
Groenewald, 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 1472.15012
Ran, 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 1461.93001
Heij, Christiaan; Ran, André C. M.; van Schagen, Frederik
1
2021
\(m\)th roots of \(H\)-selfadjoint matrices over the quaternions. Zbl 1471.15025
Janse van Rensburg, Dawie B.; Ran, André C. M.; Theron, Frieda; van Straaten, Madelein
1
2021
Equivalence after extension and Schur coupling for relatively regular operators. Zbl 1501.47027
ter Horst, S.; Messerschmidt, M.; Ran, A. C. M.
1
2020
A Toeplitz-like operator with rational symbol having Poles on the unit circle. III: The adjoint. Zbl 07123544
Groenewald, G. J.; ter Horst, S.; Jaftha, J.; Ran, A. C. M.
4
2019
Equivalence after extension and Schur coupling do not coincide on essentially incomparable Banach spaces. Zbl 1508.47026
ter Horst, S.; Messerschmidt, M.; Ran, A. C. M.; Roelands, M.
2
2019
A Toeplitz-like operator with rational symbol having poles on the unit circle. I: Fredholm properties. Zbl 1476.47025
Groenewald, G. J.; ter Horst, S.; Jaftha, J.; Ran, A. C. M.
6
2018
Equivalence after extension and Schur coupling coincide for inessential operators. Zbl 1436.47003
ter Horst, S.; Messerschmidt, M.; Ran, A. C. M.; Roelands, M.; Wortel, M.
4
2018
A note on inner-outer factorization of wide matrix-valued functions. Zbl 1459.47011
Frazho, A. E.; Ran, A. C. M.
2
2018
Canonical form for \(H\)-symplectic matrices. Zbl 1473.15020
Groenewald, 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 06722466
Groenewald, G. J.; Kaashoek, M. A.; Ran, A. C. M.
5
2017
Low rank perturbations of quaternion matrices. Zbl 1386.15059
Mehl, Christian; Ran, Andre C. M.
3
2017
Generic rank-\(k\) perturbations of structured matrices. Zbl 1371.15013
Batzke, Leonhard; Mehl, Christian; Ran, André C. M.; Rodman, Leiba
11
2016
Eigenvalue perturbation theory of structured real matrices and their sign characteristics under generic structured rank-one perturbations. Zbl 1335.15013
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
8
2016
A canonical form for \(H\)-unitary matrices. Zbl 1360.15015
Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M.
3
2016
Equivalence after extension for compact operators on Banach spaces. Zbl 1316.47023
ter Horst, S.; Messerschmidt, M.; Ran, A. C. M.
6
2015
Simple forms and invariant subspaces of \(H\)-expansive matrices. Zbl 1309.15019
Fourie, 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 1291.15061
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
20
2014
A singular M-matrix perturbed by a nonnegative rank one matrix has positive principal minors; is it D-stable? Zbl 1291.15017
Bierkens, Joris; Ran, André
7
2014
LQ control for coordinated linear systems. Zbl 1360.93008
Kempker, Pia L.; Ran, André C. M.; van Schuppen, Jan H.
4
2014
Construction and minimality of coordinated linear systems. Zbl 1287.93005
Kempker, 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 1380.15028
Rabe, Hermann; Ran, André C. M.
2
2014
Real and complex invariant subspaces for matrices which are \(H\)-positive real in an indefinite inner product space. Zbl 1288.15002
Fourie, J. H.; Groenwald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M.
1
2014
A peculiar permutation phenomenon arising from the singular vector entries of a special class of Toeplitz matrices. Zbl 1309.15021
Rabe, H.; Ran, A. C. M.
1
2014
Jordan forms of real and complex matrices under rank one perturbations. Zbl 1281.15012
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
22
2013
Equivalence after extension and matricial coupling coincide with Schur coupling, on separable Hilbert spaces. Zbl 1297.47005
ter Horst, Sanne; Ran, André C. M.
10
2013
Rank one perturbations of \(H\)-positive real matrices. Zbl 1283.15102
Fourie, J. H.; Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M.
7
2013
Rational matrix solutions of a Bezout type equation on the half-plane. Zbl 1293.47028
Frazho, 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 1292.15031
Rabe, Hermann; Ran, André C. M.
2
2013
Preface. Zbl 1298.00102
1
2013
Distributed state estimation with communication of observations. Zbl 1280.93085
Ran, André C. M.; van Schuppen, Jan H.
1
2013
Perturbation theory of selfadjoint matrices and sign characteristics under generic structured rank one perturbations. Zbl 1237.15036
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
23
2012
Eigenvalues of rank one perturbations of unstructured matrices. Zbl 1247.15009
Ran, André C. M.; Wojtylak, Michał
18
2012
Controllability and observability of coordinated linear systems. Zbl 1238.93014
Kempker, 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 1257.47032
Frazho, A. E.; Kaashoek, M. A.; Ran, A. C. M.
5
2012
The discrete algebraic Riccati equation and Hermitian block Toeplitz matrices. Zbl 1252.15018
Lerer, Leonid; Ran, André C. M.
2
2012
The finite section method for infinite Vandermonde matrices. Zbl 1259.15004
Ran, André C. M.; Serény, András
2
2012
Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations. Zbl 1223.15015
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
45
2011
Control of distributed systems: tutorial and overview. Zbl 1259.93018
van Schuppen, Jan H.; Boutin, Olivier; Kempker, Pia L.; Komenda, Jan; Masopust, Tomáš; Pambakian, Nicola; Ran, André C. M.
9
2011
Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation. I: The least squares solution. Zbl 1293.47027
Frazho, A. E.; Kaashoek, M. A.; Ran, A. C. M.
7
2011
Local definitizability of \(T^{[\ast]}T\) and \(TT^{[\ast]}\). Zbl 1272.47006
Philipp, Friedrich; Ran, André C. M.; Wojtylak, Michał
4
2011
A state space approach to canonical factorization with applications. Zbl 1203.47001
Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M.
36
2010
The non-symmetric discrete algebraic Riccati equation and canonical factorization of rational matrix functions on the unit circle. Zbl 1210.47045
Frazho, A. E.; Kaashoek, M. A.; Ran, A. C. M.
12
2010
The pair of operators \(T^{[*]}T\) and \(TT^{[*]}\): \(J\)-dilations and canonical forms. Zbl 1219.47057
Ran, André C. M.; Wojtylak, Michał
2
2010
Ranges of Sylvester maps and a minimal rank problem. Zbl 1191.15002
Ran, Andre C. M.; Rodman, Leiba X.
1
2010
Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices. Zbl 1163.15030
Mehl, 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 1189.47037
Ran, André; Wojtylak, Michał
4
2009
Factorization of matrix and operator functions. The state space method. Zbl 1149.47001
Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M.
43
2008
Inertia theorems based on operator Lyapunov equations. Zbl 1163.47010
Lerer, Leonid; Margulis, Igor; Ran, André C. M.
3
2008
On the index of conditional stability of stable invariant Lagrangian subspaces. Zbl 1166.15016
Ran, André C. M.; Rodman, Leiba
1
2008
Introduction to mathematical systems theory. Linear systems, identification and control. With CD-ROM. Zbl 1127.93004
Heij, Christiaan; Ran, André; van Schagen, Freek
14
2007
Positive real matrices in indefinite inner product spaces and invariant maximal semidefinite subspaces. Zbl 1120.15024
Fourie, 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 1111.15026
Mehl, Christian; Ran, André C. M.; Rodman, Leiba
2
2007
On the relation between \(XX^{[*]}\) and \(X^{[*]}X\) in an indefinite inner product space. Zbl 1154.47032
Kes, Jan S.; Ran, André C. M.
1
2007
A perturbation analysis for nonlinear selfadjoint operator equations. Zbl 1105.47053
Ran, A. C. M.; Reurings, M. C. B.; Rodman, L.
12
2006
Basic classes of matrices with respect to quaternionic indefinite inner product spaces. Zbl 1102.15014
Alpay, D.; Ran, A. C. M.; Rodman, L.
8
2006
Polar decompositions of normal operators in indefinite inner product spaces. Zbl 1108.47034
Mehl, Christian; Ran, André C. M.; Rodman, Leiba
8
2006
Schur complements and state space realizations. Zbl 1083.47016
Bart, H.; Gohberg, I.; Kaashoek, M. A.; Ran, A. C. M.
17
2005
Approximation of solutions of Riccati equations. Zbl 1139.93016
Bubák, Pavel; van der Mee, Cornelis V. M.; Ran, André C. M.
2
2005
Characterization of integral operators with semi-separable kernels with symmetries. Zbl 1080.47039
Groenewald, 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 1060.47056
Ran, André C. M.; Reurings, Martine C. B.
828
2004
A nonlinear matrix equation connected to interpolation theory. Zbl 1039.15007
Ran, André C. M.; Reurings, Martine C. B.
21
2004
Semidefinite invariant subspaces: degenerate inner products. Zbl 1066.15024
Mehl, Christian; Ran, André C. M.; Rodman, Leiba
7
2004
Hyponormal matrices and semidefinite invariant subspaces in indefinite inner products. Zbl 1066.15030
Mehl, Christian; Ran, André C. M.; Rodman, Leiba
6
2004
Perturbation results for exponentially dichotomous operators on general Banach spaces. Zbl 1069.47014
Ran, André C. M.; van der Mee, Cornelis
2
2004
LU- versus UL-factorization of integral operators with semi-separable kernel. Zbl 1090.47035
Petersen, Mark A.; Ran, André C. M.
1
2004
Existence of minimal nonsquare \(J\)-symmetric factorizations for self-adjoint rational matrix functions. Zbl 1059.47012
Lerer, L.; Petersen, M. A.; Ran, A. C. M.
1
2004
Necessary and sufficient conditions for existence of \(J\)-spectral factorization for para-Hermitian rational matrix functions. Zbl 1202.47018
Ran, A. C. M.
7
2003
A new inertia theorem for Stein equations, inertia of invertible Hermitian block Toeplitz matrices and matrix orthogonal polynomials. Zbl 1035.15016
Lerer, Leonid; Ran, André C. M.
5
2003
Minimal nonsquare \(J\)-spectral factorization, generalized Bezoutians and common zeros for rational matrix functions. Zbl 1059.47013
Petersen, 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 1086.15013
Ran, André C. M.; Reurings, Martine C. B.
55
2002
The symmetric linear matrix equation. Zbl 1002.15015
Ran, André C. M.; Reurings, Martine C. B.
19
2002
Invariant subspaces of infinite dimensional Hamiltonians and solutions of the corresponding Riccati equations. Zbl 1044.93014
Langer, H.; Ran, A. C. M.; van de Rotten, B. A.
12
2002
Polar decompositions and related classes of operators in spaces \(\Pi_\kappa\). Zbl 1045.47034
van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba
4
2002
A class of robustness problems in matrix analysis. Zbl 1029.15005
Ran, André C. M.; Rodman, Leiba
4
2002
Minimal nonsquare spectral factors. Zbl 1020.47017
Petersen, M. A.; Ran, A. C. M.
3
2002
Nonsquare spectral factors via factorizations of a unitary function. Zbl 1020.47018
Petersen, M. A.; Ran, A. C. M.
2
2002
On an iteration method for solving a class of nonlinear matrix equations. Zbl 1002.65061
El-Sayed, Salah M.; Ran, André C. M.
76
2001
Minimal square spectral factors via triples. Zbl 0994.47022
Petersen, M. A.; Ran, A. C. M.
6
2001
\(J\)-symmetric factorizations and algebraic Riccati equations. Zbl 0994.47021
Karelin, I.; Lerer, L.; Ran, A. C. M.
5
2001
Stability of pseudospectral factorizations. Zbl 0987.47025
Ran, André; Rodman, Leiba; Temme, Dirk
3
2001
Real Hamiltonian polar decompositions. Zbl 0982.15012
van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba
3
2001
Recent advances in operator theory. The Israel Gohberg anniversary volume. Proceedings of the international workshop on operator theory and its applications, IWOTA-98, Groningen, Netherlands, June 30–July 3, 1998. Zbl 0966.00029
1
2001
Stability of stationary transport equations with accretive collision operators. Zbl 0967.47033
van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba
3
2000
Stability of polar decompositions. Zbl 0963.15012
van 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 0954.15008
van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba
8
1999
Wiener-Hopf factorization of transfer functions of extended Pritchard-Salamon realizations. Zbl 0932.47016
Kaashoek, 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 0911.47030
van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, L.
1
1998
Norm bounds for Volterra integral operators and time-varying linear systems with finite horizon. Zbl 0915.47011
Kaashoek, M. A.; Ran, A. C. M.
1
1998
Polar decompositions in finite dimensional indefinite scalar product spaces: General theory. Zbl 0881.15013
Bolshakov, Yuri; van der Mee, Cornelis V. M.; Ran, André C. M.; Reichstein, Boris; Rodman, Leiba
24
1997
Extension of isometries in finite-dimensional indefinite scalar product spaces and polar decompositions. Zbl 0874.15022
Bolshakov, Yuri; van der Mee, Cornelis V. M.; Ran, André C. M.; Reichstein, Boris; Rodman, Leiba
14
1997
Nonnegative solutions of algebraic Riccati equations. Zbl 0881.15017
Langer, H.; Ran, A. C. M.; Temme, D.
6
1997
Errata for: Polar decompositions in finite dimensional indefinite scalar product spaces: Special cases and applications. Zbl 0897.15005
Bolshakov, Yuri; van der Mee, Cornelis V. M.; Ran, André C. M.; Reichstein, Boris; Rodman, Leiba
5
1997
On self-adjoint matrix polynomials with constant signature. Zbl 0882.15021
Ran, André; Zizler, Peter
5
1997
\(J\)-pseudo-spectral and \(J\)-inner-pseudo-outer factorizations for matrix polynomials. Zbl 0896.47015
Lerer, L.; Ran, A. C. M.
3
1997
...and 54 more Documents
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Cited by 1,435 Authors

99 Ran, André C. M.
54 Rodman, Leiba X.
47 Karapınar, Erdal
43 Nashine, Hemant Kumar
41 Abbas, Mujahid
39 Radenovic, Stojan
36 Samet, Bessem
35 Imdad, Mohammad
34 Aydi, Hassen Mohamed
27 Kumam, Poom
26 Kadelburg, Zoran
25 Kaashoek, Marinus Adriaan
25 Khamsi, Mohamed Amine
24 Hussain, Nawab
23 Ball, Joseph Anthony
21 Choudhury, Binayak Samadder
21 Parvaneh, Vahid
20 Alfuraidan, Monther Rashed
20 Sintunavarat, Wutiphol
19 Shukla, Satish
18 Groenewald, Gilbert J.
18 Shatanawi, Wasfi A.
16 Mehl, Christian
16 ter Horst, Sanne
15 Agarwal, Ravi P.
15 Nazir, Talat
15 Roldán-López-de-Hierro, Antonio-Francisco
15 Vetro, Calogero
14 Petruşel, Adrian
13 Alpay, Daniel Aron
13 Gohberg, Israel
13 Mehrmann, Volker
13 Shahzad, Naseer
13 Shoaib, Abdullah
12 Cho, Yeol Je
12 Duan, Xuefeng
12 Metiya, Nikhilesh
12 Turinici, Mihai
11 El-Sayed, Salah M.
11 Frazho, Arthur E.
11 Saadati, Reza
11 Van der Mee, Cornelis Victor Maria
10 Alam, Aftab
10 Altun, Ishak
10 Arshad, Muhammad
10 Beg, Ismat
10 Berzig, Maher
10 Ćirić, Ljubomir B.
10 Curtain, Ruth Frances
10 de la Sen, Manuel
10 Eshaghi Gordji, Madjid
10 Nazam, Muhammad
10 Nieto Roig, Juan Jose
10 Salimi, Peyman
10 Vetro, Francesca
9 Jleli, Mohamed Boussairi
9 Khan, Qamrul Haq
9 Liao, Anping
9 Mustafa, Zead
9 Petruşel, Gabriela
9 Prasad, Gopi
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 Rakočević, Vladimir
8 Rodríguez-López, Rosana
8 Roshan, Jamal Rezaei
8 Sadarangani, Kishin B.
8 Uddin, Izhar
7 Bachar, Mostafa
7 Berinde, Vasile
7 Bin Dehaish, Buthinah Abdullatif
7 Chen, Alatancang
7 Chifu, Cristian
7 Harjani, Jackie
7 Hasanov, Vejdi Ismailov
7 Kutbi, Marwan Amin
7 Lewkowicz, Izchak
7 Ma, Changfeng
7 Meng, Jie
7 Oară, Cristian
7 Sawangsup, Kanokwan
7 Trunk, Carsten
7 Wimmer, Harald K.
6 Charoensawan, Phakdi
6 Dimri, Ramesh Chandra
6 Dopico, Froilán M.
6 Gopal, Dhananjay
6 Gubran, Rqeeb
6 Helton, John William
6 Iftime, Orest V.
6 Kim, Hyunmin
6 Kim, Jong Kyu
6 Lerer, Leonid Efimovich
6 Petersen, Mark Adam
...and 1,335 more Authors
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Cited in 264 Serials

192 Linear Algebra and its Applications
149 Fixed Point Theory and Applications
46 Journal of Inequalities and Applications
43 Integral Equations and Operator Theory
41 Applied Mathematics and Computation
41 Abstract and Applied Analysis
38 Journal of Fixed Point Theory and Applications
37 Systems & Control Letters
36 Automatica
29 Linear and Multilinear Algebra
26 Filomat
25 Journal of Function Spaces
24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 Computers & Mathematics with Applications
18 Journal of Mathematical Analysis and Applications
15 International Journal of Control
15 Journal of Computational and Applied Mathematics
14 SIAM Journal on Matrix Analysis and Applications
14 Mathematical Sciences
13 Afrika Matematika
12 The Journal of Analysis
12 Complex Analysis and Operator Theory
11 Mathematical and Computer Modelling
11 Journal of Applied Mathematics
11 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
11 AIMS Mathematics
10 Numerical Functional Analysis and Optimization
10 Journal of Nonlinear Science and Applications
10 Journal of Mathematics
9 Journal of Functional Analysis
9 Rendiconti del Circolo Matemàtico di Palermo. Serie II
9 Journal of the Egyptian Mathematical Society
9 Nonlinear Analysis. Modelling and Control
8 Advances in Difference Equations
8 Sahand Communications in Mathematical Analysis
8 Open Mathematics
7 International Journal of Mathematics and Mathematical Sciences
7 Proceedings of the American Mathematical Society
7 Applied Mathematics Letters
7 MCSS. Mathematics of Control, Signals, and Systems
7 International Journal of Computer Mathematics
7 Indagationes Mathematicae. New Series
7 Mathematical Problems in Engineering
7 Journal of Linear and Topological Algebra
6 Journal of Applied Mathematics and Computing
6 Fixed Point Theory
6 Operators and Matrices
6 Asian-European Journal of Mathematics
5 Journal of the Franklin Institute
5 Mathematische Nachrichten
5 Numerical Algorithms
5 Computational and Applied Mathematics
5 ELA. The Electronic Journal of Linear Algebra
5 Vietnam Journal of Mathematics
5 Nonlinear Functional Analysis and Applications
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Thai Journal of Mathematics
5 Applied General Topology
4 Mathematics of Computation
4 Demonstratio Mathematica
4 Matematički Vesnik
4 SIAM Journal on Control and Optimization
4 European Journal of Control
4 Positivity
4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
4 Symmetry
4 Mathematics
4 Chinese Journal of Mathematics
4 Journal of Operators
4 Transactions of A. Razmadze Mathematical Institute
4 Fixed Point Theory and Algorithms for Sciences and Engineering
3 Journal of Mathematical Physics
3 Rocky Mountain Journal of Mathematics
3 Ukrainian Mathematical Journal
3 Mathematical Systems Theory
3 Quaestiones Mathematicae
3 Results in Mathematics
3 Topology and its Applications
3 Applied Numerical Mathematics
3 Optimization
3 Facta Universitatis. Series Mathematics and Informatics
3 International Journal of Robust and Nonlinear Control
3 Topological Methods in Nonlinear Analysis
3 Georgian Mathematical Journal
3 Discrete Dynamics in Nature and Society
3 Acta Mathematica Sinica. English Series
3 Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics
3 South East Asian Journal of Mathematics and Mathematical Sciences
3 Boletim da Sociedade Paranaense de Matemática. Terceira Série
3 Mediterranean Journal of Mathematics
3 Cubo
3 Boundary Value Problems
3 Optimization Letters
3 Tbilisi Mathematical Journal
3 Bulletin of Mathematical Analysis and Applications
3 Journal of Nonlinear Analysis and Optimization: Theory & Applications
3 Journal of Siberian Federal University. Mathematics & Physics
2 Applicable Analysis
2 Bulletin of the Australian Mathematical Society
2 Mathematical Methods in the Applied Sciences
...and 164 more Serials
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Cited in 48 Fields

684 General topology (54-XX)
546 Operator theory (47-XX)
433 Linear and multilinear algebra; matrix theory (15-XX)
217 Systems theory; control (93-XX)
187 Numerical analysis (65-XX)
80 Ordinary differential equations (34-XX)
62 Functional analysis (46-XX)
51 Integral equations (45-XX)
37 Calculus of variations and optimal control; optimization (49-XX)
30 Functions of a complex variable (30-XX)
25 Combinatorics (05-XX)
20 Partial differential equations (35-XX)
18 Difference and functional equations (39-XX)
17 Order, lattices, ordered algebraic structures (06-XX)
15 Dynamical systems and ergodic theory (37-XX)
13 Approximations and expansions (41-XX)
13 Probability theory and stochastic processes (60-XX)
13 Operations research, mathematical programming (90-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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5 Associative rings and algebras (16-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Computer science (68-XX)
4 Mechanics of particles and systems (70-XX)
4 Relativity and gravitational theory (83-XX)
4 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 Number theory (11-XX)
3 Commutative algebra (13-XX)
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3 Measure and integration (28-XX)
3 Differential geometry (53-XX)
3 Mechanics of deformable solids (74-XX)
2 Mathematical logic and foundations (03-XX)
2 Nonassociative rings and algebras (17-XX)
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2 Special functions (33-XX)
2 Convex and discrete geometry (52-XX)
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1 Field theory and polynomials (12-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)

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