# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 89 Publications since 1989
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#### Co-Authors

 7 single-authored 15 Nechepurenko, Yuri M. 14 Malyshev, Alexander N. 6 Godunov, Sergeĭ Konstantinovich 5 Heuveline, Vincent 4 Hechme, Grace 4 Robbé, Mickaël 4 Touhami, Ahmed 3 Ali, Mouhamad Al Sayed 3 Demyanko, Kirill V. 3 Salam, Ahmed 3 Sidje, Roger B. 2 Arioli, Mario 2 Benner, Peter 2 Crouzeix, Michel 2 Duff, Iain S. 2 El Khoury, Grece 2 Philippe, Bernard J. 2 Pourquier, Olivier 2 Ruiz, Daniel 1 Boiko, Andrey V. 1 Bojko, A. V. 1 Meerbergen, Karl 1 Nasser, Rayan 1 Ovchinnikov, George V. 1 Spence, Alastair 1 Vital, Brigitte
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#### Serials

 8 Journal of Computational and Applied Mathematics 8 Linear Algebra and its Applications 8 ETNA. Electronic Transactions on Numerical Analysis 4 SIAM Journal on Matrix Analysis and Applications 4 Numerical Linear Algebra with Applications 3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 3 BIT 3 Numerische Mathematik 3 Numerical Algorithms 3 SIAM Journal on Scientific Computing 2 Applied Numerical Mathematics 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 ELA. The Electronic Journal of Linear Algebra 1 Computers & Mathematics with Applications 1 Mathematical Notes 1 ACM Transactions on Mathematical Software 1 Numerical Functional Analysis and Optimization 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Computational Mathematics and Modeling 1 Computational Mathematics and Mathematical Physics 1 Reliable Computing 1 Computational Methods in Applied Mathematics 1 Applied Mathematics E-Notes 1 International Journal of Computational and Numerical Analysis and Applications (IJCNAA) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Pure and Applied Mathematics 1 Journal of Numerical Mathematics
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#### Fields

 63 Numerical analysis (65-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 5 Ordinary differential equations (34-XX) 5 Fluid mechanics (76-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH

55 Publications have been cited 289 times in 206 Documents Cited by Year
The Davidson method. Zbl 0803.65042
Crouzeix, M.; Philippe, B.; Sadkane, M.
1994
Block-Arnoldi and Davidson methods for unsymmetric large eigenvalue problems. Zbl 0791.65021
1993
Exact and inexact breakdowns in the block GMRES method. Zbl 1112.65028
2006
A convergence analysis of GMRES and FOM methods for Sylvester equations. Zbl 1005.65030
2002
A block Arnoldi-Chebyshev method for computing the leading eigenpairs of large sparse unsymmetric matrices. Zbl 0791.65020
1993
Inexact inverse subspace iteration with preconditioning applied to non-Hermitian eigenvalue problems. Zbl 1269.65036
Robbé, Mickaël; Sadkane, Miloud; Spence, Alastair
2009
A low-rank Krylov squared Smith method for large-scale discrete-time Lyapunov equations. Zbl 1260.65040
2012
Some new algorithms for the spectral dichotomy methods. Zbl 1035.65032
2003
Acceleration of inverse subspace iteration with Newton’s method. Zbl 1291.65118
El Khoury, G.; Nechepurenko, Yu. M.; Sadkane, M.
2014
A low-rank approximation for computing the matrix exponential norm. Zbl 1298.65085
2011
Spectral portrait for non-Hermitian large sparse matrices. Zbl 0813.65075
Carpraux, J. F.; Erhel, J.; Sadkane, M.
1994
Use of near-breakdowns in the block Arnoldi method for solving large Sylvester equations. Zbl 1136.65046
2008
Spectral analysis of symplectic matrices with application to the theory of parametric resonance. Zbl 1124.65040
2006
Numerical determination of a canonical form of a symplectic matrix. Zbl 1071.65049
2001
Block Lanczos techniques for accelerating the block Cimmino method. Zbl 0839.65037
Arioli, Mario; Duff, Iain S.; Ruiz, Daniel; Sadkane, Miloud
1995
Estimates from the discrete-time Lyapunov equation. Zbl 1068.93047
2003
Computation of pseudospectra via spectral projectors. Zbl 0935.65035
1998
Arnoldi-Riccati method for large eigenvalue problems. Zbl 0856.65035
1996
Computing humps of the matrix exponential. Zbl 1360.65136
2017
Using the Sherman-Morrison-Woodbury inversion formula for a fast solution of tridiagonal block Toeplitz systems. Zbl 1223.65020
2011
Fast computation of optimal disturbances for duct flows with a given accuracy. Zbl 1224.76045
Bojko, A. V.; Nechepurenko, Yu. M.; Sadkane, M.
2010
Riccati-based preconditioner for computing invariant subspaces of large matrices. Zbl 1004.65057
2002
Implementation of a variable block Davidson method with deflation for solving large sparse eigenproblems. Zbl 0940.65039
1999
Arnoldi-Faber method for large non Hermitian eigenvalue problems. Zbl 0899.65016
1997
On parabolic and elliptic spectral dichotomy. Zbl 0872.65034
1997
A Newton-like method for computing deflating subspaces. Zbl 1328.65086
Demyanko, Kirill V.; Nechepurenko, Yuri M.; Sadkane, Miloud
2015
Computing the maximum amplification of the solution norm of differential-algebraic systems. Zbl 1258.65072
Boiko, A. V.; Nechepurenko, Yu. M.; Sadkane, M.
2012
Efficient methods for computing spectral projectors for linearized hydrodynamic equations. Zbl 1404.76102
Hechme, Grace; Nechepurenko, Yuri M.; Sadkane, Miloud
2008
Discrete-time Lyapunov stability of large matrices. Zbl 0963.93054
2000
Computation of the fundamental singular subspace of a large matrix. Zbl 0874.65028
1997
Elliptic dichotomy of a matrix spectrum. Zbl 0865.65018
1996
A Newton-type method for non-linear eigenproblems. Zbl 1368.65056
Demyanko, Kirill V.; Nechepurenko, Yuri M.; Sadkane, Miloud
2017
On the squared Smith method for large-scale Stein equations. Zbl 1340.65073
Benner, Peter; El Khoury, Grece; Sadkane, Miloud
2014
On the computation of the distance to quadratic matrix polynomials that are singular at some points on the unit circle. Zbl 1312.65073
2014
Fast solution of unsymmetric banded Toeplitz systems by means of spectral factorizations and Woodbury’s formula. Zbl 1324.65041
2014
Convergence analysis of the block Householder diagonalization algorithm. Zbl 1079.65054
2005
Numerical spectral analysis of hydrodynamic equations. Zbl 1233.76082
Hechmé, G.; Nechepurenko, Yu. M.; Sadkane, M.
2005
Convergence of the Newton-Kantorovich method for calculating invariant subspaces. Zbl 1110.65033
2004
Componentwise pseudospectrum of a matrix. Zbl 1050.15009
2004
On the stability of large matrices. Zbl 0943.15009
1999
Pseudospectra of linear matrix pencils by block diagonalization. Zbl 0892.65026
1998
Parallel computation of spectral portrait of large matrices by Davidson type methods. Zbl 0920.65020
Heuveline, Vincent; Philippe, Bernard; Sadkane, Miloud
1997
Parallel computation of spectral portrait of large matrices. Zbl 0887.65037
1996
Chebyshev acceleration techniques for large complex non Hermitian eigenvalue problems. Zbl 0859.65031
1996
An alternating maximization method for approximating the hump of the matrix exponential. Zbl 1378.65097
2017
The Davison-Man method revisited. Zbl 1302.65107
2014
A bisection method for measuring the distance of a quadratic matrix polynomial to the quadratic matrix polynomials that are singular on the unit circle. Zbl 1290.65039
2014
Algorithm 918: specdicho: a MATLAB program for the spectral dichotomy of regular matrix pencils. Zbl 1365.65095
2012
A generalization of matrix inversion with application to linear differential-algebraic systems. Zbl 1251.15009
2012
A note on symplectic block reflectors. Zbl 1171.65038
2009
Model reduction for a class of linear descriptor systems. Zbl 1172.65039
Hechme, G.; Nechepurenko, Yu. M.; Sadkane, M.
2009
A note on the Lyapunov stability of periodic discrete-time systems. Zbl 1114.39002
2005
A note on normal matrices. Zbl 0997.15019
2001
Using Krylov approximations to the matrix exponential operator in Davidson’s method. Zbl 0942.65036
1999
Résolution de systèmes linéaires par la méthode de Davidson. (Davidson’s method for solving linear systems). Zbl 0736.65020
1991
Computing humps of the matrix exponential. Zbl 1360.65136
2017
A Newton-type method for non-linear eigenproblems. Zbl 1368.65056
Demyanko, Kirill V.; Nechepurenko, Yuri M.; Sadkane, Miloud
2017
An alternating maximization method for approximating the hump of the matrix exponential. Zbl 1378.65097
2017
A Newton-like method for computing deflating subspaces. Zbl 1328.65086
Demyanko, Kirill V.; Nechepurenko, Yuri M.; Sadkane, Miloud
2015
Acceleration of inverse subspace iteration with Newton’s method. Zbl 1291.65118
El Khoury, G.; Nechepurenko, Yu. M.; Sadkane, M.
2014
On the squared Smith method for large-scale Stein equations. Zbl 1340.65073
Benner, Peter; El Khoury, Grece; Sadkane, Miloud
2014
On the computation of the distance to quadratic matrix polynomials that are singular at some points on the unit circle. Zbl 1312.65073
2014
Fast solution of unsymmetric banded Toeplitz systems by means of spectral factorizations and Woodbury’s formula. Zbl 1324.65041
2014
The Davison-Man method revisited. Zbl 1302.65107
2014
A bisection method for measuring the distance of a quadratic matrix polynomial to the quadratic matrix polynomials that are singular on the unit circle. Zbl 1290.65039
2014
A low-rank Krylov squared Smith method for large-scale discrete-time Lyapunov equations. Zbl 1260.65040
2012
Computing the maximum amplification of the solution norm of differential-algebraic systems. Zbl 1258.65072
Boiko, A. V.; Nechepurenko, Yu. M.; Sadkane, M.
2012
Algorithm 918: specdicho: a MATLAB program for the spectral dichotomy of regular matrix pencils. Zbl 1365.65095
2012
A generalization of matrix inversion with application to linear differential-algebraic systems. Zbl 1251.15009
2012
A low-rank approximation for computing the matrix exponential norm. Zbl 1298.65085
2011
Using the Sherman-Morrison-Woodbury inversion formula for a fast solution of tridiagonal block Toeplitz systems. Zbl 1223.65020
2011
Fast computation of optimal disturbances for duct flows with a given accuracy. Zbl 1224.76045
Bojko, A. V.; Nechepurenko, Yu. M.; Sadkane, M.
2010
Inexact inverse subspace iteration with preconditioning applied to non-Hermitian eigenvalue problems. Zbl 1269.65036
Robbé, Mickaël; Sadkane, Miloud; Spence, Alastair
2009
A note on symplectic block reflectors. Zbl 1171.65038
2009
Model reduction for a class of linear descriptor systems. Zbl 1172.65039
Hechme, G.; Nechepurenko, Yu. M.; Sadkane, M.
2009
Use of near-breakdowns in the block Arnoldi method for solving large Sylvester equations. Zbl 1136.65046
2008
Efficient methods for computing spectral projectors for linearized hydrodynamic equations. Zbl 1404.76102
Hechme, Grace; Nechepurenko, Yuri M.; Sadkane, Miloud
2008
Exact and inexact breakdowns in the block GMRES method. Zbl 1112.65028
2006
Spectral analysis of symplectic matrices with application to the theory of parametric resonance. Zbl 1124.65040
2006
Convergence analysis of the block Householder diagonalization algorithm. Zbl 1079.65054
2005
Numerical spectral analysis of hydrodynamic equations. Zbl 1233.76082
Hechmé, G.; Nechepurenko, Yu. M.; Sadkane, M.
2005
A note on the Lyapunov stability of periodic discrete-time systems. Zbl 1114.39002
2005
Convergence of the Newton-Kantorovich method for calculating invariant subspaces. Zbl 1110.65033
2004
Componentwise pseudospectrum of a matrix. Zbl 1050.15009
2004
Some new algorithms for the spectral dichotomy methods. Zbl 1035.65032
2003
Estimates from the discrete-time Lyapunov equation. Zbl 1068.93047
2003
A convergence analysis of GMRES and FOM methods for Sylvester equations. Zbl 1005.65030
2002
Riccati-based preconditioner for computing invariant subspaces of large matrices. Zbl 1004.65057
2002
Numerical determination of a canonical form of a symplectic matrix. Zbl 1071.65049
2001
A note on normal matrices. Zbl 0997.15019
2001
Discrete-time Lyapunov stability of large matrices. Zbl 0963.93054
2000
Implementation of a variable block Davidson method with deflation for solving large sparse eigenproblems. Zbl 0940.65039
1999
On the stability of large matrices. Zbl 0943.15009
1999
Using Krylov approximations to the matrix exponential operator in Davidson’s method. Zbl 0942.65036
1999
Computation of pseudospectra via spectral projectors. Zbl 0935.65035
1998
Pseudospectra of linear matrix pencils by block diagonalization. Zbl 0892.65026
1998
Arnoldi-Faber method for large non Hermitian eigenvalue problems. Zbl 0899.65016
1997
On parabolic and elliptic spectral dichotomy. Zbl 0872.65034
1997
Computation of the fundamental singular subspace of a large matrix. Zbl 0874.65028
1997
Parallel computation of spectral portrait of large matrices by Davidson type methods. Zbl 0920.65020
Heuveline, Vincent; Philippe, Bernard; Sadkane, Miloud
1997
Arnoldi-Riccati method for large eigenvalue problems. Zbl 0856.65035
1996
Elliptic dichotomy of a matrix spectrum. Zbl 0865.65018
1996
Parallel computation of spectral portrait of large matrices. Zbl 0887.65037
1996
Chebyshev acceleration techniques for large complex non Hermitian eigenvalue problems. Zbl 0859.65031
1996
Block Lanczos techniques for accelerating the block Cimmino method. Zbl 0839.65037
Arioli, Mario; Duff, Iain S.; Ruiz, Daniel; Sadkane, Miloud
1995
The Davidson method. Zbl 0803.65042
Crouzeix, M.; Philippe, B.; Sadkane, M.
1994
Spectral portrait for non-Hermitian large sparse matrices. Zbl 0813.65075
Carpraux, J. F.; Erhel, J.; Sadkane, M.
1994
Block-Arnoldi and Davidson methods for unsymmetric large eigenvalue problems. Zbl 0791.65021
1993
A block Arnoldi-Chebyshev method for computing the leading eigenpairs of large sparse unsymmetric matrices. Zbl 0791.65020
1993
Résolution de systèmes linéaires par la méthode de Davidson. (Davidson’s method for solving linear systems). Zbl 0736.65020
1991
all top 5

all top 5

#### Cited in 62 Serials

 36 Journal of Computational and Applied Mathematics 26 Linear Algebra and its Applications 12 BIT 9 Journal of Computational Physics 9 Applied Mathematics and Computation 8 SIAM Journal on Scientific Computing 7 Numerical Algorithms 7 Numerical Linear Algebra with Applications 6 Applied Numerical Mathematics 6 Russian Journal of Numerical Analysis and Mathematical Modelling 5 Computers & Mathematics with Applications 5 Applied Mathematics Letters 4 Numerische Mathematik 3 Journal of the Franklin Institute 3 Journal of Scientific Computing 2 Acta Mechanica 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal of Systems Science 2 Computing 2 Mathematical and Computer Modelling 2 SIAM Journal on Matrix Analysis and Applications 2 Computational Mathematics and Mathematical Physics 2 Applied Mathematical Modelling 2 Computational and Applied Mathematics 2 Computational Methods in Applied Mathematics 1 Journal of Engineering Mathematics 1 Linear and Multilinear Algebra 1 Russian Mathematical Surveys 1 ACM Transactions on Mathematical Software 1 Calcolo 1 Numerical Functional Analysis and Optimization 1 Parallel Computing 1 Acta Mathematicae Applicatae Sinica. English Series 1 Computational Mathematics and Modeling 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 International Journal of Computer Mathematics 1 SIAM Review 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Communications in Numerical Methods in Engineering 1 Advances in Computational Mathematics 1 Reliable Computing 1 Parallel Algorithms and Applications 1 Doklady Mathematics 1 Mathematical Methods of Operations Research 1 Journal of Shanghai University 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Engineering Computations 1 Dynamical Systems 1 Portugaliae Mathematica. Nova Série 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Numerical Mathematics 1 Computational Methods and Function Theory 1 International Journal of Parallel, Emergent and Distributed Systems 1 Advances in Mathematical Physics 1 Advances in Numerical Analysis 1 International Journal of Numerical Methods and Applications 1 Symmetry 1 Afrika Matematika 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Applied Analysis and Computation 1 Nanoscale Systems: Mathematical Modeling, Theory and Applications
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#### Cited in 22 Fields

 175 Numerical analysis (65-XX) 76 Linear and multilinear algebra; matrix theory (15-XX) 12 Systems theory; control (93-XX) 7 Ordinary differential equations (34-XX) 7 Partial differential equations (35-XX) 7 Fluid mechanics (76-XX) 5 Operator theory (47-XX) 5 Quantum theory (81-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Combinatorics (05-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 2 History and biography (01-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX)

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