Solving Rank-Structured Sylvester and Lyapunov Equations

Stefano Massei; Davide Palitta; Leonardo Robol

doi:10.1137/17m1157155

Solving Rank-Structured Sylvester and Lyapunov Equations

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/17m1157155 ◽

2018 ◽

Vol 39 (4) ◽

pp. 1564-1590 ◽

Cited By ~ 9

Author(s):

Stefano Massei ◽

Davide Palitta ◽

Leonardo Robol

Keyword(s):

Lyapunov Equations

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Solution of positive periodic discrete Lyapunov equations with applications to the balancing of periodic systems

1997 European Control Conference (ECC) ◽

10.23919/ecc.1997.7082708 ◽

1997 ◽

Cited By ~ 1

Author(s):

A. Varga

Keyword(s):

Periodic Systems ◽

Lyapunov Equations

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Deterministic Continuation of Stochastic Metastable Equilibria via Lyapunov Equations and Ellipsoids

SIAM Journal on Scientific Computing ◽

10.1137/110839874 ◽

2012 ◽

Vol 34 (3) ◽

pp. A1635-A1658 ◽

Cited By ~ 15

Author(s):

Christian Kuehn

Keyword(s):

Lyapunov Equations

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A modified matrix sign function method for projected Lyapunov equations

Systems & Control Letters ◽

10.1016/j.sysconle.2007.06.003 ◽

2007 ◽

Vol 56 (11-12) ◽

pp. 695-701 ◽

Cited By ~ 9

Author(s):

Tatjana Stykel

Keyword(s):

Function Method ◽

Lyapunov Equations ◽

Matrix Sign Function ◽

Sign Function

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Low-Rank Solution of Lyapunov Equations

SIAM Review ◽

10.1137/s0036144504443389 ◽

2004 ◽

Vol 46 (4) ◽

pp. 693-713 ◽

Cited By ~ 39

Author(s):

Jing-Rebecca Li ◽

Jacob White

Keyword(s):

Low Rank ◽

Lyapunov Equations

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Numerical solution of very large, sparse Lyapunov equations through approximate power iteration

10.1109/cdc.1990.203598 ◽

1990 ◽

Cited By ~ 8

Author(s):

A.S. Hodel ◽

K. Poolla

Keyword(s):

Numerical Solution ◽

Lyapunov Equations ◽

Power Iteration ◽

Approximate Power

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Structure Preserving Iterative Solution of Periodic Projected Lyapunov Equations

IFAC Proceedings Volumes ◽

10.3182/20120215-3-at-3016.00048 ◽

2012 ◽

Vol 45 (2) ◽

pp. 276-281 ◽

Cited By ~ 8

Author(s):

Peter Benner ◽

Mohammad-Sahadet Hossain

Keyword(s):

Iterative Solution ◽

Lyapunov Equations ◽

Structure Preserving

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Numerical Methods for Large-Scale Lyapunov Equations with Symmetric Banded Data

SIAM Journal on Scientific Computing ◽

10.1137/17m1156575 ◽

2018 ◽

Vol 40 (5) ◽

pp. A3581-A3608 ◽

Cited By ~ 4

Author(s):

Davide Palitta ◽

Valeria Simoncini

Keyword(s):

Numerical Methods ◽

Large Scale ◽

Lyapunov Equations

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Memory-efficient Krylov subspace techniques for solving large-scale Lyapunov equations

2008 IEEE International Conference on Computer-Aided Control Systems ◽

10.1109/cacsd.2008.4627370 ◽

2008 ◽

Cited By ~ 4

Author(s):

Daniel Kressner

Keyword(s):

Large Scale ◽

Krylov Subspace ◽

Lyapunov Equations ◽

Memory Efficient

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Krylov Subspace Methods for Solving Large Lyapunov Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0731012 ◽

1994 ◽

Vol 31 (1) ◽

pp. 227-251 ◽

Cited By ~ 194

Author(s):

Imad M. Jaimoukha ◽

Ebrahim M. Kasenally

Keyword(s):

Krylov Subspace ◽

Krylov Subspace Methods ◽

Lyapunov Equations ◽

Subspace Methods

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General analytical forms for the solution of the Sylvester and Lyapunov equations for continuous and discrete dynamic systems

Journal of Computer and Systems Sciences International ◽

10.1134/s1064230717010130 ◽

2017 ◽

Vol 56 (1) ◽

pp. 1-18

Author(s):

N. E. Zubov ◽

E. Yu. Zybin ◽

E. A. Mikrin ◽

M. Sh. Misrikhanov ◽

V. N. Ryabchenko

Keyword(s):

Dynamic Systems ◽

Lyapunov Equations ◽

Discrete Dynamic ◽

Discrete Dynamic Systems

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