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

Mapping Intimacies ◽

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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Numerical solution of the Lyapunov equation by approximate power iteration

Linear Algebra and its Applications ◽

10.1016/0024-3795(94)00155-3 ◽

1996 ◽

Vol 236 ◽

pp. 205-230 ◽

Cited By ~ 36

Author(s):

A.Scottedward Hodel ◽

Bruce Tenison ◽

Kameshwar R. Poolla

Keyword(s):

Numerical Solution ◽

Lyapunov Equation ◽

Power Iteration ◽

Approximate Power

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A Parameter Free ADI-Like Method for the Numerical Solution of Large Scale Lyapunov Equations

Splitting Methods in Communication, Imaging, Science, and Engineering - Scientific Computation ◽

10.1007/978-3-319-41589-5_11 ◽

2016 ◽

pp. 409-425 ◽

Cited By ~ 1

Author(s):

Danny C. Sorensen

Keyword(s):

Numerical Solution ◽

Large Scale ◽

Lyapunov Equations

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Numerical solution and perturbation theory for generalized Lyapunov equations

Linear Algebra and its Applications ◽

10.1016/s0024-3795(02)00255-0 ◽

2002 ◽

Vol 349 (1-3) ◽

pp. 155-185 ◽

Cited By ~ 32

Author(s):

Tatjana Stykel

Keyword(s):

Perturbation Theory ◽

Numerical Solution ◽

Lyapunov Equations

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Numerical solution to low rank perturbed Lyapunov equations by the sign function method

PAMM ◽

10.1002/pamm.201610350 ◽

2016 ◽

Vol 16 (1) ◽

pp. 723-724

Author(s):

Peter Benner ◽

Jonas Denißen

Keyword(s):

Numerical Solution ◽

Function Method ◽

Low Rank ◽

Lyapunov Equations ◽

Sign Function

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Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems

Numerical Linear Algebra with Applications ◽

10.1002/nla.622 ◽

2008 ◽

Vol 15 (9) ◽

pp. 755-777 ◽

Cited By ~ 167

Author(s):

Peter Benner ◽

Jing-Rebecca Li ◽

Thilo Penzl

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Large Scale ◽

Optimal Control Problems ◽

Riccati Equations ◽

Control Problems ◽

Lyapunov Equations ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

Quadratic Optimal Control

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Numerical solution of the two-dimensional Lyapunov equations and application in order reduction of recursive digital filters

Proceedings of IEEE Pacific Rim Conference on Communications Computers and Signal Processing ◽

10.1109/pacrim.1993.407181 ◽

2002 ◽

Cited By ~ 6

Author(s):

H. Luo ◽

W.-S. Lu ◽

A. Antoniou

Keyword(s):

Numerical Solution ◽

Digital Filters ◽

Order Reduction ◽

Two Dimensional ◽

Lyapunov Equations ◽

Recursive Digital Filters

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Numerical solution of Lyapunov equations related to Markov jump linear systems

Numerical Linear Algebra with Applications ◽

10.1002/nla.2113 ◽

2017 ◽

Vol 25 (6) ◽

pp. e2113 ◽

Cited By ~ 1

Author(s):

Tobias Damm ◽

Kazuhiro Sato ◽

Axel Vierling

Keyword(s):

Numerical Solution ◽

Linear Systems ◽

Lyapunov Equations ◽

Markov Jump ◽

Jump Linear Systems ◽

Markov Jump Linear Systems

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Numerical solution of singular Lyapunov equations

Numerical Linear Algebra with Applications ◽

10.1002/nla.2381 ◽

2021 ◽

Author(s):

Eric K.‐W. Chu ◽

Daniel B. Szyld ◽

Jieyong Zhou

Keyword(s):

Numerical Solution ◽

Lyapunov Equations

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Numerical solution of large scale Lyapunov equations using Krylov subspace methods

[1992] Proceedings of the 31st IEEE Conference on Decision and Control ◽

10.1109/cdc.1992.371095 ◽

2005 ◽

Cited By ~ 3

Author(s):

I.M. Jaimoukha ◽

E.M. Kasenally ◽

D.J.N. Limebeer

Keyword(s):

Numerical Solution ◽

Large Scale ◽

Krylov Subspace ◽

Krylov Subspace Methods ◽

Lyapunov Equations ◽

Subspace Methods

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Convergence Analysis of Projection Methods for the Numerical Solution of Large Lyapunov Equations

SIAM Journal on Numerical Analysis ◽

10.1137/070699378 ◽

2009 ◽

Vol 47 (2) ◽

pp. 828-843 ◽

Cited By ~ 20

Author(s):

V. Simoncini ◽

V. Druskin

Keyword(s):

Numerical Solution ◽

Convergence Analysis ◽

Projection Methods ◽

Lyapunov Equations

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