A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations

Valeria Simoncini

doi:10.1137/06066120x

ScienceGate Book Chapters

JOURNAL ARTICLE

A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations

Valeria Simoncini

Year: 2007 Journal: SIAM Journal on Scientific Computing Vol: 29 (3)Pages: 1268-1288 Publisher: Society for Industrial and Applied Mathematics

DOI: 10.1137/06066120x

Get Full-Text PDF Get Analytical Report

Abstract

Keywords:

Mathematics Linear subspace Lyapunov equation Lyapunov function Applied mathematics Iterative method Matrix (chemical analysis) Krylov subspace Projection (relational algebra) Scale (ratio) Numerical linear algebra Numerical analysis Mathematical optimization Mathematical analysis Algorithm Nonlinear system Geometry

Metrics

337

Cited By

9.86

FWCI (Field Weighted Citation Impact)

Refs

0.99

Citation Normalized Percentile

Is in top 1%

Is in top 10%

Citation History

Topics

Matrix Theory and Algorithms

Physical Sciences → Computer Science → Computational Theory and Mathematics

Numerical methods for differential equations

Physical Sciences → Mathematics → Numerical Analysis

Model Reduction and Neural Networks

Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics

A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations

Abstract

Metrics

Citation History

Topics

Related Documents

Improved gradient iterative algorithms for solving Lyapunov matrix equations

PHSS Iterative Method for Solving Generalized Lyapunov Equations

A Newton iterative method for coupled Lyapunov matrix equations

Improved SOR iterative method for coupled Lyapunov matrix equations

Explicit iterative algorithms for solving coupled discrete‐time Lyapunov matrix equations