PARALLEL DISTRIBUTED SOLVERS FOR LARGE STABLE GENERALIZED LYAPUNOV EQUATIONS-Reference-Cited by-同舟云学术

PARALLEL DISTRIBUTED SOLVERS FOR LARGE STABLE GENERALIZED LYAPUNOV EQUATIONS

Published:1999-03 Issue:01 Volume:09 Page:147-158
ISSN:0129-6264
Container-title:Parallel Processing Letters
language:en
Short-container-title:Parallel Process. Lett.

Author:

BENNER PETER¹,CLAVER JOSÉ M.²,QUINTANA-ORTI ENRIQUE S.²

Affiliation:

1. Zentrum Für Technomathematik, Fachbereich 3 / Mathematik und Informatik, Universitāt Bremen, D-28334-Bremen, Germany

2. Dpto. de Informática, Universitat Jaume I, Aptdo. 242, 12071-Castellón, Spain

Abstract

In this paper we study the solution of stable generalized Lyapunov matrix equations with large-scale, dense coefficient matrices. Our iterative algorithms, based on the matrix sign function, only require scalable matrix algebra kernels which are highly efficient on parallel distributed architectures. This approach avoids therefore the difficult parallelization of direct methods based on the QZ algorithm. The experimental analtsis reports a remarkable performance of our solvers on an IBM SP2 platform.

Publisher

World Scientific Pub Co Pte Lt

Subject

Hardware and Architecture,Theoretical Computer Science,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129626499000165

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