Parallel solution of Riccati matrix equations with the matrix sign function
type: Item
instance of: scholarly article
title: Parallel solution of Riccati matrix equations with the matrix sign function
zbMATH Open document ID: 0905.65055
DOI: 10.1016/S0005-1098(97)00179-9
published in: Automatica
publication date: 1999-01-05T00:00:00Z
review text: Several parallel implementations of the matrix sign function, applied to the continuous-time algebraic Riccati equation, are presented. On shared memory multiprocessors reliable, portable and efficient subroutines are guaranteed based on LAPACK and BLAS-3 kernels. On distributed memory multiprocessors, the use of column block wrap distributions, LAPACK, and BLAS-3 also improves the efficiency of the algorithm.
reviewed by: F. Szidarovszky
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 49N10
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 1192915
zbMATH Keywords: Riccati matrix equations
zbMATH Keywords: optimal control
zbMATH Keywords: parallel algorithms
zbMATH Keywords: matrix sign function
author: Enrique S. Quintana-Ortí
author: V. Hernández
describes a project that uses: LAPACK
MaRDI profile type: Publication
cites work: Q4841244
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full work available at URL: s0005-1098(97)00179-9
OpenAlex ID: W2027618531
description: scientific article; zbMATH DE number 1192915