Arnoldi methods for large Sylvester-like observer matrix equations, and an associated algorithm for partial spectrum assignment
type: Item
instance of: scholarly article
title: Arnoldi methods for large Sylvester-like observer matrix equations, and an associated algorithm for partial spectrum assignment
zbMATH Open document ID: 0734.65037
DOI: 10.1016/0024-3795(91)90378-A
author: Biswa Nath Datta
author: Y. Saad
published in: Linear Algebra and its Applications
publication date: 1991-01-01T00:00:00Z
review text: The authors propose a numerical method for solving a Sylvester-type equation \(AX-XH=G,\) where, with given \(N\times N\) matrix A (considered here as large and sparse) and \(N\times m\) matrix G, they construct an \(m\times m\) Hessenberg matrix H with a preassigned spectrum, and an \(N\times m\) orthonormal matrix X.
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 65F50
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 93B55
zbMATH DE Number: 4215272
zbMATH Keywords: partial spectrum assignment
zbMATH Keywords: Sylvester-type matrix equation
zbMATH Keywords: Arnoldi method
zbMATH Keywords: Luenberger observer
zbMATH Keywords: Hessenberg-Schur method
zbMATH Keywords: partial pole- assignment problem
zbMATH Keywords: large matrices
zbMATH Keywords: Hessenberg matrix with preassigned spectum
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4215272