Schur decompositions of a matrix and the boundary of its pseudospectrum

Lyonell Boulton; Peter Lancaster

doi:10.1137/070682642

Schur decompositions of a matrix and the boundary of its pseudospectrum

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss the notion of irreducible block Schur decomposition of a complex square matrix and show how such a decomposition provides information about singularities in the boundaries of pseudospectra of the matrix. Detailed examples are provided to illustrate the theory. © 2010 Society for Industrial and Applied Mathematics.

Original language	English
Pages (from-to)	2921-2933
Number of pages	13
Journal	SIAM Journal on Matrix Analysis and Applications
Volume	31
Issue number	5
DOIs	https://doi.org/10.1137/070682642
Publication status	Published - 2010

Keywords

Irreducible block Schur decomposition
Path-following algorithms
Pseudospectra of linear transformations
Schur triangular form

Access to Document

10.1137/070682642

Cite this

@article{63e72d7e56024845b9d7a1faa212ec0e,

title = "Schur decompositions of a matrix and the boundary of its pseudospectrum",

abstract = "We discuss the notion of irreducible block Schur decomposition of a complex square matrix and show how such a decomposition provides information about singularities in the boundaries of pseudospectra of the matrix. Detailed examples are provided to illustrate the theory. {\textcopyright} 2010 Society for Industrial and Applied Mathematics.",

keywords = "Irreducible block Schur decomposition, Path-following algorithms, Pseudospectra of linear transformations, Schur triangular form",

author = "Lyonell Boulton and Peter Lancaster",

year = "2010",

doi = "10.1137/070682642",

language = "English",

volume = "31",

pages = "2921--2933",

journal = "SIAM Journal on Matrix Analysis and Applications",

issn = "0895-4798",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "5",

}

TY - JOUR

T1 - Schur decompositions of a matrix and the boundary of its pseudospectrum

AU - Boulton, Lyonell

AU - Lancaster, Peter

PY - 2010

Y1 - 2010

N2 - We discuss the notion of irreducible block Schur decomposition of a complex square matrix and show how such a decomposition provides information about singularities in the boundaries of pseudospectra of the matrix. Detailed examples are provided to illustrate the theory. © 2010 Society for Industrial and Applied Mathematics.

AB - We discuss the notion of irreducible block Schur decomposition of a complex square matrix and show how such a decomposition provides information about singularities in the boundaries of pseudospectra of the matrix. Detailed examples are provided to illustrate the theory. © 2010 Society for Industrial and Applied Mathematics.

KW - Irreducible block Schur decomposition

KW - Path-following algorithms

KW - Pseudospectra of linear transformations

KW - Schur triangular form

UR - https://www.scopus.com/pages/publications/79251496658

U2 - 10.1137/070682642

DO - 10.1137/070682642

M3 - Article

SN - 0895-4798

VL - 31

SP - 2921

EP - 2933

JO - SIAM Journal on Matrix Analysis and Applications

JF - SIAM Journal on Matrix Analysis and Applications

IS - 5

ER -

Schur decompositions of a matrix and the boundary of its pseudospectrum

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this