The Resource Matrix polynomials, I. Gohberg, P. Lancaster, L. Rodman, (electronic resource)

Matrix polynomials, I. Gohberg, P. Lancaster, L. Rodman, (electronic resource)

Label
Matrix polynomials
Title
Matrix polynomials
Statement of responsibility
I. Gohberg, P. Lancaster, L. Rodman
Creator
Contributor
Publisher
Subject
Language
eng
Summary
This book provides a comprehensive treatment of the theory of polynomials in a complex variable with matrix coefficients. Basic matrix theory can be viewed as the study of the special case of polynomials of first degree; the theory developed in Matrix Polynomials is a natural extension of this case to polynomials of higher degree. It has applications in many areas, such as differential equations, systems theory, the Wiener-Hopf technique, mechanics and vibrations, and numerical analysis. Although there have been significant advances in some quarters, this work remains the only systematic development of the theory of matrix polynomials. Audience: students, instructors, and researchers in linear algebra, operator theory, differential equations, systems theory, and numerical analysis. Its contents are accessible to readers who have had undergraduate-level courses in linear algebra and complex analysis
Member of
Cataloging source
CaBNvSL
http://library.link/vocab/creatorDate
1928-
http://library.link/vocab/creatorName
Gohberg, I.
Index
index present
LC call number
QA188
LC item number
.G64 2009eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1929-
http://library.link/vocab/relatedWorkOrContributorName
  • Lancaster, Peter
  • Rodman, L
  • Society for Industrial and Applied Mathematics
Series statement
Classics in applied mathematics
Series volume
58
http://library.link/vocab/subjectName
  • Matrices
  • Polynomials
Target audience
  • adult
  • specialized
Label
Matrix polynomials, I. Gohberg, P. Lancaster, L. Rodman, (electronic resource)
Instantiates
Publication
Note
Originally published: New York : Academic Press, 1982
Bibliography note
Includes bibliographical references and index
Color
black and white
Contents
Linearization and standard pairs -- Representation of monic matrix polynomials -- Multiplication and divisibility -- Spectral divisors and canonical factorization -- Perturbation and stability of divisors -- Extension problems -- Spectral properties and representations -- Applications to differential and difference equations -- Least common multiples and greatest common divisors of matrix polynomials -- General theory -- Factorization of self-adjoint matrix polynomials -- Further analysis of the sign characteristic -- Quadratic self-adjoint polynomials -- Supplementary chapters in linear algebra: -- The Smith form and related problems -- The matrix equation AX - XB = C -- One-sided and generalized inverses -- Stable invariant subspaces -- Indefinite scalar product spaces -- Analytic matrix functions
Dimensions
unknown
Edition
SIAM ed., Classics ed..
Extent
1 online resource
File format
multiple file formats
Form of item
online
Isbn
9780898719024
Other control number
CL58
Reformatting quality
access
Specific material designation
remote
System control number
  • (CaBNvSL)gtp00544268
  • (CaBNvSL)9780898719024
Label
Matrix polynomials, I. Gohberg, P. Lancaster, L. Rodman, (electronic resource)
Publication
Note
Originally published: New York : Academic Press, 1982
Bibliography note
Includes bibliographical references and index
Color
black and white
Contents
Linearization and standard pairs -- Representation of monic matrix polynomials -- Multiplication and divisibility -- Spectral divisors and canonical factorization -- Perturbation and stability of divisors -- Extension problems -- Spectral properties and representations -- Applications to differential and difference equations -- Least common multiples and greatest common divisors of matrix polynomials -- General theory -- Factorization of self-adjoint matrix polynomials -- Further analysis of the sign characteristic -- Quadratic self-adjoint polynomials -- Supplementary chapters in linear algebra: -- The Smith form and related problems -- The matrix equation AX - XB = C -- One-sided and generalized inverses -- Stable invariant subspaces -- Indefinite scalar product spaces -- Analytic matrix functions
Dimensions
unknown
Edition
SIAM ed., Classics ed..
Extent
1 online resource
File format
multiple file formats
Form of item
online
Isbn
9780898719024
Other control number
CL58
Reformatting quality
access
Specific material designation
remote
System control number
  • (CaBNvSL)gtp00544268
  • (CaBNvSL)9780898719024

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