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Invariant subspaces of matrices with applications

Author: I Gohberg; Peter Lancaster; L Rodman
Publisher: New York : Wiley, ©1986.
Series: Canadian Mathematical Society series of monographs and advanced texts.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This unique treatment of linear algebra establishes the central role of invariant subspaces in the analysis of linear transformation.

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Additional Physical Format: Online version:
Gohberg, I. (Israel), 1928-
Invariant subspaces of matrices with applications.
New York : Wiley, ©1986
(OCoLC)610176141
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: I Gohberg; Peter Lancaster; L Rodman
ISBN: 0471842605 9780471842606
OCLC Number: 13580218
Notes: "A Wiley-Interscience publication."
Includes indexes.
Description: xv, 692 pages : illustrations ; 24 cm
Contents: FUNDAMENTAL PROPERTIES OF INVARIANT SUBSPACES AND APPLICATIONS: Invariant Subspaces: Definition, Examples and First Properties; Jordan Form and Invariant Subspaces; Coinvariant and Semi-invariant Subspaces; Jordan Form for Extensions and Completions; Applications to Matrix Polynomials; Invariant Subspaces for Transformations between Different Spaces; Rational Matrix Functions; Linear Systems; ALGEBRAIC PROPERTIES OF INVARIANT SUBSPACES: Commuting Matrices and Hyperinvariant Subspaces; Description of Invariant Subspaces and Linear Transformations with the Same Invariant Subspaces; Algebras of Matrices and Invariant Subspaces; Real Linear Transformations; TOPOLOGICAL PROPERTIES OF INVARIANT SUBSPACES AND STABILITY: The Metric Space of Subspaces; The Metric Space of Invariant Subspaces; Continuity and Stability of Invariant Subspaces; Perturbations of Lattices of Invariant Subspaces with Restrictions; Applications; ANALYTIC PROPERTIES OF INVARIANT SUBSPACES: Analytic Families of Subspaces; Jordan Form of Analytic Matrix Functions; Applications; Appendix; List of Notations and Conventions; References.
Series Title: Canadian Mathematical Society series of monographs and advanced texts.
Responsibility: I. Gohberg, P. Lancaster, L. Rodman.

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