Invariant Subspaces of Matrices with Applications
Published on 13. January 1987
Book
Hardback
710 pages
978-0-471-84260-6 (ISBN)
Description
This unique treatment of linear algebra establishes the central role of invariant subspaces in the analysis of linear transformation. Incorporating the newest developments in linear algebra stimulated by linear systems theory, it gives a comprehensive view of geometrical, algebraic, topological, and analytical properties of invariant subspaces, with an emphasis on applications to matrix polynomials, rational matrix functions, linear systems, and matrix quadratic equations. Also presented is an algebraic treatment of control and systems theories. Written by a world-famous expert, this text contains material not previously published, and includes numerous exercises.
More details
Series
Language
English
Place of publication
New York
United States
Publishing group
John Wiley and Sons Ltd
Target group
College/higher education
Professional and scholarly
Illustrations
bibliography, index
Dimensions
Height: 230 mm
Width: 150 mm
Weight
709 gr
ISBN-13
978-0-471-84260-6 (9780471842606)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions
Israel Gohberg | Peter Lancaster | Lehba Rodman
Invariant Subspaces of Matrices with Applications
Book
07/2006
Society for Industrial & Applied Mathematics,U.S.
€133.50
Shipment within 3-4 weeks
Persons
Content
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.