Invariant Subspaces of Matrices with Applications (Classics in Applied Mathematics, Series Number 51) - Softcover

Gohberg, Israel; Lancaster, Peter; Rodman, Leiba

Softcover

ISBN 10: 089871608X ISBN 13: 9780898716085

Publisher: Society for Industrial and Applied Mathematics, 2006

Synopsis

This unique book addresses advanced linear algebra from a perspective in which invariant subspaces are the central notion and main tool. It contains comprehensive coverage of geometrical, algebraic, topological, and analytic properties of invariant subspaces. The text lays clear mathematical foundations for linear systems theory and contains a thorough treatment of analytic perturbation theory for matrix functions.

About this title

Book Description

This unique book addresses advanced linear algebra using invariant subspaces as the central notion and main tool. It comprehensively covers geometrical, algebraic, topological, and analytic properties of invariant subspaces, laying clear mathematical foundations for linear systems theory with a thorough treatment of analytic perturbation theory for matrix functions.

From the Publisher

A unique treatment of linear algebra which 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. Presents an algebraic treatment of control and systems theories. Written by a world-famous expert, this text contains material not previously published. Includes numerous exercises.

Edition details

• Publisher: Society for Industrial and Applied Mathematics
• Publication date: 2006
• ISBN 10: 089871608X
• ISBN 13: 9780898716085
• Binding: Paperback
• Language: English
• Edition number: 2
• Number of pages: 184