Invariant Subspaces of Matrices with Applications

Front Cover
SIAM, Mar 1, 2006 - Mathematics - 713 pages
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.
 

Contents

CL51_introduction
2
CL51_pt1
4
CL51_ch1
5
CL51_ch2
45
CL51_ch3
105
CL51_ch4
121
CL51_ch5
144
CL51_ch6
189
CL51_ch12
359
CL51_pt3
385
CL51_ch13
387
CL51_ch14
423
CL51_ch15
444
CL51_ch16
482
CL51_ch17
514
CL51_pt4
563

CL51_ch7
212
CL51_ch8
262
CL51_pt2
293
CL51_ch9
295
CL51_ch10
316
CL51_ch11
339
CL51_ch18
565
CL51_ch19
604
CL51_ch20
624
CL51_appendixa
646
CL51_backmatter
679
Copyright

Other editions - View all

Common terms and phrases

About the author (2006)

Israel Gohberg is Professor Emeritus at Tel-Aviv University and Free University of Amsterdam, and Dr. Honoris Causa at several European universities. He has contributed to the fields of functional analysis and operator theory, systems theory, matrix analysis and linear algebra, and computational techniques for integral equations and structured matrices. He has coauthored 25 books.Peter Lancaster is a Faculty Professor and Professor Emeritus at the University of Calgary and Honorary Research Fellow of the University of Manchester. He has published prolifically in matrix and operator theory and in many of their applications in numerical analysis, mechanics, and other fields.Leiba Rodman is Professor of Mathematics at the College of William and Mary and has done extensive work in matrix analysis, operator theory, and related fields. He has authored one book and coauthored six others.

Bibliographic information