Invariant Subspaces of Matrices with Applications

Israel Gohberg · Peter Lancaster · Leiba Rodman

Mar 2006 · SIAM

About this ebook

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 the author

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.