Invariant Subspaces of Matrices with Applications
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Author(s): I. Gohberg et al.
Publisher: SIAM
ISBN: 089871608X
Format: softback
692pp
Price: $113.00
Review Date: 09 May 2006
Review: This is the latest book in the SIAM Classics Series. In the last 50–60 years, developments in mathematics have led to innovations in linear algebra and matrix theory, such as the development of mathematical systems theory. Many new and important results in linear algebra can’t even be formulated without the notion of invariant subspaces of matrices or linear transformations. In this book on advanced linear algebra, invariant subspaces of matrices are the central notion, the main subject of research, and the main tool. Matrix theory is presented entirely on the basis of invariant subspaces, including the algebraic, geometric, topological, and analytical aspects of the theory. The first part of the book is in a textbook form that is easily accessible to graduates. It progresses to the level of a graduate text, and even a research monograph, leading up to the latest achievements in the field.