Overview
- Second book which is devoted to the state space factorization theory; the first appeared in 1979 as volume 1 of this book series; it contains a substantial selection from the first book, in a reorganized and updated form
- An entirely new part is devoted to the theory of factorization into degree one factors and its connection to the combinatorial problem of job scheduling in operations research; it is completely finite dimensional and can be considered as a new advanced chapter of Linear Algebra and its Applications
- Almost each chapter offers new elements and in many cases new sections, taking into account a number of new results in state space factorization theory and its applications that have appeared in the period of 25 years after publication of the first book
- Stronger emphasis on non-minimal factorization
- Includes supplementary material: sn.pub/extras
Part of the book series: Operator Theory: Advances and Applications (OT, volume 178)
Part of the book sub series: Linear Operators and Linear Systems (LOLS)
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Table of contents (16 chapters)
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Introduction
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Motivating Problems, Systems and Realizations
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Minimal Realization and Minimal Factorization
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Degree One Factors, Companion Based Rational Matrix Functions, and Job Scheduling
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Stability of Factorization and of Invariant Subspaces
Keywords
About this book
Authors and Affiliations
Bibliographic Information
Book Title: Factorization of Matrix and Operator Functions: The State Space Method
Authors: Harm Bart, André C. M. Ran, Israel Gohberg, Marinus A. Kaashoek
Series Title: Operator Theory: Advances and Applications
DOI: https://doi.org/10.1007/978-3-7643-8268-1
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2008
Hardcover ISBN: 978-3-7643-8267-4Published: 19 October 2007
eBook ISBN: 978-3-7643-8268-1Published: 20 December 2007
Series ISSN: 0255-0156
Series E-ISSN: 2296-4878
Edition Number: 1
Number of Pages: XII, 412
Topics: Operator Theory, Linear and Multilinear Algebras, Matrix Theory, Number Theory