Linear Operators and Linear Systems

Factorization of Matrix and Operator Functions: The State Space Method

Authors: Bart, H., Gohberg, I., Kaashoek, M.A., Ran, A.

  • Lots of new material taking into account a number of recent results in state space factorization theory
  • Stronger emphasis on non-minimal factorization
  • Contains a substantial selection from the first book, in a reorganized and updated form
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eBook $149.00
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  • ISBN 978-3-7643-8268-1
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  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-3-7643-8267-4
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  • This title is currently reprinting. You can pre-order your copy now.
About this book

The present book deals with factorization problems for matrix and operator functions. The problems originate from, or are motivated by, the theory of non-selfadjoint operators, the theory of matrix polynomials, mathematical systems and control theory, the theory of Riccati equations, inversion of convolution operators, theory of job scheduling in operations research. The book systematically employs a geometric principle of factorization which has its origins in the state space theory of linear input-output systems and in the theory of characteristic operator functions. This principle allows one to deal with different factorizations from one point of view. Covered are canonical factorization, minimal and non-minimal factorizations, pseudo-canonical factorization, and various types of degree one factorization.

Considerable attention is given to the matter of stability of factorization which in terms of the state space method involves stability of invariant subspaces.invariant subspaces.

Table of contents (16 chapters)

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-3-7643-8268-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-3-7643-8267-4
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
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Bibliographic Information

Bibliographic Information
Book Title
Factorization of Matrix and Operator Functions: The State Space Method
Authors
Series Title
Linear Operators and Linear Systems
Series Volume
178
Copyright
2008
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-8268-1
DOI
10.1007/978-3-7643-8268-1
Hardcover ISBN
978-3-7643-8267-4
Edition Number
1
Number of Pages
XII, 412
Topics