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The Resource Factorization of matrix and operator functions : the state space method, Harm Bart [and others]

Factorization of matrix and operator functions : the state space method, Harm Bart [and others]

Label
Factorization of matrix and operator functions : the state space method
Title
Factorization of matrix and operator functions
Title remainder
the state space method
Statement of responsibility
Harm Bart [and others]
Contributor
Subject
Language
eng
Summary
"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."--Jacket
Member of
Cataloging source
GW5XE
Dewey number
515/.7246
Index
index present
Language note
English
LC call number
QA329.2
LC item number
.F33 2008eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1942-
http://library.link/vocab/relatedWorkOrContributorName
Bart, H.
Series statement
  • Operator theory, advances and applications
  • Linear operators & linear systems
Series volume
v. 178.
http://library.link/vocab/subjectName
  • Matrices
  • Operator-valued functions
  • Factorization (Mathematics)
  • State-space methods
  • Matrices
  • Fonctions à valeurs opératorielles
  • Factorisation
  • Méthodes de l'espace état
  • MATHEMATICS
  • Factorization (Mathematics)
  • State-space methods
  • Matrices
  • Fonctions à valeurs opératorielles
  • Factorisation
  • Espace état, Méthodes de l'
  • Operator-valued functions
  • Factorization (Mathematics)
  • Matrices
  • Operator-valued functions
  • State-space methods
Label
Factorization of matrix and operator functions : the state space method, Harm Bart [and others]
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 393-400)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Motivating Problems, Systems and Realizations -- Motivating Problems -- Operator Nodes, Systems, and Operations on Systems -- Various Classes of Systems -- Realization and Linearization of Operator Functions -- Factorization and Riccati Equations -- Canonical Factorization and Applications -- Minimal Realization and Minimal Factorization -- Minimal Systems -- Minimal Realizations and Pole-Zero Structure -- Minimal Factorization of Rational Matrix Functions -- Degree One Factors, Companion Based Rational Matrix Functions, and Job Scheduling -- Factorization into Degree One Factors -- Complete Factorization of Companion Based Matrix Functions -- Quasicomplete Factorization and Job Scheduling -- Stability of Factorization and of Invariant Subspaces -- Stability of Spectral Divisors -- Stability of Divisors -- Factorization of Real Matrix Functions
Control code
233974107
Dimensions
unknown
Extent
1 online resource (xii, 409 pages).
Form of item
online
Isbn
9783764382674
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-7643-8268-1
http://library.link/vocab/ext/overdrive/overdriveId
978-3-7643-8267-4
Specific material designation
remote
System control number
(OCoLC)233974107
Label
Factorization of matrix and operator functions : the state space method, Harm Bart [and others]
Publication
Bibliography note
Includes bibliographical references (pages 393-400)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Motivating Problems, Systems and Realizations -- Motivating Problems -- Operator Nodes, Systems, and Operations on Systems -- Various Classes of Systems -- Realization and Linearization of Operator Functions -- Factorization and Riccati Equations -- Canonical Factorization and Applications -- Minimal Realization and Minimal Factorization -- Minimal Systems -- Minimal Realizations and Pole-Zero Structure -- Minimal Factorization of Rational Matrix Functions -- Degree One Factors, Companion Based Rational Matrix Functions, and Job Scheduling -- Factorization into Degree One Factors -- Complete Factorization of Companion Based Matrix Functions -- Quasicomplete Factorization and Job Scheduling -- Stability of Factorization and of Invariant Subspaces -- Stability of Spectral Divisors -- Stability of Divisors -- Factorization of Real Matrix Functions
Control code
233974107
Dimensions
unknown
Extent
1 online resource (xii, 409 pages).
Form of item
online
Isbn
9783764382674
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-7643-8268-1
http://library.link/vocab/ext/overdrive/overdriveId
978-3-7643-8267-4
Specific material designation
remote
System control number
(OCoLC)233974107

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