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]
Resource Information
The item Factorization of matrix and operator functions : the state space method, Harm Bart [and others] represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Factorization of matrix and operator functions : the state space method, Harm Bart [and others] represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (xii, 409 pages).
- 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
- Isbn
- 9783764382681
- 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]
- Subject
-
- State-space methods
- Espace état, Méthodes de l'
- Factorisation
- Factorisation
- Factorization (Mathematics)
- Factorization (Mathematics)
- Factorization (Mathematics)
- Factorization (Mathematics)
- Fonctions à valeurs opératorielles
- Fonctions à valeurs opératorielles
- MATHEMATICS -- Functional Analysis
- Matrices
- Matrices
- Matrices
- Matrices
- Méthodes de l'espace état
- Operator-valued functions
- Operator-valued functions
- Operator-valued functions
- Operator-valued functions
- State-space methods
- State-space methods
- State-space methods
- 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
- 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]
- 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
- 9783764382681
- 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]
- 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
- 9783764382681
- 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
Subject
- State-space methods
- Espace état, Méthodes de l'
- Factorisation
- Factorisation
- Factorization (Mathematics)
- Factorization (Mathematics)
- Factorization (Mathematics)
- Factorization (Mathematics)
- Fonctions à valeurs opératorielles
- Fonctions à valeurs opératorielles
- MATHEMATICS -- Functional Analysis
- Matrices
- Matrices
- Matrices
- Matrices
- Méthodes de l'espace état
- Operator-valued functions
- Operator-valued functions
- Operator-valued functions
- Operator-valued functions
- State-space methods
- State-space methods
- State-space methods
Member of
- Operator theory, advances and applications, v. 178
- Ebook Central Academic Complete
- Operator theory, advances and applications, Linear operators and linear systems
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Factorization-of-matrix-and-operator-functions-/dJsC89NqDKA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Factorization-of-matrix-and-operator-functions-/dJsC89NqDKA/">Factorization of matrix and operator functions : the state space method, Harm Bart [and others]</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
