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The Resource Factorization of Matrix and Operator Functions: The State Space Method, by Harm Bart, Israel Gohberg, Marinus A. Kaashoek, André C.M. Ran, (electronic resource)
Factorization of Matrix and Operator Functions: The State Space Method, by Harm Bart, Israel Gohberg, Marinus A. Kaashoek, André C.M. Ran, (electronic resource)
Resource Information
The item Factorization of Matrix and Operator Functions: The State Space Method, by Harm Bart, Israel Gohberg, Marinus A. Kaashoek, André C.M. Ran, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Factorization of Matrix and Operator Functions: The State Space Method, by Harm Bart, Israel Gohberg, Marinus A. Kaashoek, André C.M. Ran, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 The present book deals with factorization problems for matrix and operator functions. The problems originate from, or are motivated by, the theory of nonselfadjoint 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 inputoutput 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 nonminimal factorizations, pseudocanonical 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
 Language

 eng
 eng
 Edition
 1st ed. 2008.
 Extent
 1 online resource (420 p.)
 Note
 Description based upon print version of record
 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 PoleZero 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
 9786611140984
 Label
 Factorization of Matrix and Operator Functions: The State Space Method
 Title
 Factorization of Matrix and Operator Functions: The State Space Method
 Statement of responsibility
 by Harm Bart, Israel Gohberg, Marinus A. Kaashoek, André C.M. Ran
 Language

 eng
 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 nonselfadjoint 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 inputoutput 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 nonminimal factorizations, pseudocanonical 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
 http://library.link/vocab/creatorName
 Bart, Harm
 Dewey number
 512.9434
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 lRMe8k2gFhA
 SAmuLHl5J6I
 BUu_RFrlYs
 5DKt7vZi63c
 Language note
 English
 LC call number
 QA329329.9
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Gohberg, Israel.
 Kaashoek, Marinus A.
 Ran, André C.M.
 Series statement
 Linear Operators and Linear Systems,
 Series volume
 178
 http://library.link/vocab/subjectName

 Operator theory
 Matrix theory
 Number theory
 Operator Theory
 Linear and Multilinear Algebras, Matrix Theory
 Number Theory
 Label
 Factorization of Matrix and Operator Functions: The State Space Method, by Harm Bart, Israel Gohberg, Marinus A. Kaashoek, André C.M. Ran, (electronic resource)
 Note
 Description based upon print version of record
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 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 PoleZero 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
 Dimensions
 unknown
 Edition
 1st ed. 2008.
 Extent
 1 online resource (420 p.)
 Form of item
 online
 Isbn
 9786611140984
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783764382681
 Specific material designation
 remote
 System control number

 (CKB)1000000000401439
 (EBL)338235
 (OCoLC)370725310
 (SSID)ssj0000152855
 (PQKBManifestationID)11165171
 (PQKBTitleCode)TC0000152855
 (PQKBWorkID)10392898
 (PQKB)11649010
 (DEHe213)9783764382681
 (EXLCZ)991000000000401439
 Label
 Factorization of Matrix and Operator Functions: The State Space Method, by Harm Bart, Israel Gohberg, Marinus A. Kaashoek, André C.M. Ran, (electronic resource)
 Note
 Description based upon print version of record
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 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 PoleZero 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
 Dimensions
 unknown
 Edition
 1st ed. 2008.
 Extent
 1 online resource (420 p.)
 Form of item
 online
 Isbn
 9786611140984
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783764382681
 Specific material designation
 remote
 System control number

 (CKB)1000000000401439
 (EBL)338235
 (OCoLC)370725310
 (SSID)ssj0000152855
 (PQKBManifestationID)11165171
 (PQKBTitleCode)TC0000152855
 (PQKBWorkID)10392898
 (PQKB)11649010
 (DEHe213)9783764382681
 (EXLCZ)991000000000401439
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/FactorizationofMatrixandOperatorFunctions/zUwFCEdfi6c/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/FactorizationofMatrixandOperatorFunctions/zUwFCEdfi6c/">Factorization of Matrix and Operator Functions: The State Space Method, by Harm Bart, Israel Gohberg, Marinus A. Kaashoek, André C.M. Ran, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>