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)

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
Creator
Contributor
Author
Author
Subject
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 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
Member of
Is Subseries of
http://library.link/vocab/creatorName
Bart, Harm
Dewey number
512.9434
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • lRMe8k2gFhA
  • SAmuLHl5J6I
  • BUu_RFr-lYs
  • 5DKt7vZi63c
Language note
English
LC call number
QA329-329.9
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)
Instantiates
Publication
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 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
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
10.1007/978-3-7643-8268-1
Specific material designation
remote
System control number
  • (CKB)1000000000401439
  • (EBL)338235
  • (OCoLC)370725310
  • (SSID)ssj0000152855
  • (PQKBManifestationID)11165171
  • (PQKBTitleCode)TC0000152855
  • (PQKBWorkID)10392898
  • (PQKB)11649010
  • (DE-He213)978-3-7643-8268-1
  • (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)
Publication
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 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
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
10.1007/978-3-7643-8268-1
Specific material designation
remote
System control number
  • (CKB)1000000000401439
  • (EBL)338235
  • (OCoLC)370725310
  • (SSID)ssj0000152855
  • (PQKBManifestationID)11165171
  • (PQKBTitleCode)TC0000152855
  • (PQKBWorkID)10392898
  • (PQKB)11649010
  • (DE-He213)978-3-7643-8268-1
  • (EXLCZ)991000000000401439

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