The Resource Analyzing Markov Chains using Kronecker Products : Theory and Applications, by Tugrul Dayar, (electronic resource)

Analyzing Markov Chains using Kronecker Products : Theory and Applications, by Tugrul Dayar, (electronic resource)

Label
Analyzing Markov Chains using Kronecker Products : Theory and Applications
Title
Analyzing Markov Chains using Kronecker Products
Title remainder
Theory and Applications
Statement of responsibility
by Tugrul Dayar
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
Kronecker products are used to define the underlying Markov chain (MC) in various modeling formalisms, including compositional Markovian models, hierarchical Markovian models, and stochastic process algebras. The motivation behind using a Kronecker structured representation rather than a flat one is to alleviate the storage requirements associated with the MC. With this approach, systems that are an order of magnitude larger can be analyzed on the same platform. The developments in the solution of such MCs are reviewed from an algebraic point of view and possible areas for further research are indicated with an emphasis on preprocessing using reordering, grouping, and lumping and numerical analysis using block iterative, preconditioned projection, multilevel, decompositional, and matrix analytic methods. Case studies from closed queueing networks and stochastic chemical kinetics are provided to motivate decompositional and matrix analytic methods, respectively
Member of
http://library.link/vocab/creatorName
Dayar, Tugrul
Dewey number
512.9434
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
ndJ0NAkw-3c
Language note
English
LC call number
  • QA273.A1-274.9
  • QA274-274.9
Literary form
non fiction
Nature of contents
dictionaries
Series statement
SpringerBriefs in Mathematics,
http://library.link/vocab/subjectName
  • Distribution (Probability theory
  • Numerical analysis
  • Computer science
  • Probability Theory and Stochastic Processes
  • Numerical Analysis
  • Probability and Statistics in Computer Science
Label
Analyzing Markov Chains using Kronecker Products : Theory and Applications, by Tugrul Dayar, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Introduction -- Background -- Kronecker representation -- Preprocessing -- Block iterative methods for Kronecker products -- Preconditioned projection methods -- Multilevel methods -- Decompositional methods -- Matrix analytic methods
Dimensions
unknown
Edition
1st ed. 2012.
Extent
1 online resource (90 p.)
Form of item
online
Isbn
9781283533201
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4614-4190-8
Specific material designation
remote
System control number
  • (CKB)2670000000231454
  • (EBL)973240
  • (OCoLC)804664660
  • (SSID)ssj0000740484
  • (PQKBManifestationID)11444407
  • (PQKBTitleCode)TC0000740484
  • (PQKBWorkID)10700324
  • (PQKB)11325884
  • (DE-He213)978-1-4614-4190-8
  • (MiAaPQ)EBC973240
  • (EXLCZ)992670000000231454
Label
Analyzing Markov Chains using Kronecker Products : Theory and Applications, by Tugrul Dayar, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Introduction -- Background -- Kronecker representation -- Preprocessing -- Block iterative methods for Kronecker products -- Preconditioned projection methods -- Multilevel methods -- Decompositional methods -- Matrix analytic methods
Dimensions
unknown
Edition
1st ed. 2012.
Extent
1 online resource (90 p.)
Form of item
online
Isbn
9781283533201
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4614-4190-8
Specific material designation
remote
System control number
  • (CKB)2670000000231454
  • (EBL)973240
  • (OCoLC)804664660
  • (SSID)ssj0000740484
  • (PQKBManifestationID)11444407
  • (PQKBTitleCode)TC0000740484
  • (PQKBWorkID)10700324
  • (PQKB)11325884
  • (DE-He213)978-1-4614-4190-8
  • (MiAaPQ)EBC973240
  • (EXLCZ)992670000000231454

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