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20140310151448.0 |
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120723s2012 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781461441908 |
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978-1-4614-4190-8 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA273.A1-274.9 |
|
|---|
| Classification number |
QA274-274.9 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
519.2 |
| Edition number |
23 |
| 264 #1 - |
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| -- |
New York, NY : |
| -- |
Springer New York : |
| -- |
Imprint: Springer, |
| -- |
2012. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Dayar, Tuğrul. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Analyzing Markov Chains using Kronecker Products |
| Medium |
[electronic resource] : |
| Remainder of title |
Theory and Applications / |
| Statement of responsibility, etc |
by Tuğrul Dayar. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
IX, 86 p. 3 illus. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
SpringerBriefs in Mathematics, |
| International Standard Serial Number |
2191-8198 |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Introduction -- Background -- Kronecker representation -- Preprocessing -- Block iterative methods for Kronecker products -- Preconditioned projection methods -- Multilevel methods -- Decompositional methods -- Matrix analytic methods. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics. |
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| Topical term or geographic name as entry element |
Computer science. |
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|---|
| Topical term or geographic name as entry element |
Numerical analysis. |
|
|---|
| Topical term or geographic name as entry element |
Distribution (Probability theory). |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Probability Theory and Stochastic Processes. |
|
|---|
| Topical term or geographic name as entry element |
Numerical Analysis. |
|
|---|
| Topical term or geographic name as entry element |
Probability and Statistics in Computer Science. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
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| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9781461441892 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4614-4190-8 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
