Nonnegative matrices in the mathematical sciences:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics
1994
|
| Ausgabe: | Revised, with supplementary material added in a new Chapter 11 |
| Schriftenreihe: | Classics in applied mathematics
9 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1137/1.9781611971262 https://doi.org/10.1137/1.9781611971262 https://doi.org/10.1137/1.9781611971262 https://doi.org/10.1137/1.9781611971262 https://doi.org/10.1137/1.9781611971262 |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 315-336) and index Chapter 1. Matrices which leave a cone invariant -- Chapter 2. Nonnegative matrices -- Chapter 3. Semigroups of nonnegative matrices -- Chapter 4. Symmetric nonnegative matrices -- Chapter 5. Generalized inverse- positivity -- Chapter 6. M-matrices -- Chapter 7. Iterative methods for linear systems -- Chapter 8. Finite Markov chains -- Chapter 9. Input-output analysis in economics -- Chapter 10. The linear complementarity problem -- Chapter 11. Supplement 1979-1993 -- References -- Index Here is a valuable text and research tool for scientists and engineers who use or work with theory and computation associated with practical problems relating to Markov chains and queuing networks, economic analysis, or mathematical programming. Originally published in 1979, this new edition adds material that updates the subject relative to developments from 1979 to 1993. Theory and applications of nonnegative matrices are blended here, and extensive references are included in each area. You will be led from the theory of positive operators via the Perron-Frobenius theory of nonnegative matrices and the theory of inverse positivity, to the widely used topic of M-matrices. On the way, semigroups of nonnegative matrices and symmetric nonnegative matrices are discussed. Later, applications of nonnegativity and M-matrices are given; for numerical analysis the example is convergence theory of iterative methods, for probability and statistics the examples are finite Markov chains and queuing network models, for mathematical economics the example is input-output models, and for mathematical programming the example is the linear complementarity problem. Nonnegativity constraints arise very naturally throughout the physical world. Engineers, applied mathematicians, and scientists who encounter nonnegativity or generalizations of nonegativity in their work will benefit from topics covered here, connecting them to relevant theory. Researchers in one area, such as queuing theory, may find useful the techniques involving nonnegative matrices used by researchers in another area, say, mathematical programming. Exercises and biographical notes are included with each chapter |
| Umfang: | 1 Online-Ressource (xx, 340 Seiten) |
| ISBN: | 0898713218 9780898713213 |
| DOI: | 10.1137/1.9781611971262 |
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| 250 | |a Revised, with supplementary material added in a new Chapter 11 | ||
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| 500 | |a Includes bibliographical references (s. 315-336) and index | ||
| 500 | |a Chapter 1. Matrices which leave a cone invariant -- Chapter 2. Nonnegative matrices -- Chapter 3. Semigroups of nonnegative matrices -- Chapter 4. Symmetric nonnegative matrices -- Chapter 5. Generalized inverse- positivity -- Chapter 6. M-matrices -- Chapter 7. Iterative methods for linear systems -- Chapter 8. Finite Markov chains -- Chapter 9. Input-output analysis in economics -- Chapter 10. The linear complementarity problem -- Chapter 11. Supplement 1979-1993 -- References -- Index | ||
| 500 | |a Here is a valuable text and research tool for scientists and engineers who use or work with theory and computation associated with practical problems relating to Markov chains and queuing networks, economic analysis, or mathematical programming. Originally published in 1979, this new edition adds material that updates the subject relative to developments from 1979 to 1993. Theory and applications of nonnegative matrices are blended here, and extensive references are included in each area. You will be led from the theory of positive operators via the Perron-Frobenius theory of nonnegative matrices and the theory of inverse positivity, to the widely used topic of M-matrices. On the way, semigroups of nonnegative matrices and symmetric nonnegative matrices are discussed. Later, applications of nonnegativity and M-matrices are given; for numerical analysis the example is convergence theory of iterative methods, for probability and statistics the examples are finite Markov chains and queuing network models, for mathematical economics the example is input-output models, and for mathematical programming the example is the linear complementarity problem. Nonnegativity constraints arise very naturally throughout the physical world. Engineers, applied mathematicians, and scientists who encounter nonnegativity or generalizations of nonegativity in their work will benefit from topics covered here, connecting them to relevant theory. Researchers in one area, such as queuing theory, may find useful the techniques involving nonnegative matrices used by researchers in another area, say, mathematical programming. Exercises and biographical notes are included with each chapter | ||
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1137/1.9781611971262 |
| edition | Revised, with supplementary material added in a new Chapter 11 |
| format | Electronic eBook |
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| id | DE-604.BV039747309 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T16:01:25Z |
| institution | BVB |
| isbn | 0898713218 9780898713213 |
| language | English |
| lccn | 94037449 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024594840 |
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| owner_facet | DE-91 DE-BY-TUM DE-29 DE-706 DE-83 DE-20 |
| physical | 1 Online-Ressource (xx, 340 Seiten) |
| psigel | ZDB-72-SIA |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Society for Industrial and Applied Mathematics |
| record_format | marc |
| series | Classics in applied mathematics |
| series2 | Classics in applied mathematics |
| spellingShingle | Berman, Abraham 1943- Nonnegative matrices in the mathematical sciences Classics in applied mathematics Non-negative matrices Nichtnegative Matrix (DE-588)4310434-4 gnd Matrix Mathematik (DE-588)4037968-1 gnd Matrizenrechnung (DE-588)4126963-9 gnd |
| subject_GND | (DE-588)4310434-4 (DE-588)4037968-1 (DE-588)4126963-9 |
| title | Nonnegative matrices in the mathematical sciences |
| title_auth | Nonnegative matrices in the mathematical sciences |
| title_exact_search | Nonnegative matrices in the mathematical sciences |
| title_full | Nonnegative matrices in the mathematical sciences Abraham Berman, Robert J. Plemmons |
| title_fullStr | Nonnegative matrices in the mathematical sciences Abraham Berman, Robert J. Plemmons |
| title_full_unstemmed | Nonnegative matrices in the mathematical sciences Abraham Berman, Robert J. Plemmons |
| title_short | Nonnegative matrices in the mathematical sciences |
| title_sort | nonnegative matrices in the mathematical sciences |
| topic | Non-negative matrices Nichtnegative Matrix (DE-588)4310434-4 gnd Matrix Mathematik (DE-588)4037968-1 gnd Matrizenrechnung (DE-588)4126963-9 gnd |
| topic_facet | Non-negative matrices Nichtnegative Matrix Matrix Mathematik Matrizenrechnung |
| url | https://doi.org/10.1137/1.9781611971262 |
| volume_link | (DE-604)BV040633091 |
| work_keys_str_mv | AT bermanabraham nonnegativematricesinthemathematicalsciences AT plemmonsrobertj nonnegativematricesinthemathematicalsciences |