Verwandte Artikel zu Combinatorics of Nonnegative Matrices (Translations...
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Explores the relationship between nonnegative matrices and the various mathematical structures of combinatorics. The authors first study classes of nonnegative matrices of identical form and with identical numbers of positive elements in rows and columns, extremal combinatorial problems related to nonnegative matrices, and asymptotic methods. They then consider the integral properties of nonnegative matrices related to indecomposability and chainability, and analyze the behavior of powers of nonnegative matrices as the exponent grows to infinity. The original Russian version was published in 2000. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Combinatorics of Nonnegative Matrices (Translations of Mathematical Monographs)
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Combinatorics of Nonnegative Matrices
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American Mathematical Society, US, 2002
ISBN 10: 082182788X
ISBN 13: 9780821827888
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Hardback. Zustand: New. The variety of combinatorial properties of nonnegative matrices is widely discussed in the mathematical literature, and there are many papers on this topic. However, there are few monographs devoted to these properties of nonnegative matrices. This book fills that gap and presents a summary of the existing material. It provides a good entry point into the subject and includes exercises to aid students. The authors focus on the relation of matrices with nonnegative elements to various mathematical structures studied in combinatorics. In addition to applications in graph theory, Markov chains, tournaments, and abstract automata, the authors consider relations between nonnegative matrices and structures such as coverings and minimal coverings of sets by families of subsets. They also give considerable attention to the study of various properties of matrices and to the classes formed by matrices with a given structure.The authors discuss enumerative problems using both combinatorial and probabilistic methods. It also considers extremal problems related to matrices and problems where nonnegative matrices provide suitable investigative tools. This book was developed for the most part as a theoretical research text, keeping in mind applications of nonnegative matrices. Among the applications, the most significant included are in the theory of Markov chains, in linear programming for constructing and analyzing economic models, and in information theory for designing reliable information devices. The book is suitable for specialists in these areas of engineering and the applied sciences. The book contains some classical theorems and a significant number of results not previously published in monograph form, including results obtained by the authors in the last few years. It is appropriate for graduate students and researchers interested in combinatorics and its applications. Bestandsnummer des Verkäufers LU-9780821827888
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Combinatorics of Nonnegative Matrices (Translations of Mathematical Monographs)
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Combinatorics of Nonnegative Matrices
Verlag:
American Mathematical Society, US, 2002
ISBN 10: 082182788X
ISBN 13: 9780821827888
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Hardback. Zustand: New. The variety of combinatorial properties of nonnegative matrices is widely discussed in the mathematical literature, and there are many papers on this topic. However, there are few monographs devoted to these properties of nonnegative matrices. This book fills that gap and presents a summary of the existing material. It provides a good entry point into the subject and includes exercises to aid students. The authors focus on the relation of matrices with nonnegative elements to various mathematical structures studied in combinatorics. In addition to applications in graph theory, Markov chains, tournaments, and abstract automata, the authors consider relations between nonnegative matrices and structures such as coverings and minimal coverings of sets by families of subsets. They also give considerable attention to the study of various properties of matrices and to the classes formed by matrices with a given structure.The authors discuss enumerative problems using both combinatorial and probabilistic methods. It also considers extremal problems related to matrices and problems where nonnegative matrices provide suitable investigative tools. This book was developed for the most part as a theoretical research text, keeping in mind applications of nonnegative matrices. Among the applications, the most significant included are in the theory of Markov chains, in linear programming for constructing and analyzing economic models, and in information theory for designing reliable information devices. The book is suitable for specialists in these areas of engineering and the applied sciences. The book contains some classical theorems and a significant number of results not previously published in monograph form, including results obtained by the authors in the last few years. It is appropriate for graduate students and researchers interested in combinatorics and its applications. Bestandsnummer des Verkäufers LU-9780821827888
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Combinatorics of Nonnegative Matrices (Translations of Mathematical Monographs)
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Zustand: New. Focuses on the relation of matrices with nonnegative elements to various mathematical structures studied in combinatorics. This work considers relations between nonnegative matrices and structures such as coverings and minimal coverings of sets by families of subsets. It discusses enumerative problems using combinatorial and probabilistic methods. Series: Translations of Mathematical Monographs Reprint. Num Pages: 269 pages, bibliography, index. BIC Classification: PBF; PBPD; PBV; UYA; UYD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 230. Weight in Grams: 697. . 2002. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821827888
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Combinatorics of Nonnegative Matrices (Translations of Mathematical Monographs)
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American Mathematical Society, 2002
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ISBN 13: 9780821827888
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Zustand: New. Focuses on the relation of matrices with nonnegative elements to various mathematical structures studied in combinatorics. This work considers relations between nonnegative matrices and structures such as coverings and minimal coverings of sets by families of subsets. It discusses enumerative problems using combinatorial and probabilistic methods. Series: Translations of Mathematical Monographs Reprint. Num Pages: 269 pages, bibliography, index. BIC Classification: PBF; PBPD; PBV; UYA; UYD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 230. Weight in Grams: 697. . 2002. Hardcover. . . . . Bestandsnummer des Verkäufers V9780821827888
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Combinatorics of Nonnegative Matrices (Translations of Mathematical Monographs) Tarakanov V., E., Nikolaevich Sachkov Vladimir and F. Kolchin Valentin
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Zustand: gut. 2002. Combinatorics of Nonnegative Matrices (Translations of Mathematical Monographs) In englischer Sprache. pages. Bestandsnummer des Verkäufers BN574602
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