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The study of M-matrices, their inverses and discrete potential theory is now a well-established part of linear algebra and the theory of Markov chains. The main focus of this monograph is the so-called inverse M-matrix problem, which asks for a characterization of nonnegative matrices whose inverses are M-matrices. We present an answer in terms of discrete potential theory based on the Choquet-Deny Theorem. A distinguished subclass of inverse M-matrices is ultrametric matrices, which are important in applications such as taxonomy. Ultrametricity is revealed to be a relevant concept in linear algebra and discrete potential theory because of its relation with trees in graph theory and mean expected value matrices in probability theory. Remarkable properties of Hadamard functions and products for the class of inverse M-matrices are developed and probabilistic insights are provided throughout the monograph.
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The study of M-matrices, their inverses and discrete potential theory is now a well-established part of linear algebra and the theory of Markov chains. The main focus of this monograph is the so-called inverse M-matrix problem, which asks for a characterization of nonnegative matrices whose inverses are M-matrices. We present an answer in terms of discrete potential theory based on the Choquet-Deny Theorem. A distinguished subclass of inverse M-matrices is ultrametric matrices, which are important in applications such as taxonomy. Ultrametricity is revealed to be a relevant concept in linear algebra and discrete potential theory because of its relation with trees in graph theory and mean expected value matrices in probability theory. Remarkable properties of Hadamard functions and products for the class of inverse M-matrices are developed and probabilistic insights are provided throughout the monograph.
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Inverse M-Matrices and Ultrametric Matrices
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Inverse M-Matrices and Ultrametric Matrices (Lecture Notes.
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Inverse M-Matrices and Ultrametric Matrices
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Springer International Publishing, 2014
ISBN 10: 3319102974
ISBN 13: 9783319102979
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides a unified algebraic and probabilistic approachDescribes graphs and algorithms for inverse M-matricesGives examples and fields of applications of M-matricesThe study of M-matrices, their inverses and discrete potentia. Bestandsnummer des Verkäufers 4498718
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Inverse M-Matrices and Ultrametric Matrices (Lecture Notes.
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Inverse M-Matrices and Ultrametric Matrices (Lecture Notes.
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Inverse M-Matrices and Ultrametric Matrices
ISBN 10: 3319102974
ISBN 13: 9783319102979
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The study of M-matrices, their inverses and discrete potential theory is now a well-established part of linear algebra and the theory of Markov chains. The main focus of this monograph is the so-called inverse M-matrix problem, which asks for a characterization of nonnegative matrices whose inverses are M-matrices. We present an answer in terms of discrete potential theory based on the Choquet-Deny Theorem. A distinguished subclass of inverse M-matrices is ultrametric matrices, which are important in applications such as taxonomy. Ultrametricity is revealed to be a relevant concept in linear algebra and discrete potential theory because of its relation with trees in graph theory and mean expected value matrices in probability theory. Remarkable properties of Hadamard functions and products for the class of inverse M-matrices are developed and probabilistic insights are provided throughout the monograph. Bestandsnummer des Verkäufers 9783319102979
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Inverse M-Matrices and Ultrametric Matrices
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Springer International Publishing Dez 2014, 2014
ISBN 10: 3319102974
ISBN 13: 9783319102979
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The study of M-matrices, their inverses and discrete potential theory is now a well-established part of linear algebra and the theory of Markov chains. The main focus of this monograph is the so-called inverse M-matrix problem, which asks for a characterization of nonnegative matrices whose inverses are M-matrices. We present an answer in terms of discrete potential theory based on the Choquet-Deny Theorem. A distinguished subclass of inverse M-matrices is ultrametric matrices, which are important in applications such as taxonomy. Ultrametricity is revealed to be a relevant concept in linear algebra and discrete potential theory because of its relation with trees in graph theory and mean expected value matrices in probability theory. Remarkable properties of Hadamard functions and products for the class of inverse M-matrices are developed and probabilistic insights are provided throughout the monograph. 248 pp. Englisch. Bestandsnummer des Verkäufers 9783319102979
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Inverse M-Matrices and Ultrametric Matrices
ISBN 10: 3319102974
ISBN 13: 9783319102979
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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The study of M-matrices, their inverses and discrete potential theory is now a well-established part of linear algebra and the theory of Markov chains. The main focus of this monograph is the so-called inverse M-matrix problem, which asks for a characterization of nonnegative matrices whose inverses are M-matrices. We present an answer in terms of discrete potential theory based on the Choquet-Deny Theorem. A distinguished subclass of inverse M-matrices is ultrametric matrices, which are important in applications such as taxonomy. Ultrametricity is revealed to be a relevant concept in linear algebra and discrete potential theory because of its relation with trees in graph theory and mean expected value matrices in probability theory. Remarkable properties of Hadamard functions and products for the class of inverse M-matrices are developed and probabilistic insights are provided throughout the monograph.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 248 pp. Englisch. Bestandsnummer des Verkäufers 9783319102979
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Inverse M-Matrices and Ultrametric Matrices (Lecture Notes in Mathematics, 2118)
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Inverse M-Matrices and Ultrametric Matrices (Lecture Notes in Mathematics)
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Paperback. Zustand: New. Bestandsnummer des Verkäufers 6666-IUK-9783319102979
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