Inverse M Matrices And Ultrametric Matrices

Author : Claude Dellacherie
Publisher : Springer
ISBN 13 : 3319102982
Total Pages : 241 pages
Book Rating : 4.86/5 ( download)

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Download or read book Inverse M-Matrices and Ultrametric Matrices written by Claude Dellacherie and published by Springer. This book was released on 2014-11-14 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Charles R. Johnson
Publisher : Cambridge University Press
ISBN 13 : 1108478719
Total Pages : 223 pages
Book Rating : 4.17/5 ( download)

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Download or read book Matrix Positivity written by Charles R. Johnson and published by Cambridge University Press. This book was released on 2020-10 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive reference, for mathematical, engineering and social scientists, covers matrix positivity classes and their applications.

Author : Richard A. Brualdi
Publisher : Birkhäuser
ISBN 13 : 3319709534
Total Pages : 219 pages
Book Rating : 4.36/5 ( download)

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Download or read book Combinatorial Matrix Theory written by Richard A. Brualdi and published by Birkhäuser. This book was released on 2018-03-31 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the notes of the lectures delivered at an Advanced Course on Combinatorial Matrix Theory held at Centre de Recerca Matemàtica (CRM) in Barcelona. These notes correspond to five series of lectures. The first series is dedicated to the study of several matrix classes defined combinatorially, and was delivered by Richard A. Brualdi. The second one, given by Pauline van den Driessche, is concerned with the study of spectral properties of matrices with a given sign pattern. Dragan Stevanović delivered the third one, devoted to describing the spectral radius of a graph as a tool to provide bounds of parameters related with properties of a graph. The fourth lecture was delivered by Stephen Kirkland and is dedicated to the applications of the Group Inverse of the Laplacian matrix. The last one, given by Ángeles Carmona, focuses on boundary value problems on finite networks with special in-depth on the M-matrix inverse problem.

Author : Richard S Varga
Publisher : Springer Science & Business Media
ISBN 13 : 3642051561
Total Pages : 363 pages
Book Rating : 4.62/5 ( download)

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Download or read book Matrix Iterative Analysis written by Richard S Varga and published by Springer Science & Business Media. This book was released on 2009-12-05 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revised version of the first edition, regarded as a classic in its field. In some places, newer research results have been incorporated in the revision, and in other places, new material has been added to the chapters in the form of additional up-to-date references and some recent theorems to give readers some new directions to pursue.

Author : Abraham Berman
Publisher : SIAM
ISBN 13 : 0898713218
Total Pages : 357 pages
Book Rating : 4.13/5 ( download)

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Download or read book Nonnegative Matrices in the Mathematical Sciences written by Abraham Berman and published by SIAM. This book was released on 1994-01-01 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Author : Stephen J. Kirkland
Publisher : CRC Press
ISBN 13 : 1439888590
Total Pages : 330 pages
Book Rating : 4.99/5 ( download)

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Download or read book Group Inverses of M-Matrices and Their Applications written by Stephen J. Kirkland and published by CRC Press. This book was released on 2012-12-18 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group inverses for singular M-matrices are useful tools not only in matrix analysis, but also in the analysis of stochastic processes, graph theory, electrical networks, and demographic models. Group Inverses of M-Matrices and Their Applications highlights the importance and utility of the group inverses of M-matrices in several application areas.

Author : Tadashi Imaizumi
Publisher : Springer Nature
ISBN 13 : 9811527008
Total Pages : 472 pages
Book Rating : 4.05/5 ( download)

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Download or read book Advanced Studies in Behaviormetrics and Data Science written by Tadashi Imaizumi and published by Springer Nature. This book was released on 2020-04-17 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the latest developments in behaviormetrics and data science, covering a wide range of topics in data analysis and related areas of data science, including analysis of complex data, analysis of qualitative data, methods for high-dimensional data, dimensionality reduction, visualization of such data, multivariate statistical methods, analysis of asymmetric relational data, and various applications to real data. In addition to theoretical and methodological results, it also shows how to apply the proposed methods to a variety of problems, for example in consumer behavior, decision making, marketing data, and social network structures. Moreover, it discuses methodological aspects and applications in a wide range of areas, such as behaviormetrics; behavioral science; psychology; and marketing, management and social sciences. Combining methodological advances with real-world applications collected from a variety of research fields, the book is a valuable resource for researchers and practitioners, as well as for applied statisticians and data analysts.

Author : Luis A. García-Escudero
Publisher : Springer Nature
ISBN 13 : 3031155092
Total Pages : 421 pages
Book Rating : 4.93/5 ( download)

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Download or read book Building Bridges between Soft and Statistical Methodologies for Data Science written by Luis A. García-Escudero and published by Springer Nature. This book was released on 2022-08-24 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays, data analysis is becoming an appealing topic due to the emergence of new data types, dimensions, and sources. This motivates the development of probabilistic/statistical approaches and tools to cope with these data. Different communities of experts, namely statisticians, mathematicians, computer scientists, engineers, econometricians, and psychologists are more and more interested in facing this challenge. As a consequence, there is a clear need to build bridges between all these communities for Data Science. This book contains more than fifty selected recent contributions aiming to establish the above referred bridges. These contributions address very different and relevant aspects such as imprecise probabilities, information theory, random sets and random fuzzy sets, belief functions, possibility theory, dependence modelling and copulas, clustering, depth concepts, dimensionality reduction of complex data and robustness.

Author :
Publisher :
ISBN 13 :
Total Pages : 1884 pages
Book Rating : 4.58/5 ( download)

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Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1884 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Michael B. Marcus
Publisher : Springer Nature
ISBN 13 : 3030694852
Total Pages : 114 pages
Book Rating : 4.52/5 ( download)

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Download or read book Asymptotic Properties of Permanental Sequences written by Michael B. Marcus and published by Springer Nature. This book was released on 2021-03-30 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This SpringerBriefs employs a novel approach to obtain the precise asymptotic behavior at infinity of a large class of permanental sequences related to birth and death processes and autoregressive Gaussian sequences using techniques from the theory of Gaussian processes and Markov chains. The authors study alpha-permanental processes that are positive infinitely divisible processes determined by the potential density of a transient Markov process. When the Markov process is symmetric, a 1/2-permanental process is the square of a Gaussian process. Permanental processes are related by the Dynkin isomorphism theorem to the total accumulated local time of the Markov process when the potential density is symmetric, and by a generalization of the Dynkin theorem by Eisenbaum and Kaspi without requiring symmetry. Permanental processes are also related to chi square processes and loop soups. The book appeals to researchers and advanced graduate students interested in stochastic processes, infinitely divisible processes and Markov chains.