Nonnegative Matrices in the Mathematical Sciences

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Release : 1994-01-01
Genre : Mathematics
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Book Rating : 218/5 ( reviews)

Nonnegative Matrices in the Mathematical Sciences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonnegative Matrices in the Mathematical Sciences write by Abraham Berman. This book was released on 1994-01-01. Nonnegative Matrices in the Mathematical Sciences available in PDF, EPUB and Kindle. Mathematics of Computing -- Numerical Analysis.

Nonnegative Matrices in the Mathematical Sciences

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Release : 2014-05-10
Genre : Mathematics
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Book Rating : 860/5 ( reviews)

Nonnegative Matrices in the Mathematical Sciences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonnegative Matrices in the Mathematical Sciences write by Abraham Berman. This book was released on 2014-05-10. Nonnegative Matrices in the Mathematical Sciences available in PDF, EPUB and Kindle. Nonnegative Matrices in the Mathematical Sciences provides information pertinent to the fundamental aspects of the theory of nonnegative matrices. This book describes selected applications of the theory to numerical analysis, probability, economics, and operations research. Organized into 10 chapters, this book begins with an overview of the properties of nonnegative matrices. This text then examines the inverse-positive matrices. Other chapters consider the basic approaches to the study of nonnegative matrices, namely, geometrical and combinatorial. This book discusses as well some useful ideas from the algebraic theory of semigroups and considers a canonical form for nonnegative idempotent matrices and special types of idempotent matrices. The final chapter deals with the linear complementary problem (LCP). This book is a valuable resource for mathematical economists, mathematical programmers, statisticians, mathematicians, and computer scientists.

Totally Nonnegative Matrices

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Release : 2011-04-11
Genre : Mathematics
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Book Rating : 017/5 ( reviews)

Totally Nonnegative Matrices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Totally Nonnegative Matrices write by Shaun M. Fallat. This book was released on 2011-04-11. Totally Nonnegative Matrices available in PDF, EPUB and Kindle. Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices, defined by the nonnegativity of all subdeterminants. It explores methodological background, historical highlights of key ideas, and specialized topics. The book uses classical and ad hoc tools, but a unifying theme is the elementary bidiagonal factorization, which has emerged as the single most important tool for this particular class of matrices. Recent work has shown that bidiagonal factorizations may be viewed in a succinct combinatorial way, leading to many deep insights. Despite slow development, bidiagonal factorizations, along with determinants, now provide the dominant methodology for understanding total nonnegativity. The remainder of the book treats important topics, such as recognition of totally nonnegative or totally positive matrices, variation diminution, spectral properties, determinantal inequalities, Hadamard products, and completion problems associated with totally nonnegative or totally positive matrices. The book also contains sample applications, an up-to-date bibliography, a glossary of all symbols used, an index, and related references.

Nonnegative Matrices, Positive Operators, And Applications

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Release : 2009-08-24
Genre : Mathematics
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Book Rating : 43X/5 ( reviews)

Nonnegative Matrices, Positive Operators, And Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonnegative Matrices, Positive Operators, And Applications write by Aihui Zhou. This book was released on 2009-08-24. Nonnegative Matrices, Positive Operators, And Applications available in PDF, EPUB and Kindle. Nonnegative matrices and positive operators are widely applied in science, engineering, and technology. This book provides the basic theory and several typical modern science and engineering applications of nonnegative matrices and positive operators, including the fundamental theory, methods, numerical analysis, and applications in the Google search engine, computational molecular dynamics, and wireless communications.Unique features of this book include the combination of the theories of nonnegative matrices and positive operators as well as the emphasis on applications of nonnegative matrices in the numerical analysis of positive operators, such as Markov operators and Frobenius-Perron operators both of which play key roles in the statistical and stochastic studies of dynamical systems.It can be used as a textbook for an upper level undergraduate or beginning graduate course in advanced matrix theory and/or positive operators as well as for an advanced topics course in operator theory or ergodic theory. In addition, it serves as a good reference for researchers in mathematical sciences, physical sciences, and engineering.

Matrix Iterative Analysis

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Release : 2009-12-05
Genre : Mathematics
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Book Rating : 561/5 ( reviews)

Matrix Iterative Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Matrix Iterative Analysis write by Richard S Varga. This book was released on 2009-12-05. Matrix Iterative Analysis available in PDF, EPUB and Kindle. 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.