Nonnegative Matrices In The Mathematical Sciences PDF Download
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Author | : Abraham Berman |
Publisher | : SIAM |
Total Pages | : 357 |
Release | : 1994-01-01 |
Genre | : Mathematics |
ISBN | : 0898713218 |
Download Nonnegative Matrices in the Mathematical Sciences Book in PDF, ePub and Kindle
Mathematics of Computing -- Numerical Analysis.
Author | : Abraham Berman |
Publisher | : Academic Press |
Total Pages | : 337 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483260860 |
Download Nonnegative Matrices in the Mathematical Sciences Book 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.
Author | : Aihui Zhou |
Publisher | : World Scientific Publishing Company |
Total Pages | : 362 |
Release | : 2009-08-24 |
Genre | : Mathematics |
ISBN | : 981310743X |
Download Nonnegative Matrices, Positive Operators, And Applications Book 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.
Author | : Richard S Varga |
Publisher | : Springer Science & Business Media |
Total Pages | : 363 |
Release | : 2009-12-05 |
Genre | : Mathematics |
ISBN | : 3642051561 |
Download Matrix Iterative Analysis Book 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.
Author | : Shaun M. Fallat |
Publisher | : Princeton University Press |
Total Pages | : 265 |
Release | : 2011-04-11 |
Genre | : Mathematics |
ISBN | : 1400839017 |
Download Totally Nonnegative Matrices Book 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.
Author | : Abraham Berman |
Publisher | : Wiley-Interscience |
Total Pages | : 200 |
Release | : 1989 |
Genre | : Mathematics |
ISBN | : |
Download Nonnegative Matrices in Dynamic Systems Book in PDF, ePub and Kindle
This work applies the theory of nonnegative matrices to problems arising in positive differential and control systems. There is a concise review of requisite material in convex analysis and matrix theory, as well as a detailed review of linear differential and control systems. Exposition incorporates simple real-world dynamic models to better illustrate various aspects of the theory being developed. Contains exercises.
Author | : R. B. Bapat |
Publisher | : Cambridge University Press |
Total Pages | : 351 |
Release | : 1997-03-28 |
Genre | : Mathematics |
ISBN | : 0521571677 |
Download Nonnegative Matrices and Applications Book in PDF, ePub and Kindle
This book provides an integrated treatment of the theory of nonnegative matrices (matrices with only positive numbers or zero as entries) and some related classes of positive matrices, concentrating on connections with game theory, combinatorics, inequalities, optimisation and mathematical economics. The wide variety of applications, which include price fixing, scheduling and the fair division problem, have been carefully chosen both for their elegant mathematical content and for their accessibility to students with minimal preparation. Many results in matrix theory are also presented. The treatment is rigorous and almost all results are proved completely. These results and applications will be of great interest to researchers in linear programming, statistics and operations research. The minimal prerequisites also make the book accessible to first-year graduate students.
Author | : E. Seneta |
Publisher | : Springer Science & Business Media |
Total Pages | : 295 |
Release | : 2006-07-02 |
Genre | : Mathematics |
ISBN | : 0387327924 |
Download Non-negative Matrices and Markov Chains Book in PDF, ePub and Kindle
Since its inception by Perron and Frobenius, the theory of non-negative matrices has developed enormously and is now being used and extended in applied fields of study as diverse as probability theory, numerical analysis, demography, mathematical economics, and dynamic programming, while its development is still proceeding rapidly as a branch of pure mathematics in its own right. While there are books which cover this or that aspect of the theory, it is nevertheless not uncommon for workers in one or another branch of its development to be unaware of what is known in other branches, even though there is often formal overlap. One of the purposes of this book is to relate several aspects of the theory, insofar as this is possible. The author hopes that the book will be useful to mathematicians; but in particular to the workers in applied fields, so the mathematics has been kept as simple as could be managed. The mathematical requisites for reading it are: some knowledge of real-variable theory, and matrix theory; and a little knowledge of complex-variable; the emphasis is on real-variable methods. (There is only one part of the book, the second part of 55.5, which is of rather specialist interest, and requires deeper knowledge.) Appendices provide brief expositions of those areas of mathematics needed which may be less g- erally known to the average reader.
Author | : Shaun M. Fallat |
Publisher | : Princeton University Press |
Total Pages | : 264 |
Release | : 2022-12-13 |
Genre | : Mathematics |
ISBN | : 0691242410 |
Download Totally Nonnegative Matrices Book 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.
Author | : Denis Serre |
Publisher | : Springer Science & Business Media |
Total Pages | : 291 |
Release | : 2010-10-26 |
Genre | : Mathematics |
ISBN | : 1441976833 |
Download Matrices Book in PDF, ePub and Kindle
In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. With forty percent new material, this second edition is significantly different from the first edition. Newly added topics include: • Dunford decomposition, • tensor and exterior calculus, polynomial identities, • regularity of eigenvalues for complex matrices, • functional calculus and the Dunford–Taylor formula, • numerical range, • Weyl's and von Neumann’s inequalities, and • Jacobi method with random choice. The book mixes together algebra, analysis, complexity theory and numerical analysis. As such, this book will provide many scientists, not just mathematicians, with a useful and reliable reference. It is intended for advanced undergraduate and graduate students with either applied or theoretical goals. This book is based on a course given by the author at the École Normale Supérieure de Lyon.