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Author : Alfred Brauer
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.3/5 (91 download)
Download or read book A New Proof of the Theorems of Perron and Frobenius on Non-negative Matrices written by Alfred Brauer and published by . This book was released on 1956 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alfred Theodore Brauer
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.3/5 (91 download)
Download or read book A New Proof of Theorems of Perron and Frobenius on Non-negative Matrices written by Alfred Theodore Brauer and published by . This book was released on 1961 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: In part I of this paper (UNC Technical report no. 4, AFOSR-TN-56-576 ...) a new proof of the theorems of Perron and Frobenius on positive matrices was given and some of their results were improved. Moreover, a method was obtained to compute the greatest positive root of a positive matrix and a characteristic vector belonging to this root as exactly as needed. The same method can be used directly for non-negative matrices. But the proofs are more difficult than for positive matrices. Therefore the results were first published for positive matrices and the publication for the case of non-negative matrices was postponed. In this paper a new method for the proof in the case of non-negative matrices is given. The proofs become much simpler and the computation of the greatest root requires a smaller number of steps.
Author : E. Seneta
Publisher : Springer Science & Business Media
ISBN 13 : 0387327924
Total Pages : 295 pages
Book Rating : 4.3/5 (873 download)
Download or read book Non-negative Matrices and Markov Chains written by E. Seneta and published by Springer Science & Business Media. This book was released on 2006-07-02 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Abraham Berman
Publisher : Academic Press
ISBN 13 : 1483260860
Total Pages : 337 pages
Book Rating : 4.4/5 (832 download)
Download or read book Nonnegative Matrices in the Mathematical Sciences written by Abraham Berman and published by Academic Press. This book was released on 2014-05-10 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : United States. Air Force. Office of Scientific Research
Publisher :
ISBN 13 :
Total Pages : 1190 pages
Book Rating : 4.3/5 (243 download)
Download or read book AFOSR. written by United States. Air Force. Office of Scientific Research and published by . This book was released on 1950 with total page 1190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alston Scott Householder
Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.F/5 ( download)
Download or read book KWIC Index for Numerical Algebra written by Alston Scott Householder and published by . This book was released on 1972 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard Bellman
Publisher : SIAM
ISBN 13 : 9781611971170
Total Pages : 431 pages
Book Rating : 4.9/5 (711 download)
Download or read book Introduction to Matrix Analysis written by Richard Bellman and published by SIAM. This book was released on 1997-12-01 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Long considered to be a classic in its field, this was the first book in English to include three basic fields of the analysis of matrices -- symmetric matrices and quadratic forms, matrices and differential equations, and positive matrices and their use in probability theory and mathematical economics. Written in lucid, concise terms, this volume covers all the key aspects of matrix analysis and presents a variety of fundamental methods. Originally published in 1970, this book replaces the first edition previously published by SIAM in the Classics series. Here you will find a basic guide to operations with matrices and the theory of symmetric matrices, plus an understanding of general square matrices, origins of Markov matrices and non-negative matrices in general, minimum- maximum characterization of characteristic roots, Krnoecker products, functions of matrices, and much more. These ideas and methods will serve as powerful analytical tools. In addition, this volume includes exercises of all levels of difficulty and many references to original papers containing further results. The problem sections contain many useful and interesting results that are not easily found elsewhere. A discussion of the theoretical treatment of matrices in the computational solution of ordinary and partial differential equations, as well as important chapters on dynamic programming and stochastic matrices are also included.
Author : Edwin F. Beckenbach
Publisher : Springer Science & Business Media
ISBN 13 : 3642649718
Total Pages : 210 pages
Book Rating : 4.6/5 (426 download)
Download or read book Inequalities written by Edwin F. Beckenbach and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the elassie work on inequalities by HARDY, LITTLEWOOD, and P6LYA in 1934, an enonnous amount of effort has been devoted to the sharpening and extension of the elassieal inequalities, to the discovery of new types of inequalities, and to the application of inqualities in many parts of analysis. As examples, let us eite the fields of ordinary and partial differential equations, whieh are dominated by inequalities and variational prineiples involving functions and their derivatives; the many applications of linear inequalities to game theory and mathe matieal economics, which have triggered a renewed interest in con vexity and moment-space theory; and the growing uses of digital com puters, which have given impetus to a systematie study of error esti mates involving much sophisticated matrix theory and operator theory. The results presented in the following pages reflect to some extent these ramifications of inequalities into contiguous regions of analysis, but to a greater extent our concem is with inequalities in their native habitat. Since it is elearly impossible to give a connected account of the burst of analytic activity of the last twenty-five years centering about inequalities, we have d. eeided to limit our attention to those topies that have particularly delighted and intrigued us, and to the study of whieh we have contributed.
Author : Marvin Marcus
Publisher : Courier Corporation
ISBN 13 : 9780486671024
Total Pages : 212 pages
Book Rating : 4.6/5 (71 download)
Download or read book A Survey of Matrix Theory and Matrix Inequalities written by Marvin Marcus and published by Courier Corporation. This book was released on 1992-01-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise, masterly survey of a substantial part of modern matrix theory introduces broad range of ideas involving both matrix theory and matrix inequalities. Also, convexity and matrices, localization of characteristic roots, proofs of classical theorems and results in contemporary research literature, more. Undergraduate-level. 1969 edition. Bibliography.
Author : Roger D. Nussbaum
Publisher : American Mathematical Soc.
ISBN 13 : 0821824546
Total Pages : 148 pages
Book Rating : 4.8/5 (218 download)
Download or read book Hilbert's Projective Metric and Iterated Nonlinear Maps written by Roger D. Nussbaum and published by American Mathematical Soc.. This book was released on 1988 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fuzhen Zhang
Publisher : Springer Science & Business Media
ISBN 13 : 1475757972
Total Pages : 290 pages
Book Rating : 4.4/5 (757 download)
Download or read book Matrix Theory written by Fuzhen Zhang and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume concisely presents fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. Each chapter focuses on the results, techniques, and methods that are beautiful, interesting, and representative, followed by carefully selected problems. For many theorems several different proofs are given. The only prerequisites are a decent background in elementary linear algebra and calculus.
Author : Moody Chu
Publisher : Oxford University Press
ISBN 13 : 0198566646
Total Pages : 408 pages
Book Rating : 4.1/5 (985 download)
Download or read book Inverse Eigenvalue Problems written by Moody Chu and published by Oxford University Press. This book was released on 2005-06-16 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse eigenvalue problems arise in a remarkable variety of applications and associated with any inverse eigenvalue problem are two fundamental questions--the theoretical issue of solvability and the practical issue of computability. Both questions are difficult and challenging. In this text, the authors discuss the fundamental questions, some known results, many applications, mathematical properties, a variety of numerical techniques, as well as several open problems.This is the first book in the authoritative Numerical Mathematics and Scientific Computation series to cover numerical linear algebra, a broad area of numerical analysis. Authored by two world-renowned researchers, the book is aimed at graduates and researchers in applied mathematics, engineering and computer science and makes an ideal graduate text.
Author : R. B. Bapat
Publisher : Cambridge University Press
ISBN 13 : 0521571677
Total Pages : 351 pages
Book Rating : 4.5/5 (215 download)
Download or read book Nonnegative Matrices and Applications written by R. B. Bapat and published by Cambridge University Press. This book was released on 1997-03-28 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.E/5 ( download)
Download or read book Technical Abstract Bulletin written by and published by . This book was released on 1965 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Calvin Richard Putnam
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.3/5 (91 download)
Download or read book Commutators on a Hilbert Space written by Calvin Richard Putnam and published by . This book was released on 1958 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bas Lemmens
Publisher : Cambridge University Press
ISBN 13 : 0521898811
Total Pages : 337 pages
Book Rating : 4.5/5 (218 download)
Download or read book Nonlinear Perron-Frobenius Theory written by Bas Lemmens and published by Cambridge University Press. This book was released on 2012-05-03 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Guides the reader through the nonlinear Perron-Frobenius theory, introducing them to recent developments and challenging open problems.
Author : Peter Walters
Publisher : American Mathematical Soc.
ISBN 13 : 0821851462
Total Pages : 472 pages
Book Rating : 4.8/5 (218 download)
Download or read book Symbolic Dynamics and its Applications written by Peter Walters and published by American Mathematical Soc.. This book was released on 1992 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference, Symbolic Dynamics and its Applications, held at Yale University in the summer of 1991 in honour of Roy L. Adler on his sixtieth birthday. The conference focused on symbolic dynamics and its applications to other fields, including: ergodic theory, smooth dynamical systems, information theory, automata theory, and statistical mechanics. Featuring a range of contributions from some of the leaders in the field, this volume presents an excellent overview of the subject.
