Theorems and Counterexamples on Structured Matrices

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Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Theorems and Counterexamples on Structured Matrices by : Olga Vladimirovna Holtz

Download or read book Theorems and Counterexamples on Structured Matrices written by Olga Vladimirovna Holtz and published by . This book was released on 2000 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Methods for Structured Matrices and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3764389966
Total Pages : 439 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Numerical Methods for Structured Matrices and Applications by : Dario Andrea Bini

Download or read book Numerical Methods for Structured Matrices and Applications written by Dario Andrea Bini and published by Springer Science & Business Media. This book was released on 2011-02-09 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This cross-disciplinary volume brings together theoretical mathematicians, engineers and numerical analysts and publishes surveys and research articles related to topics such as fast algorithms, in which the late Georg Heinig made outstanding achievements.

Structured Matrices and Polynomials

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817642402
Total Pages : 312 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Structured Matrices and Polynomials by : Victor Pan

Download or read book Structured Matrices and Polynomials written by Victor Pan and published by Springer Science & Business Media. This book was released on 2001-06-26 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Structured matrices serve as a natural bridge between the areas of algebraic computations with polynomials and numerical matrix computations, allowing cross-fertilization of both fields. This book covers most fundamental numerical and algebraic computations with Toeplitz, Hankel, Vandermonde, Cauchy, and other popular structured matrices. Throughout the computations, the matrices are represented by their compressed images, called displacements, enabling both a unified treatment of various matrix structures and dramatic saving of computer time and memory. The resulting superfast algorithms allow further dramatic parallel acceleration using FFT and fast sine and cosine transforms. Included are specific applications to other fields, in particular, superfast solutions to: various fundamental problems of computer algebra; the tangential Nevanlinna--Pick and matrix Nehari problems The primary intended readership for this work includes researchers, algorithm designers, and advanced graduate students in the fields of computations with structured matrices, computer algebra, and numerical rational interpolation. The book goes beyond research frontiers and, apart from very recent research articles, includes yet unpublished results. To serve a wider audience, the presentation unfolds systematically and is written in a user-friendly engaging style. Only some preliminary knowledge of the fundamentals of linear algebra is required. This makes the material accessible to graduate students and new researchers who wish to study the rapidly exploding area of computations with structured matrices and polynomials. Examples, tables, figures, exercises, extensive bibliography, and index lend this text to classroom use or self-study.

Theorems and Counterexamples in Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461209935
Total Pages : 339 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Theorems and Counterexamples in Mathematics by : Bernard R. Gelbaum

Download or read book Theorems and Counterexamples in Mathematics written by Bernard R. Gelbaum and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: The gratifying response to Counterexamples in analysis (CEA) was followed, when the book went out of print, by expressions of dismay from those who were unable to acquire it. The connection of the present volume with CEA is clear, although the sights here are set higher. In the quarter-century since the appearance of CEA, mathematical education has taken some large steps reflected in both the undergraduate and graduate curricula. What was once taken as very new, remote, or arcane is now a well-established part of mathematical study and discourse. Consequently the approach here is designed to match the observed progress. The contents are intended to provide graduate and ad vanced undergraduate students as well as the general mathematical public with a modern treatment of some theorems and examples that constitute a rounding out and elaboration of the standard parts of algebra, analysis, geometry, logic, probability, set theory, and topology. The items included are presented in the spirit of a conversation among mathematicians who know the language but are interested in some of the ramifications of the subjects with which they routinely deal. Although such an approach might be construed as demanding, there is an extensive GLOSSARY jlNDEX where all but the most familiar notions are clearly defined and explained. The object ofthe body of the text is more to enhance what the reader already knows than to review definitions and notations that have become part of every mathematician's working context.

Counterexamples in Topology

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Publisher : Courier Corporation
ISBN 13 : 0486319296
Total Pages : 274 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Counterexamples in Topology by : Lynn Arthur Steen

Download or read book Counterexamples in Topology written by Lynn Arthur Steen and published by Courier Corporation. This book was released on 2013-04-22 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 140 examples, preceded by a succinct exposition of general topology and basic terminology. Each example treated as a whole. Numerous problems and exercises correlated with examples. 1978 edition. Bibliography.

Counterexamples in Analysis

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Publisher : Courier Corporation
ISBN 13 : 0486134911
Total Pages : 226 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Counterexamples in Analysis by : Bernard R. Gelbaum

Download or read book Counterexamples in Analysis written by Bernard R. Gelbaum and published by Courier Corporation. This book was released on 2012-07-12 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition.

Fast Algorithms for Structured Matrices

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Publisher : American Mathematical Soc.
ISBN 13 : 0821831771
Total Pages : 448 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fast Algorithms for Structured Matrices by : Vadim Olshevsky

Download or read book Fast Algorithms for Structured Matrices written by Vadim Olshevsky and published by American Mathematical Soc.. This book was released on 2003 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the best known fast computational algorithms is the fast Fourier transform method. Its efficiency is based mainly on the special structure of the discrete Fourier transform matrix. Recently, many other algorithms of this type were discovered, and the theory of structured matrices emerged. This volume contains 22 survey and research papers devoted to a variety of theoretical and practical aspects of the design of fast algorithms for structured matrices and related issues. Included are several papers containing various affirmative and negative results in this direction. The theory of rational interpolation is one of the excellent sources providing intuition and methods to design fast algorithms. The volume contains several computational and theoretical papers on the topic. There are several papers on new applications of structured matrices, e.g., to the design of fast decoding algorithms, computing state-space realizations, relations to Lie algebras, unconstrained optimization, solving matrix equations, etc. The book is suitable for mathematicians, engineers, and numerical analysts who design, study, and use fast computational algorithms based on the theory of structured matrices.

Structured Matrices in Mathematics, Computer Science, and Engineering II

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821820923
Total Pages : 362 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Structured Matrices in Mathematics, Computer Science, and Engineering II by : Vadim Olshevsky

Download or read book Structured Matrices in Mathematics, Computer Science, and Engineering II written by Vadim Olshevsky and published by American Mathematical Soc.. This book was released on 2001 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The collection of the contributions to these volumes offers a flavor of the plethora of different approaches to attack structured matrix problems. The reader will find that the theory of structured matrices is positioned to bridge diverse applications in the sciences and engineering, deep mathematical theories, as well as computational and numberical issues. The presentation fully illustrates the fact that the technicques of engineers, mathematicisn, and numerical analysts nicely complement each other, and they all contribute to one unified theory of structured matrices"--Back cover.

Fast Algorithms for Structured Matrices

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821887585
Total Pages : 452 pages
Book Rating : 4.8/5 (875 download)

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Book Synopsis Fast Algorithms for Structured Matrices by : Vadim Olshevsky

Download or read book Fast Algorithms for Structured Matrices written by Vadim Olshevsky and published by American Mathematical Soc.. This book was released on with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the best known fast computational algorithms is the fast Fourier transform method. Its efficiency is based mainly on the special structure of the discrete Fourier transform matrix. Recently, many other algorithms of this type were discovered, and the theory of structured matrices emerged. This volume contains 22 survey and research papers devoted to a variety of theoretical and practical aspects of the design of fast algorithms for structured matrices and related issues. Included are several papers containing various affirmative and negative results in this direction. The theory of rational interpolation is one of the excellent sources providing intuition and methods to design fast algorithms. The volume contains several computational and theoretical papers on the topic. There are several papers on new applications of structured matrices, e.g., to the design of fast decoding algorithms, computing state-space realizations, relations to Lie algebras, unconstrained optimization, solving matrix equations, etc. The book is suitable for mathematicians, engineers, and numerical analysts who design, study, and use fast computational algorithms based on the theory of structured matrices.

How to Prove It

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Publisher : Cambridge University Press
ISBN 13 : 0521861241
Total Pages : 401 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis How to Prove It by : Daniel J. Velleman

Download or read book How to Prove It written by Daniel J. Velleman and published by Cambridge University Press. This book was released on 2006-01-16 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.

Numerical Methods for Structured Matrices and Applications

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Publisher : Birkhäuser
ISBN 13 : 9783764389956
Total Pages : 439 pages
Book Rating : 4.3/5 (899 download)

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Book Synopsis Numerical Methods for Structured Matrices and Applications by : Dario Andrea Bini

Download or read book Numerical Methods for Structured Matrices and Applications written by Dario Andrea Bini and published by Birkhäuser. This book was released on 2010-03-12 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This cross-disciplinary volume brings together theoretical mathematicians, engineers and numerical analysts and publishes surveys and research articles related to topics such as fast algorithms, in which the late Georg Heinig made outstanding achievements.

Lectures on Matrices

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Publisher :
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Lectures on Matrices by : Joseph Henry Maclagan Wedderburn

Download or read book Lectures on Matrices written by Joseph Henry Maclagan Wedderburn and published by . This book was released on 1934 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Lectures on matrices given at Princeton University at various times since 1920"--Preface.

Dissertation Abstracts International

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Publisher :
ISBN 13 :
Total Pages : 960 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2007 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book of Proof

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Publisher :
ISBN 13 : 9780989472111
Total Pages : 314 pages
Book Rating : 4.4/5 (721 download)

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Book Synopsis Book of Proof by : Richard H. Hammack

Download or read book Book of Proof written by Richard H. Hammack and published by . This book was released on 2016-01-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.

An Introduction to Matrix Concentration Inequalities

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Publisher :
ISBN 13 : 9781601988386
Total Pages : 256 pages
Book Rating : 4.9/5 (883 download)

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Book Synopsis An Introduction to Matrix Concentration Inequalities by : Joel Tropp

Download or read book An Introduction to Matrix Concentration Inequalities written by Joel Tropp and published by . This book was released on 2015-05-27 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random matrices now play a role in many areas of theoretical, applied, and computational mathematics. It is therefore desirable to have tools for studying random matrices that are flexible, easy to use, and powerful. Over the last fifteen years, researchers have developed a remarkable family of results, called matrix concentration inequalities, that achieve all of these goals. This monograph offers an invitation to the field of matrix concentration inequalities. It begins with some history of random matrix theory; it describes a flexible model for random matrices that is suitable for many problems; and it discusses the most important matrix concentration results. To demonstrate the value of these techniques, the presentation includes examples drawn from statistics, machine learning, optimization, combinatorics, algorithms, scientific computing, and beyond.

Maximal nilpotent subalgebras I: Nilradicals and Cartan subalgebras in associative algebras. With 428 exercises

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Publisher : diplom.de
ISBN 13 : 3960676034
Total Pages : 241 pages
Book Rating : 4.9/5 (66 download)

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Book Synopsis Maximal nilpotent subalgebras I: Nilradicals and Cartan subalgebras in associative algebras. With 428 exercises by : Sven Bodo Wirsing

Download or read book Maximal nilpotent subalgebras I: Nilradicals and Cartan subalgebras in associative algebras. With 428 exercises written by Sven Bodo Wirsing and published by diplom.de. This book was released on 2016-12-08 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the author’s doctorate time at the Christian-Albrechts-Universitat to Kiel, Salvatore Siciliano gave a stimulating talk in the upper seminar algebra theory about Cartan subalgebras in Lie algebra associates to associative algebra. This talk was the incentive for the author to analyze maximal nilpotent substructures of the Lie algebra associated to associative algebras. In the present work Siciliano's theory about Cartan subalgebras is worked off and expanded to different special associative algebra classes. In addition, a second maximal nilpotent substructure is analyzed: the nilradical. Within this analysis the main focus is to describe these substructure with the associative structure of the underlying algebra. This is successfully realized in this work. Numerous examples (like group algebras and Solomon (Tits-) algebras) illustrate the results to the reader. Within the numerous exercises these results can be applied by the reader to get a deeper insight in this theory.

The State Space Method

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764373702
Total Pages : 292 pages
Book Rating : 4.3/5 (737 download)

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Book Synopsis The State Space Method by : Daniel Alpay

Download or read book The State Space Method written by Daniel Alpay and published by Springer Science & Business Media. This book was released on 2006 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The state space method developed in the last decades allows us to study the theory of linear systems by using tools from the theory of linear operators; conversely, it had a strong influence on operator theory introducing new questions and topics. The present volume contains a collection of essays representing some of the recent advances in the state space method. Methods covered include noncommutative systems theory, new aspects of the theory of discrete systems, discrete analogs of canonical systems, and new applications to the theory of Bezoutiants and convolution equations. The articles in the volume will be of interest to pure and applied mathematicians, electrical engineers and theoretical physicists.