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Matrices And Matroids For Systems Analysis

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Matrices And Matroids For Systems Analysis

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Author : Kazuo Murota
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-27

Matrices And Matroids For Systems Analysis written by Kazuo Murota and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-27 with Mathematics categories.

A matroid is an abstract mathematical structure that captures combinatorial properties of matrices. This book offers a unique introduction to matroid theory, emphasizing motivations from matrix theory and applications to systems analysis. This book serves also as a comprehensive presentation of the theory and application of mixed matrices, developed primarily by the present author in the 1990's. A mixed matrix is a convenient mathematical tool for systems analysis, compatible with the physical observation that "fixed constants" and "system parameters" are to be distinguished in the description of engineering systems. This book will be extremely useful to graduate students and researchers in engineering, mathematics and computer science. From the reviews: "...The book has been prepared very carefully, contains a lot of interesting results and is highly recommended for graduate and postgraduate students." András Recski, Mathematical Reviews Clippings 2000m:93006

Matrices And Matroids For Systems Analysis

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Author : Kazuo Murota
language : en
Publisher: Springer
Release Date : 2010-04-29

Matrices And Matroids For Systems Analysis written by Kazuo Murota and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-29 with Mathematics categories.

Systems Analysis By Graphs And Matroids

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Author : Kazuo Murota
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Systems Analysis By Graphs And Matroids written by Kazuo Murota and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Recent technology involves large-scale physical or engineering systems consisting of thousands of interconnected elementary units. This monograph illustrates how engineering problems can be solved using the recent results of combinatorial mathematics through appropriate mathematical modeling. The structural solvability of a system of linear or nonlinear equations as well as the structural controllability of a linear time-invariant dynamical system are treated by means of graphs and matroids. Special emphasis is laid on the importance of relevant physical observations to successful mathematical modelings. The reader will become acquainted with the concepts of matroid theory and its corresponding matroid theoretical approach. This book is of interest to graduate students and researchers.

Topics In Matroid Theory

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Author : Leonidas S. Pitsoulis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-24

Topics In Matroid Theory written by Leonidas S. Pitsoulis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-24 with Mathematics categories.

Topics in Matroid Theory provides a brief introduction to matroid theory with an emphasis on algorithmic consequences.Matroid theory is at the heart of combinatorial optimization and has attracted various pioneers such as Edmonds, Tutte, Cunningham and Lawler among others. Matroid theory encompasses matrices, graphs and other combinatorial entities under a common, solid algebraic framework, thereby providing the analytical tools to solve related difficult algorithmic problems. The monograph contains a rigorous axiomatic definition of matroids along with other necessary concepts such as duality, minors, connectivity and representability as demonstrated in matrices, graphs and transversals. The author also presents a deep decomposition result in matroid theory that provides a structural characterization of graphic matroids, and show how this can be extended to signed-graphic matroids, as well as the immediate algorithmic consequences.

Integer Programming And Combinatorial Optimization

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Author : Oktay Günlük
language : en
Publisher: Springer
Release Date : 2011-06-21

Integer Programming And Combinatorial Optimization written by Oktay Günlük and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-21 with Computers categories.

This book constitutes the proceedings of the 15th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2011, held in New York, USA in June 2011. The 33 papers presented were carefully reviewed and selected from 110 submissions. The conference is a forum for researchers and practitioners working on various aspects of integer programming and combinatorial optimization with the aim to present recent developments in theory, computation, and applications. The scope of IPCO is viewed in a broad sense, to include algorithmic and structural results in integer programming and combinatorial optimization as well as revealing computational studies and novel applications of discrete optimization to practical problems.

Combinatorial And Graph Theoretical Problems In Linear Algebra

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Author : Richard A. Brualdi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Combinatorial And Graph Theoretical Problems In Linear Algebra written by Richard A. Brualdi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This IMA Volume in Mathematics and its Applications COMBINATORIAL AND GRAPH-THEORETICAL PROBLEMS IN LINEAR ALGEBRA is based on the proceedings of a workshop that was an integral part of the 1991-92 IMA program on "Applied Linear Algebra." We are grateful to Richard Brualdi, George Cybenko, Alan George, Gene Golub, Mitchell Luskin, and Paul Van Dooren for planning and implementing the year-long program. We especially thank Richard Brualdi, Shmuel Friedland, and Victor Klee for organizing this workshop and editing the proceedings. The financial support of the National Science Foundation made the workshop possible. A vner Friedman Willard Miller, Jr. PREFACE The 1991-1992 program of the Institute for Mathematics and its Applications (IMA) was Applied Linear Algebra. As part of this program, a workshop on Com binatorial and Graph-theoretical Problems in Linear Algebra was held on November 11-15, 1991. The purpose of the workshop was to bring together in an informal setting the diverse group of people who work on problems in linear algebra and matrix theory in which combinatorial or graph~theoretic analysis is a major com ponent. Many of the participants of the workshop enjoyed the hospitality of the IMA for the entire fall quarter, in which the emphasis was discrete matrix analysis.

Systems Analysis By Graphs And Matroids

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Author : Kazuo Murota
language : en
Publisher:
Release Date : 1987

Systems Analysis By Graphs And Matroids written by Kazuo Murota and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Graph theory categories.

Theory And Practice Of Gearing And Transmissions

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Author : Veniamin Goldfarb
language : en
Publisher: Springer
Release Date : 2015-08-26

Theory And Practice Of Gearing And Transmissions written by Veniamin Goldfarb and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-26 with Technology & Engineering categories.

This book brings together papers from all spheres of mechanical engineering related to gears and transmissions, from fundamentals to advanced applications, from academic results in numerical and experimental research, to new approaches to gear design and aspects of their optimization synthesis and to the latest developments in manufacturing. Furthermore, this volume honours the work of Faydor L. Litvin on the 100th anniversary of this birth. He is acknowledged as the founder of the modern theory of gearing. An exhaustive list of his contributions and achievements and a biography are included.

Theory And Applications Of Models Of Computation

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Author : Jianer Chen
language : en
Publisher: Springer Nature
Release Date : 2020-10-11

Theory And Applications Of Models Of Computation written by Jianer Chen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-11 with Computers categories.

This book constitutes the refereed proceedings of the 16th Annual Conference on Theory and Applications of Models of Computation, TAMC 2020, held in Changsha, China, in October 2020. The 37 full papers were carefully reviewed and selected from 83 submissions. The main themes of the selected papers are computability, complexity, algorithms, information theory and their extensions to machine learning theory and foundations of artificial intelligence.

Research Trends In Combinatorial Optimization

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Author : William J. Cook
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-07

Research Trends In Combinatorial Optimization written by William J. Cook and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-07 with Mathematics categories.

The editors and authors dedicate this book to Bernhard Korte on the occasion of his seventieth birthday. We, the editors, are happy about the overwhelming feedback to our initiative to honor him with this book and with a workshop in Bonn on November 3–7,2008.Althoughthiswouldbeareasontolookback,wewouldratherliketolook forward and see what are the interesting research directions today. This book is written by leading experts in combinatorial optimization. All - pers were carefully reviewed, and eventually twenty-three of the invited papers were accepted for this book. The breadth of topics is typical for the eld: combinatorial optimization builds bridges between areas like combinatorics and graph theory, submodular functions and matroids, network ows and connectivity, approximation algorithms and mat- matical programming, computational geometry and polyhedral combinatorics. All these topics are related, and they are all addressed in this book. Combi- torial optimization is also known for its numerous applications. To limit the scope, however, this book is not primarily about applications, although some are mentioned at various places. Most papers in this volume are surveys that provide an excellent overview of an activeresearcharea,butthisbookalsocontainsmanynewresults.Highlightingmany of the currently most interesting research directions in combinatorial optimization, we hope that this book constitutes a good basis for future research in these areas.

Matrices And Matroids For Systems Analysis

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