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Matrices and Matroids for Systems Analysis
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Catalogue Information
Field name
Details
Dewey Class
511.6
Title
Matrices and Matroids for Systems Analysis (EB) / by Kazuo Murota.
Author
Murota, Kazuo. , 1955-
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 2010.
Physical Details
: online resource.
Series
Algorithms and Combinatorics
0937-5511 ; ; 20
ISBN
9783642039942
Summary Note
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: "â¦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:
Contents note
Preface -- I. Introduction to Structural Approach - Overview of the Book -- II. Matrix, Graph and Matroid -- III. Physical Observations for Mixed Matrix Formulation -- IV. Theory and Application of Mixed Matrices -- V. Polynomial Matrix and Valuated Matroid -- VI. Theory and Application of Mixed Polynomial Matrices -- VII. Further Topics: Combinatorial Relaxation Algorithm; Combinatorial System Theory; Mixed Skew-Symmetric Matrix -- References -- Notation Index -- Index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-3-642-03994-2
Links to Related Works
Subject References:
Algorithm Analysis and Problem Complexity
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Appl.Mathematics/Computational Methods of Engineering
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Combinatorics
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Engineering mathematics
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Industrial Chemistry/Chemical Engineering
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Matrices
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Matrix theory
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Matroids
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System analysis
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Authors:
Murota, Kazuo. 1955-
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Corporate Authors:
SpringerLink (Online service)
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Series:
Algorithms and Combinatorics
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Classification:
511.6
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