ENGLISH

Matrices and Matroids for Systems Analysis

By Kazuo Murota (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2010
ISBN
3642039936, 9783642039935
DOI
10.1007/978-3-642-03994-2
Open Library ID
OL25030174M
Language
english
Format
PDF
Filesize
5 MB (4779489 bytes)
Series
Algorithms and Combinatorics 20
Edition
1
Pages
483\491
Scanned
yes
Time added
2011-06-04 13:46:07
Combinatorics; Linear and Multilinear AlgebrasMatrix Theory; Appl.Mathematics/Computational Meth

Description

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

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