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Matrices and Matroids for Systems Analysis de Kazuo Murota

Matrices and Matroids for Systems Analysis: Algorithms and Combinatorics, cartea 20

Autor Kazuo Murota
en Limba Engleză Paperback – 18 noi 2009
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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Specificații

ISBN-13: 9783642039935
ISBN-10: 3642039936
Pagini: 496
Ilustrații: XII, 483 p.
Dimensiuni: 155 x 235 x 35 mm
Greutate: 0.71 kg
Ediția:2000
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Algorithms and Combinatorics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

to Structural Approach #x2014; Overview of the Book.- Matrix, Graph, and Matroid.- Physical Observations for Mixed Matrix Formulation.- Theory and Application of Mixed Matrices.- Polynomial Matrix and Valuated Matroid.- Theory and Application of Mixed Polynomial Matrices.- Further Topics.

Textul de pe ultima copertă

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

Caracteristici

First comprehensive presentation of the theory and application of mixed matrices and a unique introduction to matroid theory Self-contained presentation of the theory and applications of matroids, written in such a way that the reader can acquire familiarity with matroids through matrices and reach the stage of understanding the most recent results in matroid theory Includes supplementary material: sn.pub/extras