Murota Matrices and Matroids for Systems Analysis

1. Auflage 2009
ISBN: 978-3-642-03994-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 20, 483 Seiten, eBook

Reihe: Algorithms and Combinatorics

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

Zielgruppe

Research

Autoren/Hrsg.

Murota, Kazuo

Inhaltsverzeichnis

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.