Matrices and Matroids for Systems Analysis

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

List of contents

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.

Summary

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

Product details

• Authors: Kazuo Murota
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 07.12.2009
• EAN: 9783642039935
• ISBN: 978-3-642-03993-5
• No. of pages: 483
• Dimensions: 155 mm x 237 mm x 27 mm
• Weight: 726 g
• Illustrations: XII, 483 p.
• Series: Algorithms and Combinatorics; Algorithms and Combinatorics
• Subjects: Children's and young people's books > Young people's books from 12 years of age; Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; Algebra, B, Combinatorics, Mathematics and Statistics, Mathematical and Computational Engineering, Chemical Engineering, Industrial Chemistry, Linear Algebra, Discrete Mathematics, Combinatorics & graph theory, Engineering mathematics, Applied mathematics, Mathematical and Computational Engineering Applications, Maths for engineers, Matrix theory, Linear and Multilinear Algebras, Matrix Theory, Industrial chemistry & chemical engineering, Industrial Chemistry/Chemical Engineering