TY - BOOK AU - Murota,Kazuo ED - SpringerLink (Online service) TI - Matrices and Matroids for Systems Analysis T2 - Algorithms and Combinatorics, SN - 9783642039942 AV - QA164-167.2 U1 - 511.6 23 PY - 2010/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Chemical engineering KW - Computer software KW - Matrix theory KW - Combinatorics KW - Engineering mathematics KW - Linear and Multilinear Algebras, Matrix Theory KW - Appl.Mathematics/Computational Methods of Engineering KW - Industrial Chemistry/Chemical Engineering KW - Algorithm Analysis and Problem Complexity N1 - to Structural Approach — 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 N2 - 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 UR - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-03994-2 ER -