Matrices and Matroids for Systems Analysis

• Main Author: Murota, Kazuo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Algorithms and Combinatorics, 20
• Subjects: Mathematics.; Chemical engineering.; Algebra.; Matrix theory.; Discrete mathematics.; Combinatorics.; Applied mathematics.; Engineering mathematics.; Discrete Mathematics.; Appl.Mathematics/Computational Methods of Engineering.; Linear and Multilinear Algebras, Matrix Theory.; Industrial Chemistry/Chemical Engineering.

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...

Table 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.