A matroid is an abstract mathematical structure that captures combinatorialproperties of matrices. This book offers a unique introduction to matroidtheory empha... » 

A matroid is an abstract mathematical structure that captures combinatorialproperties of matrices. This book offers a unique introduction to matroidtheory emphasizing motivations from matrix theory and applications to systemsanalysis. This book serves also as a comprehensive presentation of the theoryand application of mixed matrices developed primarily by the present author inthe 1990s. A mixed matrix is a convenient mathematical tool for systemsanalysis compatible with the physical observation that fixed constants andsystem parameters are to be distinguished in the description of engineeringsystems. This book will be extremely useful to graduate students andresearchers in engineering mathematics and computer science. From the reviews...The book has been prepared very carefully contains a lot of interestingresults and is highly recommended for graduate and postgraduate students.Andrs Recski Mathematical Reviews Clippings 2000m93006 TOCPreface. I.Introduction to Structural Approach Overview of the Book. II. Matrix Graphand Matroid. III. Physical Observations for Mixed Matrix Formulation. IV.Theory and Application of Mixed Matrices. V. Polynomial Matrix and ValuatedMatroid. VI. Theory and Application of Mixed Polynomial Matrices. VII.Further Topics Combinatorial Relaxation Algorithm Combinatorial SystemTheory Mixed SkewSymmetric Matrix. References. Notation Index. Index. «