Matrices and Matroids for Systems Analysis [electronic resource] /by Kazuo Murota.
by Murota, Kazuo [author.]; SpringerLink (Online service).
Material type:
BookSeries: Algorithms and Combinatorics: 20Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.Description: online resource.ISBN: 9783642039942.Subject(s): Mathematics | Chemical engineering | Computer software | Matrix theory | Combinatorics | Engineering mathematics | Mathematics | Combinatorics | Linear and Multilinear Algebras, Matrix Theory | Appl.Mathematics/Computational Methods of Engineering | Industrial Chemistry/Chemical Engineering | Algorithm Analysis and Problem ComplexityDDC classification: 511.6 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| MAIN LIBRARY | QA164-167.2 (Browse shelf) | Available |
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| Q334-342 Advances in Robotics | Q334-342 Progress in Robotics | TJ210.2-211.495 The DARPA Urban Challenge | QA164-167.2 Matrices and Matroids for Systems Analysis | TA329-348 Applications of Supervised and Unsupervised Ensemble Methods | TA329-348 Intelligent Collaborative e-Learning Systems and Applications | TA329-348 Innovations in Neural Information Paradigms and Applications |
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.
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
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