Combinatorial Approach to Matrix Theory and Its Applications

Zusatztext "The originality of the book lies - as its title indicates - in the use of combinatorial methods! specifically Graph Theory! in the treatment . . . An original and well-written textbook within whose pages even the most experienced reader should find something novel." - Allan Solomon! Open University! in Contemporary Physics! May-June 2009! Vol. 50! No. 3 Informationen zum Autor Richard A. Brualdi, Dragos Cvetkovic Klappentext Through combinatorial and graph theoretic tools, this self-contained reference helps readers understand the fundamentals of matrix theory and its applications to science. It develops the theory using graphs to explain the basic matrix construction, formulas, computations, ideas, and results. The authors stress the combinatorial aspects of the topics with other aspects of the theory. Containing material rarely found at this level, the book covers Gersgorin's theorem and extensions, Kronecker product of matrices, sign nonsingular matrices, and evaluation of the permanent. It also includes various exercises. Zusammenfassung Placing combinatorial and graph-theoretical tools at the forefront of the development of matrix theory, this book uses graphs to explain basic matrix construction, formulas, computations, ideas, and results. Inhaltsverzeichnis Introduction. Basic Matrix Operations. Powers of Matrices. Determinants. Matrix Inverses. Systems of Linear Equations. Spectrum of a Matrix. Nonnegative Matrices. Additional Topics. Applications.

Product details

• Authors: Richard A. Brualdi, Richard A. (University of Wisconsin Brualdi, Richard A. Cvetkovic Brualdi, Brualdi Richard A., agos Cvetkovic, Dragos Cvetkovic
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 06.08.2008
• EAN: 9781420082234
• ISBN: 978-1-4200-8223-4
• No. of pages: 288
• Dimensions: 165 mm x 241 mm x 25 mm
• Series: Discrete Mathematics and Its Applications; Discrete Mathematics and Its Applications
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries; Non-fiction book > Nature, technology > Astronomy: general, reference works; Algebra, MATHEMATICS / Algebra / General, MATHEMATICS / Combinatorics, Combinatorics & graph theory, Combinatorics and graph theory