A Combinatorial Approach to Matrix Theory and Its Applications (Discrete Mathematics and Its Applications)

Brualdi, Richard A.; Cvetkovic, Dragos

ISBN 10: 142008223X ISBN 13: 9781420082234

Editorial: Chapman and Hall/CRC, 2008

Idioma: Ingl�s

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T�tulo

A Combinatorial Approach to Matrix Theory and Its Applications (Discrete Mathematics and Its Applications)

Editor

Chapman and Hall/CRC

Fecha de publicaci�n

2008

Idioma

Ingl�s

ISBN 10

142008223X

ISBN 13

9781420082234

Encuadernaci�n

Encuadernaci�n de tapa dura

Estado

New

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Sinopsis

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. It presents material rarely found in other books at this level, including Gersgorin's theorem and its extensions, the Kronecker product of matrices, sign-nonsingular matrices, and the evaluation of the permanent matrix. The authors provide a combinatorial argument for the classical Cayley-Hamilton theorem and a combinatorial proof of the Jordan canonical form of a matrix. They also describe several applications of matrices in electrical engineering, physics, and chemistry.

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Richard A. Brualdi, Dragos Cvetkovic

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