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Matrices of Sign-Solvable Linear Systems

Matrices of Sign-Solvable Linear Systems

Paperback

Series: Cambridge Tracts in Mathematics, Book 116

General MathematicsGeneral Science

ISBN10: 052110582X
ISBN13: 9780521105828
Publisher: Cambridge
Published: Apr 2 2009
Pages: 316
Weight: 1.02
Height: 0.71 Width: 6.00 Depth: 9.00
Language: English
In a sign-solvable linear system, the signs of the coefficients determine the signs of some entries in the solution. This type of system is part of a larger study that helps researchers understand if properties of a matrix can be determined from combinatorial arrangements of its elements. In this book, the authors present the diffuse body of literature on sign-solvability as a coherent whole for the first time, giving many new results and proofs and establishing many new connections. Brualdi and Shader describe and comment on algorithms implicit in many of the proofs and their complexity. The book is self-contained, assuming familiarity only with elementary linear algebra and graph theory. Intended primarily for researchers in combinatorics and linear algebra, it should also be of interest to computer scientists, economists, physicists, chemists, and engineers.

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