Matrices of Sign-Solvable Linear Systems |
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| Author:
| Brualdi, Richard A.
Shader, Bryan L. |
| Series title: | Cambridge Tracts in Mathematics Ser. |
| ISBN: | 978-0-521-10582-8 |
| Publication Date: | Apr 2009 |
| Publisher: | Cambridge University Press
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| Book Format: | Paperback |
| List Price: | AUD $64.95 |
Book Description:
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In a sign-solvable linear system, some qualities of the solution are determined solely by the signs of the coefficients. Paul Samuelson extolled the use of such investigations in economics; applications have also been found in chemistry and physics. This book presents the diffuse field of sign-solvability as a coherent whole for the first time, giving many new results and establishing many new connections. Algorithms implicit in many of the proofs are explicitly described. Intended...
More DescriptionIn a sign-solvable linear system, some qualities of the solution are determined solely by the signs of the coefficients. Paul Samuelson extolled the use of such investigations in economics; applications have also been found in chemistry and physics. This book presents the diffuse field of sign-solvability as a coherent whole for the first time, giving many new results and establishing many new connections. Algorithms implicit in many of the proofs are explicitly described. Intended primarily for researchers in combinatorics and linear algebra, this self-contained account will also interest computer scientists, economists, physicists, chemists, and engineers.