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Item Details
| Title:
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MATRICES OF SIGN-SOLVABLE LINEAR SYSTEMS
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| By: |
Richard A. Brualdi, Bryan L. Shader |
| Format: |
Electronic book text |
| List price:
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£85.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0511574738 |
| ISBN 13: |
9780511574733 |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
4 February, 2010 |
| Series: |
Cambridge Tracts in Mathematics 116 |
| Description: |
The large and diffuse body of literature connected with sign-solvability is presented as a coherent whole for the first time in this book. |
| Synopsis: |
The sign-solvability of a linear system implies that the signs of the entries of the solution are determined solely on the basis of the signs of the coefficients of the system. That it might be worthwhile and possible to investigate such linear systems was recognised by Samuelson in his classic book Foundations of Economic Analysis. Sign-solvability is part of a larger study which seeks to understand the special circumstances under which an algebraic, analytic or geometric property of a matrix can be determined from the combinatorial arrangement of the positive, negative and zero elements of the matrix. The large and diffuse body of literature connected with sign-solvability is presented as a coherent whole for the first time in this book, displaying it as a beautiful interplay between combinatorics and linear algebra. One of the features of this book is that algorithms that are implicit in many of the proofs have been explicitly described and their complexity has been commented on. |
| Illustrations: |
7 b/w illus. |
| Publication: |
UK |
| Imprint: |
Cambridge University Press (Virtual Publishing) |
| Returns: |
Non-returnable |
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