Matrices of Sign-Solvable Linear Systems by Richard A. Brualdi
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Matrices of Sign-Solvable Linear Systems
By Richard A. Brualdi

Matrices of Sign-Solvable Linear Systems

By (author) See other recent books by Richard A. Brualdi See other recent books by Bryan L. Shader
Series edited by B. Bollobas See other recent books by B. Bollobas
Format: Hardback

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Matrices of Sign-Solvable Linear Systems by Richard A. Brualdi

Book Description

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.

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Book Details

ISBN: 9780521482967
ISBN-10: 0521482968
Format: Hardback
(228mm x 152mm x 22mm)
Pages: 316
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 29-Sep-1995
Country of Publication: United Kingdom

Other Editions...


Books By Author Richard A. Brualdi

Combinatorial Matrix Theory by Richard A. Brualdi Combinatorial Matrix Theory, Paperback (January 2014)

This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory.

Matrices of Sign-solvable Linear Systems by Richard A. Brualdi Matrices of Sign-solvable Linear Systems, Paperback (April 2009)

The large and diffuse body of literature connected with sign-solvability is presented as a coherent whole for the first time in this book.

Combinatorial Matrix Classes by Richard A. Brualdi Combinatorial Matrix Classes, Hardback (August 2006)

A thorough development of certain classes of matrices that have combinatorial definitions or significance.

» View all books by Richard A. Brualdi

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