Matrices of Sign-Solvable Linear Systems

Richard A. Brualdi (u. a.)

ISBN 10: 052110582X / ISBN 13: 9780521105828

Published by Cambridge University Press, 2009

About this Item

Matrices of Sign-Solvable Linear Systems | Richard A. Brualdi (u. a.) | Taschenbuch | Kartoniert / Broschiert | Englisch | 2009 | Cambridge University Press | EAN 9780521105828 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand.

Seller Inventory # 101685188

Bibliographic Details

• Title: Matrices of Sign-Solvable Linear Systems
• Publisher: Cambridge University Press
• Publication Date: 2009
• Language: English
• ISBN 10: 052110582X
• ISBN 13: 9780521105828
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 229W x 152H x 19D millimeters 229 millimeters width by 152 millimeters height by 19 millimeters depth
• Weight: 515 grams
• Seller catalogs:
  • Bücher

About this title

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.

Review

"The book is well written and quite readable. It should become an indispensable reference for anyone intersted in questions related to sign solvability of linear systems." Peter M. Gibson, SIAM Review

"...primarily for researchers in combinatorics and linear algebra, it should also be of interest to theoretical computer scientists, economists, physicists, chemists and engineers." Gerard Sierksma, Mathematical Review