Paperback. 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. 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

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Dati bibliografici

Titolo

Matrices of Sign-Solvable Linear Systems (Paperback)

Editore

Cambridge University Press, Cambridge

Data di pubblicazione

2009

Lingua

Inglese

ISBN 10

052110582X

ISBN 13

9780521105828

Rilegatura

Paperback

Condizione

new

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Riassunto

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

Recensione

"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

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