Matrices of Sign-Solvable Linear Systems (Hardcover)

Richard A. Brualdi

ISBN 10: 0521482968 / ISBN 13: 9780521482967

Editore: Cambridge University Press, Cambridge, 2008

Riguardo questo articolo

Hardcover. In a sign-solvable linear system, the signs of the coefficients determine the signs of some entries in the solution. This type of system is part of a larger study that helps researchers understand if properties of a matrix can be determined from combinatorial arrangements of its elements. In this book, the authors present the diffuse body of literature on sign-solvability as a coherent whole for the first time, giving many new results and proofs and establishing many new connections. Brualdi and Shader describe and comment on algorithms implicit in many of the proofs and their complexity. The book is self-contained, assuming familiarity only with elementary linear algebra and graph theory. Intended primarily for researchers in combinatorics and linear algebra, it should also be of interest to computer scientists, economists, physicists, chemists, and engineers. In a sign-solvable linear system, the signs of the coefficients determine the signs of some entries in the solution. This type of system is part of a larger study that helps researchers understand if properties of a matrix can be determined from combinatorial arrangements of its elements. In this book, the authors present the diffuse body of literature on sign-solvability as a coherent whole for the first time, giving many new results and proofs and establishing many new connections. Brualdi and Shader describe and comment on algorithms implicit in many of the proofs and their complexity. The book is self-contained, assuming familiarity only with elementary linear algebra and graph theory. Intended primarily for researchers in combinatorics and linear algebra, it should also be of interest to computer scientists, economists, physicists, chemists, and engineers. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9780521482967

Dati bibliografici

• Titolo: Matrices of Sign-Solvable Linear Systems (Hardcover)
• Editore: Cambridge University Press, Cambridge
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 0521482968
• ISBN 13: 9780521482967
• Rilegatura: Hardcover
• Condizione: new

Descrizione articolo

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