Nonnegative matrices and applications [electronic resource] / R.B. Bapat, T.E.S. Raghavan.

By:

Bapat, R. B [author.]

Contributor(s):

Raghavan, T. E. S [author.]

Material type: Text

TextSeries: Encyclopedia of mathematics and its applications ; v. 64.Publication details: UK : Cambridge University Press, c1997.Description: 1 online resource (xiii, 336 pages) : digital, PDF file(s)ISBN:

9780511529979 (ebook)

Other title:

Nonnegative Matrices & Applications

Subject(s):

Non-negative matrices

Additional physical formats: Print version: : No titleDDC classification:

512.943 BAP

Contents:

Preface Perron-Frobenius theory and matrix games Doubly stochastic matrices Inequalities Conditionally positive definite matrices Topics in combinatorial theory Scaling problems and their applications Special matrices in economic models References Index Author index Table of Contents provided by Publisher. All Rights Reserved.

Summary: This book provides an integrated treatment of the theory of nonnegative matrices (matrices with only positive numbers or zero as entries) and some related classes of positive matrices, concentrating on connections with game theory, combinatorics, inequalities, optimisation and mathematical economics. The wide variety of applications, which include price fixing, scheduling and the fair division problem, have been carefully chosen both for their elegant mathematical content and for their accessibility to students with minimal preparation. Many results in matrix theory are also presented. The treatment is rigorous and almost all results are proved completely. These results and applications will be of great interest to researchers in linear programming, statistics and operations research. The minimal prerequisites also make the book accessible to first-year graduate students.

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Item type	Current library	Collection	Call number	Status	Date due	Barcode
Project book	CUTN Central Library Sciences	Non-fiction	512.943 BAP (Browse shelf(Opens below))	Checked out to Renuka Devi V (20019T)	31/01/2024	48861

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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Preface
Perron-Frobenius theory and matrix games
Doubly stochastic matrices
Inequalities
Conditionally positive definite matrices
Topics in combinatorial theory
Scaling problems and their applications
Special matrices in economic models
References
Index
Author index
Table of Contents provided by Publisher. All Rights Reserved.

Online version restricted to NUS staff and students only through NUSNET.

This book provides an integrated treatment of the theory of nonnegative matrices (matrices with only positive numbers or zero as entries) and some related classes of positive matrices, concentrating on connections with game theory, combinatorics, inequalities, optimisation and mathematical economics. The wide variety of applications, which include price fixing, scheduling and the fair division problem, have been carefully chosen both for their elegant mathematical content and for their accessibility to students with minimal preparation. Many results in matrix theory are also presented. The treatment is rigorous and almost all results are proved completely. These results and applications will be of great interest to researchers in linear programming, statistics and operations research. The minimal prerequisites also make the book accessible to first-year graduate students.

Mode of access: World Wide Web.

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