T.E.S. Raghavan's Books

Nonnegative Matrices and Applications

By: R. B. Bapat,T. E. S. Raghavan

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Nonnegative Matrices and Applications

By: R. B. Bapat,T. E. S. Raghavan

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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Page Count

351

Publisher

Cambridge University Press

Published Date

ISBN 10

0521571677

ISBN 13

9780521571678

Stochastic and Differential Games

Theory and Numerical Methods

By: Martino Bardi,T.E.S. Raghavan,T. Parthasarathy

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Stochastic and Differential Games

Theory and Numerical Methods

By: Martino Bardi,T.E.S. Raghavan,T. Parthasarathy

The theory of two-person, zero-sum differential games started at the be ginning of the 1960s with the works of R. Isaacs in the United States and L. S. Pontryagin and his school in the former Soviet Union. Isaacs based his work on the Dynamic Programming method. He analyzed many special cases of the partial differential equation now called Hamilton Jacobi-Isaacs-briefiy HJI-trying to solve them explicitly and synthe sizing optimal feedbacks from the solution. He began a study of singular surfaces that was continued mainly by J. Breakwell and P. Bernhard and led to the explicit solution of some low-dimensional but highly nontriv ial games; a recent survey of this theory can be found in the book by J. Lewin entitled Differential Games (Springer, 1994). Since the early stages of the theory, several authors worked on making the notion of value of a differential game precise and providing a rigorous derivation of the HJI equation, which does not have a classical solution in most cases; we mention here the works of W. Fleming, A. Friedman (see his book, Differential Games, Wiley, 1971), P. P. Varaiya, E. Roxin, R. J. Elliott and N. J. Kalton, N. N. Krasovskii, and A. I. Subbotin (see their book Po sitional Differential Games, Nauka, 1974, and Springer, 1988), and L. D. Berkovitz. A major breakthrough was the introduction in the 1980s of two new notions of generalized solution for Hamilton-Jacobi equations, namely, viscosity solutions, by M. G. Crandall and P. -L.

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Page Count

404

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817640290

ISBN 13

9780817640293

Nonnegative Matrices and Applications

By: R. B. Bapat,T. E. S. Raghavan

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Nonnegative Matrices and Applications

By: R. B. Bapat,T. E. S. Raghavan

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

351

Publisher

Cambridge University Press

Published Date

ISBN 10

0521571677

ISBN 13

9780521571678

Book's by T.E.S. Raghavan

Nonnegative Matrices and Applications

Nonnegative Matrices and Applications

Stochastic and Differential Games

Stochastic and Differential Games

Nonnegative Matrices and Applications

Nonnegative Matrices and Applications

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