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Error-Free Polynomial Matrix Computations

Name: Error-Free Polynomial Matrix Computations
Brand: Springer-Verlag New York Inc.
SKU: 06796025
Price: 19829 HUF
Availability: InStock
Author: E. V. Krishnamurthy
ISBN: 9781461295723

E. V. Krishnamurthy

Language

English

Book Paperback

Libristo code: 06796025

Publishers Springer-Verlag New York Inc., September 2011

This book is written as an introduction to polynomial matrix computa tions. It is a companion volume... Full description

Libristo code: 06796025

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This book is written as an introduction to polynomial matrix computa tions. It is a companion volume to an earlier book on Methods and Applications of Error-Free Computation by R. T. Gregory and myself, published by Springer-Verlag, New York, 1984. This book is intended for seniors and graduate students in computer and system sciences, and mathematics, and for researchers in the fields of computer science, numerical analysis, systems theory, and computer algebra. Chapter I introduces the basic concepts of abstract algebra, including power series and polynomials. This chapter is essentially meant for bridging the gap between the abstract algebra and polynomial matrix computations. Chapter II is concerned with the evaluation and interpolation of polynomials. The use of these techniques for exact inversion of poly nomial matrices is explained in the light of currently available error-free computation methods. In Chapter III, the principles and practice of Fourier evaluation and interpolation are described. In particular, the application of error-free discrete Fourier transforms for polynomial matrix computations is consi dered.