Error-Free Polynomial Matrix Computations free ebook download.

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Error-Free Polynomial Matrix Computations free ebook download

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Author(s):	E. V. Krishnamurthy

Date:	1985	Format:	pdf	Language:	English	ISBN/ASIN:	3540961461
Pages:	169	OCR:		Quality:		ISBN13:
Uploader:	rubybook	Upload Date:	2/29/2024 11:01:57 AM

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3540961461 pdf
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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.

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Tags: Computations Error-Free Matrix Polynomial

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