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Titlebook: Error-Free Polynomial Matrix Computations; E. V. Krishnamurthy Book 1985 Springer-Verlag New York Inc. 1985 Bridging.Diophantine approxima

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书目名称Error-Free Polynomial Matrix Computations
编辑E. V. Krishnamurthy
视频video
丛书名称Monographs in Computer Science
图书封面Titlebook: Error-Free Polynomial Matrix Computations;  E. V. Krishnamurthy Book 1985 Springer-Verlag New York Inc. 1985 Bridging.Diophantine approxima
描述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.
出版日期Book 1985
关键词Bridging; Diophantine approximation; Euclidean algorithm; Matrix; algebra; arithmetic; boundary element me
版次1
doihttps://doi.org/10.1007/978-1-4612-5118-7
isbn_softcover978-1-4612-9572-3
isbn_ebook978-1-4612-5118-7Series ISSN 0172-603X Series E-ISSN 2512-5486
issn_series 0172-603X
copyrightSpringer-Verlag New York Inc. 1985
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0172-603X 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.978-1-4612-9572-3978-1-4612-5118-7Series ISSN 0172-603X Series E-ISSN 2512-5486
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Rachel Sieder (Lecturer in Politics), Lipson [1981], Zariski and Samuel [1975]. Here we shall quickly review these results and in doing so, we shall state many theorems without proof. The reader is directed to the above texts for detailed proofs.
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Algebraic Concepts,, Lipson [1981], Zariski and Samuel [1975]. Here we shall quickly review these results and in doing so, we shall state many theorems without proof. The reader is directed to the above texts for detailed proofs.
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