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Description - Numerical Polynomial Algebra by Hans J. Stetter

In many important areas of scientific computing, polynomials in one or more variables are employed in the mathematical modeling of real-life phenomena; yet most of classical computer algebra assumes exact rational data. This book is the first comprehensive treatment of numerical polynomial algebra, an emerging area that falls between classical numerical analysis and classical computer algebra and which has received surprisingly little attention so far. The author introduces a conceptual framework that permits the meaningful solution of various algebraic problems with multivariate polynomial equations whose coefficients have some indeterminacy; for this purpose, he combines approaches of both numerical linear algebra and commutative algebra. For the application scientist, Numerical Polynomial Algebra provides both a survey of polynomial problems in scientific computing that may be solved numerically and a guide to their numerical treatment. In addition, the book provides both introductory sections and novel extensions of numerical analysis and computer algebra, making it accessible to the reader with expertise in either one of these areas.

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Book Details

ISBN: 9780898715576
ISBN-10: 0898715571
Format: Paperback
(229mm x 152mm x 23mm)
Pages: 487
Imprint: Society for Industrial & Applied Mathematics,U.S.
Publisher: Society for Industrial & Applied Mathematics,U.S.
Publish Date: 1-May-2004
Country of Publication: United States

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Author Biography - Hans J. Stetter

Hans J. Stetter is Professor Emeritus of Numerical Mathematics at the Vienna University of Technology, Austria. He is the author of more than 90 publications and has been editor or associate editor of Computing, Numerische Mathematik, Transactions on Numerical Software, Mathematics of Computation, and various other journals. He is a member of the German Academy of Natural Scientists Leopoldina.