Numerical Polynomial Algebra
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Author(s): H. Stetter
Publisher: SIAM
ISBN: 0898715571
Format: softback
472pp
Price: $92.50
Review Date: 10 May 2004
Review: This textbook provides a comprehensive treatment of numerical polynomial algebra, an area that falls between classical numerical analysis and computer algebra. It introduces a conceptual framework that allows the meaningful solution of various algebraic problems that have multivariate polynomial equations with coefficients with some indeterminacy. This involves a combination of numerical linear algebra and commutative algebra. The book also provides a survey of polynomial problems in scientific computing that can be solved numerically and a guide to their numerical treatment. There are chapters on: polynomials; representations of polynomial ideals; polynomials with coefficients of limited accuracy; approximate numerical computation; univariate polynomials; various tasks with empirical univariate polynomials; one multivariate polynomial; zero-dimensional systems of multivariate polynomials; systems of empirical multivariate polynomials; numerical basis computation; and matrix eigenproblems for positive-dimensional systems.