Polynomial and Matrix Computations: Fundamental Algorithms / Edition 1

by Dario Bini, Victor Y. Pan

Overview

Our Subjects and Objectives. This book is about algebraic and symbolic computation and numerical computing (with matrices and polynomials). It greatly extends the study of these topics presented in the celebrated books of the seventies, [AHU] and [BM] (these topics have been under-represented in [CLR], which is a highly successful extension and updating of [AHU] otherwise). Compared to [AHU] and [BM] our volume adds extensive material on parallel com­ putations with general matrices and polynomials, on the bit-complexity of arithmetic computations (including some recent techniques of data compres­ sion and the study of numerical approximation properties of polynomial and matrix algorithms), and on computations with Toeplitz matrices and other dense structured matrices. The latter subject should attract people working in numerous areas of application (in particular, coding, signal processing, control, algebraic computing and partial differential equations). The au­ thors' teaching experience at the Graduate Center of the City University of New York and at the University of Pisa suggests that the book may serve as a text for advanced graduate students in mathematics and computer science who have some knowledge of algorithm design and wish to enter the exciting area of algebraic and numerical computing. The potential readership may also include algorithm and software designers and researchers specializing in the design and analysis of algorithms, computational complexity, alge­ braic and symbolic computing, and numerical computation.

Product Details

ISBN-13:	9780817637866
Publisher:	Birkhäuser Boston
Publication date:	08/01/1994
Series:	Progress in Theoretical Computer Science
Edition description:	1994
Pages:	416
Product dimensions:	6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

1. Fundamental Computations with Polynomials..- 2. Fundamental Computations with General and Dense Structured Matrices..- 3. Bit-Operation (Boolean) Cost of Arithmetic Computations..- 4. Parallel Polynomial and Matrix Computations..- Bibliography..- Index..

Editorial Reviews

"We strongly recommend this book as a reference for a graduate course in symbolic computation or computer algebra… An excellent companion for researchers and advanced students."

—SIGSAM Bulletin

"Written in a clear and elegant style… One of the best books in the fields considered."

—Zentralblatt Math.

From the Publisher

Matrix and polynomial computations are fundamental to the theory and practice of computing. The authors present a systematic treatment of algorithms and complexity in these two related areas. Their study of computations with Toeplitz matrices and other dense structured matrices demonstrates the links between numerical and algebraic approaches to computation, both of which are extensively applied. Primarily a text for advanced graduate students in mathematics and computer science, but also useful for designers of algorithms and software and for researchers in algebraic computing, numerical computational mathematics, and numerical analysis. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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