Polynomial and Matrix Computations

Fundamental Algorithms

Dario Bini, Victor Y. Pan (Autoren)

Buch | Softcover

416 Seiten

2012 | Softcover reprint of the original 1st ed. 1994
Springer-Verlag New York Inc.
978-1-4612-6686-0 (ISBN)

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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.

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..

Reihe/Serie	Progress in Theoretical Computer Science
Zusatzinfo	XVI, 416 p.
Verlagsort	New York
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Theorie / Studium ► Algorithmen
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-10	1-4612-6686-6 / 1461266866
ISBN-13	978-1-4612-6686-0 / 9781461266860
Zustand	Neuware