Polynomial and Matrix Computations : Fundamental Algorithms

Victor Y. Pan

ISBN 10: 0817637869 / ISBN 13: 9780817637866

Published by Birkhäuser Boston, Birkhäuser Boston, 1994

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9780817637866

Bibliographic Details

• Title: Polynomial and Matrix Computations : Fundamental Algorithms
• Publisher: Birkhäuser Boston, Birkhäuser Boston
• Publication Date: 1994
• Language: English
• ISBN 10: 0817637869
• ISBN 13: 9780817637866
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 28D millimeters 241 millimeters width by 160 millimeters height by 28 millimeters depth
• Weight: 816 grams

About this title

Synopsis

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.

Review

"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.