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Book

Microcomputer Algorithms

Book

Microcomputer Algorithms

DOI link for Microcomputer Algorithms

Microcomputer Algorithms book

Action from Algebra

Microcomputer Algorithms

DOI link for Microcomputer Algorithms

Microcomputer Algorithms book

Action from Algebra
ByJ P Killingbeck
Edition 1st Edition
First Published 1991
eBook Published 26 November 2020
Pub. Location Boca Raton
Imprint CRC Press
DOI https://doi.org/10.1201/9781003071839
Pages 252
eBook ISBN 9781003071839
Subjects Computer Science
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Killingbeck, J.P. (1991). Microcomputer Algorithms: Action from Algebra (1st ed.). CRC Press. https://doi.org/10.1201/9781003071839

ABSTRACT

Although the computing facilities available to scientists are becoming more powerful, the problems they are addressing are increasingly complex. The mathematical methods for simplifying the computing procedures are therefore as important as ever. Microcomputer Algorithms: Action from Algebra stresses the mathematical basis behind the use of many algorithms of computational mathematics, providing detailed descriptions on how to generate algorithms for a large number of different uses.

Covering a wide range of mathematical and physical applications, the book contains the theory of 25 algorithms. The mathematical theory for each algorithm is described in detail prior to discussing the algorithm in full, with complete program listings. The book presents the algorithms in modular form, allowing for easy interpretation, for the adaptation to readers' specific requirements without difficulty, and for use with various microcomputers.

Blending mathematics and programming in one volume, this book will be of broad interest to all scientists and engineers, particularly those physicists using microcomputers for scientific problem handling. Students handling numerical data for research projects will also find the book useful.

TABLE OF CONTENTS

chapter 1|8 pages

General introduction

chapter 2|16 pages

Root-finding methods and their application

chapter 3|25 pages

The Richardson extrapolation method

chapter 4|31 pages

Some interpolation and extrapolation methods

chapter 5|18 pages

The matrix inverse and generalized inverse

chapter 6|43 pages

The matrix eigenvalue problem

chapter 7|18 pages

Two perturbation methods

chapter 8|27 pages

Finite difference eigenvalue calculations

chapter 9|23 pages

Recurrence relation methods

chapter 10|15 pages

Two research problems

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