Compact Numerical Methods for Computers: Linear Algebra and Function Minimisation

by John C. Nash

Overview

This second edition of Compact Numerical Methods for Computers presents reliable yet compact algorithms for computational problems. As in the previous edition, the author considers specific mathematical problems of wide applicability, develops approaches to a solution and the consequent algorithm, and provides the program steps. He emphasizes usefu

Product Details

ISBN-13:	9781351459556
Publisher:	CRC Press
Publication date:	12/13/2018
Sold by:	Barnes & Noble
Format:	eBook
Pages:	278
File size:	18 MB
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About the Author

John C. Nash

Table of Contents

A starting point Formal problems in linear algebra The singular-value decomposition and its use to solve least-squares problems Handling larger problems Some comments on the formation of the cross-product matrix ATA Linear equations-a direct approach The Choleski decomposition The symmetric positive definite matrix again The algebraic eigenvalue generalized problem Real symmetric matrices The generalized symmetric matrix eigenvalue problem Optimization and nonlinear equations One-dimensional problems Direct search methods Descent to a minimum I-variable metric algorithms Descent to a minimum II-conjugate gradients Minimizing a nonlinear sum of squares Leftovers The conjugate gradients method applied to problems in linear algebra Appendices Bibliography Index

Editorial Reviews

For scientists, statisticians, engineers, and economists who prepare or modify computer programs. Considers a wide range of mathematical problems, develops approaches and algorithms for their solution, and provides specific program steps. The second edition (first in 1979) presents the programs in Turbo Pascal, and includes a bibliography. An accompanying disc is available free from the publisher. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews

Praise for the first edition
"Anyone who must solve complex problems on a small computer would be well advised to consult Nash's book for both ideas and actual procedures. Those with the luxury of a large-scale computer for their numerical work will also find much of interest here."
-Peter Castro (Eastman Kodak), Technometrics, 22 February 1980

From the Publisher