John C Nash, J C Nash

Compact Numerical Methods for Computers

• Broschiertes Buch

Produktbeschreibung

Focusing on reliable, compact algorithms for computational problems, this book considers specific mathematical problems of wide applicability, develops approaches to a solution and the consequent algorithm, and provides the program steps. It emphasizes useful applicable methods from various scientific research fields, ranging from mathematical physics to commodity production modeling. This edition now presents program steps as Turbo Pascal code, includes more algorithmic examples, and contains an extended bibliography. The accompanying software includes algorithm source codes, driver programs, example data, and utility codes to aid in the software engineering of end-user programs.

Produktdetails

• Verlag: CRC Press
• 2nd Revised edition
• Seitenzahl: 290
• Erscheinungstermin: 1. Januar 1990
• Englisch
• Abmessung: 241mm x 164mm x 16mm
• Gewicht: 535g
• ISBN-13: 9780852743195
• ISBN-10: 085274319X
• Artikelnr.: 25079841

Autorenporträt

John C. Nash

Inhaltsangabe

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