John C. Nash

Compact Numerical Methods for Computers (eBook, PDF)

Linear Algebra and Function Minimisation

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 278
• Erscheinungstermin: 13. Dezember 2018
• Englisch
• ISBN-13: 9781351459563
• Artikelnr.: 54796007

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