Some numerical results using a sparse matrix updating formula in unconstrained optimization

Author:
Ph. L. Toint

Journal:
Math. Comp. **32** (1978), 839-851

MSC:
Primary 65K05

DOI:
https://doi.org/10.1090/S0025-5718-1978-0483452-7

MathSciNet review:
0483452

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Abstract | References | Similar Articles | Additional Information

Abstract: This paper presents a numerical comparison between algorithms for unconstrained optimization that take account of sparsity in the second derivative matrix of the objective function. Some of the methods included in the comparison use difference approximation schemes to evaluate the second derivative matrix and others use an approximation to it which is updated regularly using the changes in the gradient. These results show what method to use in what circumstances and also suggest interesting future developments.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1978-0483452-7

Keywords:
Numerical results,
sparsity,
quasi-Newton methods,
unconstrained optimization

Article copyright:
© Copyright 1978
American Mathematical Society