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Approximate Hessian matrices and second-order optimality conditions for nonlinear programming problems with C1-data

Published online by Cambridge University Press:  17 February 2009

V. Jeyakumar  and
X. Wang
V. Jeyakumar
Affiliation:
Department of Applied Mathematics, University of New South Wales, Sydney 2052, Australia
X. Wang
Affiliation:
Department of Applied Mathematics, University of New South Wales, Sydney 2052, Australia
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Abstract

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In this paper, we present generalizations of the Jacobian matrix and the Hessian matrix to continuous maps and continuously differentiable functions respectively. We then establish second-order optimality conditions for mathematical programming problems with continuously differentiable functions. The results also sharpen the corresponding results for problems involving C1.1-functions.

Type
Research Article
Information
The ANZIAM Journal , Volume 40 , Issue 3 , January 1999 , pp. 403 - 420
Copyright
Copyright © Australian Mathematical Society 1999

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