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Conjugate direction algorithms for extended conic functions. (English) Zbl 0597.65059
The author considers the problem of minimizing a function of the form F(q(x),c(x)), where $$q: {\mathbb{R}}^ n\to {\mathbb{R}}$$ is a strictly convex twice continuously differentiable quadratic function, $$c: {\mathbb{R}}^ n\to {\mathbb{R}}$$ is linear, and $$F: {\mathbb{R}}^ 2\to {\mathbb{R}}$$ is twice continuously differentiable and strong monotonically increasing in q. Conjugate direction algorithms are given that minimize functions of this type after a finite number of steps.
Reviewer: M.Bastian
##### MSC:
 65K05 Numerical mathematical programming methods 90C30 Nonlinear programming
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