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An improved version of the original leap-frog dynamic method for unconstrained minimization: LFOP1(b). (English) Zbl 0548.65046
Summary: A modified version of the author’s original dynamic algorithm for unconstrained minimization is proposed [ibid. 6, 449-462 (1982; Zbl 0501.65026)]. It employs time step selection procedure which results in a more efficient utilization of the original dynamic algorithm. The performance of the new algorithm is compared with that of a well established conjugate gradient algorithm when applied to three different extended test functions. Based on a comparison of the respective CPU times required for convergence, the new algorithm appears to be competitive.

MSC:
65K05 Numerical mathematical programming methods
90C30 Nonlinear programming
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References:
[1] Snyman, J.A, A new and dynamic method for unconstrained minimization, Appl. math. modelling, 6, 449, (1982) · Zbl 0501.65026
[2] Snyman, J.A, A new convergent minimization method for functions with positive definite Hessian matrices, () · Zbl 0678.65042
[3] ()
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