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How much do approximate derivatives hurt filter methods?

Caroline Sainvitu (2009)

RAIRO - Operations Research

In this paper, we examine the influence of approximate first and/or second derivatives on the filter-trust-region algorithm designed for solving unconstrained nonlinear optimization problems and proposed by Gould, Sainvitu and Toint in [12]. Numerical experiments carried out on small-scaled unconstrained problems from the CUTEr collection describe the effect of the use of approximate derivatives on the robustness and the efficiency of the filter-trust-region method.

Hybrid flow-shop with adjustment

Jan Pelikán (2011)

Kybernetika

The subject of this paper is a flow-shop based on a case study aimed at the optimisation of ordering production jobs in mechanical engineering, in order to minimize the overall processing time, the makespan. The production jobs are processed by machines, and each job is assigned to a certain machine for technological reasons. Before processing a job, the machine has to be adjusted; there is only one adjuster who adjusts all of the machines. This problem is treated as a hybrid two-stage flow-shop:...

Hybrid iterative methods for convex feasibility problems and fixed point problems of relatively nonexpansive mappings in Banach spaces.

Plubtieng, Somyot, Ungchittrakool, Kasamsuk (2008)

Fixed Point Theory and Applications [electronic only]

Hybrid method for a class of stochastic bi-criteria optimization problems.

Wan, Zhong, Hao, Aiyun, Meng, Fuzheng, Hu, Chaoming (2010)

Journal of Inequalities and Applications [electronic only]

Hybrid PSO and GA for global maximization.

Mesloub, Said, Mansour, Abdelouahab (2009)

International Journal of Open Problems in Computer Science and Mathematics. IJOPCM

Hybrid search for optimum in a small implicitly defined region

A. Žilinskas (2004)

Control and Cybernetics

Hyperbolische Transformation konvexer Polyeder

Ralf Gollmer (1981)

Aplikace matematiky

Der Artikel beschäftigt sich mit einigen Eigenschaften von hyperbolischen, d. h. gebrochen-affinen, Transformationen, welche für die Bilder konvexer Polyeder bei solchen Transformationen von Bedeutung sind. Es wird eine explizite Darstellung des Bildes eines konvexen Polyeders durch Ecken und Kanten des Urbildpolyeders gewonnen, die Konvexität des Bildes und das Bild des relativen Inneren einer konvexen Menge untersucht.