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Explicit univariate global optimization with piecewise linear support functions

Khamisov O. Explicit univariate global optimization with piecewise linear support functions // CEUR Workshop Proceedings. Vol.1623. 2016. P.218-225. Piecewise linear convex and concave support functions combined with Pijavskii's method are proposed to be used for solving global optimization problems. Rules for constructing support ...

Теги: global minimum , piecewise concave and convex functions , support functions , functions , operations research , optimization , piecewise linear techniques , convex functions , global minima , global optimization problems , piecewise linear , univariate , global optim
Раздел: ИСЭМ СО РАН
Algebraic solution of the problems of nonconvex quadratic programming

Khamisov O.V. Algebraic solution of the problems of nonconvex quadratic programming // Automation and Remote Control. Vol.65. No.2. 2004. P.218-226. DOI: 10.1023/B:AURC.0000014718.51686.38 An algebraic approach founded on the Gröbner bases coupled with the necessary optimality conditions of the first order was used to solve the problem of nonconvex quadratic programming. Illustrative numerical examples were presented.

Теги: algebraic solutions , linear functions , market relations , quadratic functions , algebra , computer simulation , functions , matrix algebra , problem solving , regression analysis , set theory , quadratic progr
Раздел: ИСЭМ СО РАН


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