Piyavskij's method for solving the general global optimization problem (Q1802574)

From MaRDI portal





scientific article; zbMATH DE number 205004
Language Label Description Also known as
English
Piyavskij's method for solving the general global optimization problem
scientific article; zbMATH DE number 205004

    Statements

    Piyavskij's method for solving the general global optimization problem (English)
    0 references
    0 references
    6 September 1993
    0 references
    The general global optimization problem with nonlinear constraints (equalities and inequalities) is considered. The author proposes a method of sequential approximation of such a problem by multiextremal problems of special form. The approximated problems are reduced then to concave or dual concave programming problems. Several algorithms for solving auxiliary subproblems are proposed.
    0 references
    nonconvex approximations
    0 references
    global optimization
    0 references
    nonlinear constraints
    0 references
    sequential approximation
    0 references
    dual concave programming
    0 references

    Identifiers