Methods for solving degenerate problems

DOI10.1016/0041-5553(88)90116-4zbMath0684.65051OpenAlexW2007423776MaRDI QIDQ4734680

K. N. Belash, Alexey A. Tret'yakov

Publication date: 1988

Published in: USSR Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0041-5553(88)90116-4

zbMATH Keywords

optimality conditionssingular Jacobiansingular Hessiandegenerate test problemsfree extremal problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical computation of solutions to systems of equations (65H10) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (13)

The triviality condition for kernels of quadratic mappings and its application in optimization methods ⋮ pth-order approximation of the solution set of nonlinear equations ⋮ High order stability conditions for degenerate optimization problems; elements of \(p\)-regularity theory ⋮ Necessary and Sufficient Optimality Conditions for Non-regular Problems ⋮ Locally polynomial method for solving systems of linear inequalities ⋮ A new view of some fundamental results in optimization ⋮ On the existence of solutions to nonlinear equations involving singular mappings with non-zero \(p\)-kernel ⋮ New implementations of the 2-factor method ⋮ \(p\)-factor methods for nonregular inequality-constrained optimization problems ⋮ Thep-Factor-Lagrange Methods for Degenerate Nonlinear Programming ⋮ 2-factor Newton method for solving constrained optimization problems with a degenerate Kuhn-Tucker system ⋮ Solution method for underdetermined systems of nonlinear equations ⋮ Nonregular mixed-constrained optimization problems

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