\(p\)-factor methods for nonregular inequality-constrained optimization problems

DOI10.1016/j.na.2007.10.052zbMath1165.90648OpenAlexW1980197233MaRDI QIDQ960189

Ewa Szczepanik, Alexey A. Tret'yakov

Publication date: 16 December 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.10.052

zbMATH Keywords

singularity\(p\)-regularity\(p\)-factor-operator

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30)

Related Items (6)

The triviality condition for kernels of quadratic mappings and its application in optimization methods ⋮ Locally polynomial method for solving systems of linear inequalities ⋮ On reductibility of degenerate optimization problems to regular operator equations ⋮ Irregular optimization models and \(p\)-order Kuhn-Tucker optimality conditions ⋮ Solution method for underdetermined systems of nonlinear equations ⋮ Nonregular mixed-constrained optimization problems

Cites Work

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• Factor-analysis of nonlinear mappings: \(p\)-regularity theory
• The method of gradient descent for minimizing non-convex functions
• Necessary and sufficient conditions for optimality of p-th order
• The implicit function theorem in degenerate problems
• Methods for solving degenerate problems

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