Exit from Singularity. New Optimization Methods and the p-Regularity Theory Applications

DOI10.1007/978-3-030-91059-4_1zbMath1527.49014MaRDI QIDQ6488342

Yuri G. Evtushenko, Vlasta Malkova, Alexey A. Tret'yakov

Publication date: 13 April 2023

Mathematics Subject Classification ID

Newton-type methods (49M15) Set-valued and variational analysis (49J53) Existence theories for problems in abstract spaces (49J27) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Cites Work

• A Newton method for linear programming
• Generalized Lagrange multiplier technique for nonlinear programming
• Factor-analysis of nonlinear mappings: \(p\)-regularity theory
• The implicit function theorem in degenerate problems
• Methods for solving degenerate problems
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