Elementary proof of constructive versions of the tangent direction theorem and the implicit function theorem

DOI10.1134/S1064562412010097zbMath1251.26011OpenAlexW2007125089MaRDI QIDQ416916

Alexey A. Tret'yakov, Yuri G. Evtushenko

Publication date: 10 May 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412010097

zbMATH Keywords

nonlinear systemiterative methodimplicit function theorem

Mathematics Subject Classification ID

Newton-type methods (49M15) Implicit function theorems, Jacobians, transformations with several variables (26B10) Calculus of vector functions (26B12)

Related Items (3)

New perspective on some classical results in analysis and optimization ⋮ pth-order approximation of the solution set of nonlinear equations ⋮ \(p\)th-order numerical methods for solving systems of nonlinear equations

Cites Work

• Unnamed Item
• Elementary proof of classical necessary optimality conditions for a mathematical programming problem with inequality constraints
• Parallel implementation of Newton’s method for solving large-scale linear programs

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