pth-order approximation of the solution set of nonlinear equations

DOI10.1134/S0965542513120051zbMath1313.47147OpenAlexW2071228692MaRDI QIDQ2940334

Yuri G. Evtushenko, Alexey A. Tret'yakov

Publication date: 26 January 2015

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

Full work available at URL: https://doi.org/10.1134/s0965542513120051

zbMATH Keywords

iterative methodsnonlinear equationsdegenerate case\(p\)th-order approximationgeneralized theorem on implicit function

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (3)

A new view of some fundamental results in optimization ⋮ New perspective on the Kuhn-Tucker theorem ⋮ A new proof of the Kuhn-Tucker and Farkas theorems

Cites Work

• Elementary proof of constructive versions of the tangent direction theorem and the implicit function theorem
• Elementary proof of classical necessary optimality conditions for a mathematical programming problem with inequality constraints
• Two schemes for a non-linear method of optimization in extremal problems
• Methods for solving degenerate problems
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