Newton's method, differential equations, and the Lagrangian principle for necessary extremum conditions

DOI10.1134/S0081543808030127zbMath1165.49023OpenAlexW1967995226MaRDI QIDQ2378016

Vladimir M. Tikhomirov, Gregorij G. Magaril-Il'yaev

Publication date: 5 January 2009

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543808030127

Mathematics Subject Classification ID

Newton-type methods (49M15) Optimality conditions for problems involving ordinary differential equations (49K15) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (4)

Mix of controls and the Pontryagin maximum principle ⋮ A variational approach to Lagrange multipliers ⋮ Lagrange's principle in extremum problems with constraints ⋮ New versions of Newton method: step-size choice, convergence domain and under-determined equations

Cites Work

• Some mapping theorems
• Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
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