Value Function Calculus and Applications

DOI10.1007/978-981-15-1592-7_13zbMath1437.90150OpenAlexW3004578485MaRDI QIDQ3299974

Kazufumi Ito

Publication date: 27 July 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-1592-7_13

zbMATH Keywords

sensitivity analysisconstrained optimizationoptimal value functionparameter dependent optimizationvalue function calculus and applications

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) Existence of solutions for minimax problems (49J35) Optimization of shapes other than minimal surfaces (49Q10) Numerical solution to inverse problems in abstract spaces (65J22)

Uses Software

• PLCP
• SQPlab

Cites Work

• Unnamed Item
• Introduction to sensitivity and stability analysis in nonlinear programming
• Structural optimization using sensitivity analysis and a level-set method.
• Optimal control of elliptic variational inequalities
• A computational method for design sensitivity analysis of elastoplastic structures
• Perturbation approach to sensitivity analysis in mathematical programming
• Inverse Problems
• Shapes and Geometries
• A Regularization Parameter for Nonsmooth Tikhonov Regularization
• Lagrange Multiplier Approach to Variational Problems and Applications
• Variational approach to shape derivatives
• On the Choice of the Regularization Parameter in Nonlinear Inverse Problems
• On a theorem of Danskin with an application to a theorem of Von Neumann-Sion
• Path-following Methods for a Class of Constrained Minimization Problems in Function Space
• Numerical optimization. Theoretical and practical aspects. Transl. from the French

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