One-parameter families of optimization problems: equality constraints

DOI10.1007/BF00938594zbMath0556.90086OpenAlexW1502989271MaRDI QIDQ762066

Hubertus Th. Jongen, Frank Twilt, Peter Jonker

Publication date: 1986

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00938594

zbMATH Keywords

parametric optimizationequality constraintsMorse indexgeneralized critical pointsstationary pointslinear indexquadratic index

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31)

Related Items (17)

Structure of the first-order solution set for a class of nonlinear programs with parameters ⋮ Path-following energy optimization in unilateral contact problems ⋮ Critical sets in parametric optimization ⋮ Pathfollowing methods in nonlinear optimization III: Lagrange multiplier embedding ⋮ Elastic-mode algorithms for mathematical programs with equilibrium constraints: global convergence and stationarity properties ⋮ Bifurcation problems in nonlinear parametric programming ⋮ A noninterior path following algorithm for solving a class of multiobjective programming problems ⋮ Slopes of shadow prices and Lagrange multipliers ⋮ Genericity Analysis for Path‐Following Methods. Application in Unilateral Contact Elastostatics ⋮ Unnamed Item ⋮ On parametric nonlinear programming ⋮ On the singularities in linear one-parametric optimization problems^* ⋮ Embedding methods for solving variational inequalities ⋮ Bifurcations in parametric nonlinear programming ⋮ On the stratification of a class of specially structured matrices ⋮ A bifurcation analysis of the nonlinear parametric programming problem ⋮ Vector optimization: Singularities, regularizations

Cites Work

• Singularity theory and an introduction to catastrophe theory
• Morse Theorie für berandete Mannigfaltigkeiten. (Morse theory for bounded manifolds)
• Continuous deformation of nonlinear programs
• Critical sets in parametric optimization
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