A bifurcation analysis of the nonlinear parametric programming problem

DOI10.1007/BF01580856zbMath0722.90072MaRDI QIDQ757253

C. A. Tiahrt, Aubrey B. Poore

Publication date: 1990

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

zbMATH Keywords

bifurcationsingularityFritz John first-order necessary conditionsnonlinear parametric programming

Mathematics Subject Classification ID

Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31)

Related Items (4)

Regular and Critical States in Elastic Nonlinear Systems with Displacement Constraints ⋮ An algorithm constructing solutions for a family of linear semi-infinite problems. ⋮ Bifurcations in piecewise-smooth steady-state problems: abstract study and application to plane contact problems with friction ⋮ Bifurcations in parametric nonlinear programming

Cites Work

• One-parameter families of optimization problems: equality constraints
• Introduction to sensitivity and stability analysis in nonlinear programming
• Theory of multiobjective optimization
• Singularities and groups in bifurcation theory. Volume I
• The Fritz John necessary optimality conditions in the presence of equality and inequality constraints
• Bifurcation from simple eigenvalues
• Continuous deformation of nonlinear programs
• Structure of the first-order solution set for a class of nonlinear programs with parameters
• Critical sets in parametric optimization
• Bifurcation problems in nonlinear parametric programming
• Strongly Regular Generalized Equations
• Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
• Application of Degree Theory in Stability of the Complementarity Problem
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