Post-optimality sensitivity analysis in abstract spaces with applications to continuous-time programming problems

DOI10.1007/BF00938440zbMath0542.90095OpenAlexW1995089037MaRDI QIDQ795750

N. E. Zubov

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf00938440

zbMATH Keywords

Fréchet differentiabilitysensitivity analysisperturbationapproximationstability theorygeneralized inverse operatorscontinuous-time linear programmingconcave objective functionalcontinuity resultsconvex operator inequality contraintsrate of change

Mathematics Subject Classification ID

Convex programming (90C25) Sensitivity, stability, parametric optimization (90C31) Fréchet and Gateaux differentiability in optimization (49J50) Programming in abstract spaces (90C48) Methods of successive quadratic programming type (90C55)

Cites Work

• A spectral theory for certain operators on a direct sum of Hilbert spaces
• Duality in continuous linear programming
• Sensitivity analysis for nonlinear programming using penalty methods
• COMPLEMENTED SUBSPACES IN BANACH SPACES
• A note on generalized inverses
• Stability in Nonlinear Programming
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