Local Duality of Nonlinear Programs

DOI10.1137/0322012zbMath0533.49008OpenAlexW1972908582MaRDI QIDQ3316082

Okitsugu Fujiwara, Olvi L. Mangasarian, Shih-Ping Han

Publication date: 1984

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: http://digital.library.wisc.edu/1793/58364

zbMATH Keywords

second order optimalityduality of nonlinear programs

Mathematics Subject Classification ID

Nonlinear programming (90C30) Duality theory (optimization) (49N15) Vector spaces, linear dependence, rank, lineability (15A03) Optimality conditions for free problems in two or more independent variables (49K10)

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Primal-dual properties of sequential gradient-restoration algorithms for optimal control problems. II: General problem ⋮ Relative eigenvalues of Hermitian matrices ⋮ On inertia and Schur complement in optimization ⋮ Normality and uniqueness of Lagrange multipliers ⋮ Determining subspaces on which a matrix is nonnegative definite ⋮ Characterization of Positive Definite and Semide Finite Matrices via Quadratic Programming Duality ⋮ Linear Rate Convergence of the Alternating Direction Method of Multipliers for Convex Composite Programming ⋮ Conjugate cone characterization of positive definite and semidefinite matrices ⋮ On uniqueness of Kuhn-Tucker multipliers in nonlinear programming ⋮ An inertia theorem for symmetric matrices and its application to nonlinear programming ⋮ On the use of augmented Lagrangians in the solution of generalized semi-infinite min-max problems

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