A Conjugate Points Theory for a Nonlinear Programming Problem

DOI10.1137/S0363012900368831zbMath1011.90037OpenAlexW2013777898MaRDI QIDQ2719152

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Publication date: 21 June 2001

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

Full work available at URL: https://doi.org/10.1137/s0363012900368831

zbMATH Keywords

conjugate pointspositive-definiteshortest path problemprincipal minorsJacobi equationSylvester's criterionLegendre conditionstrict conjugate points

Mathematics Subject Classification ID

Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Optimality conditions for problems involving ordinary differential equations (49K15) Functions of several variables (26B99)

Related Items (3)

Nonnegativity of a discrete quadratic functional in terms of the (strengthened) Legendre and Jacobi conditions ⋮ Discrete Optimal Control: Second Order Optimality Conditions ⋮ Second Order Sufficiency Criteria for a Discrete Optimal Control Problem

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