Minimum problems on differentiable manifolds

DOI10.1080/02331938908843405zbMath0671.90068OpenAlexW2007572406MaRDI QIDQ3824117

Tamás Rapcsák

Publication date: 1989

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331938908843405

zbMATH Keywords

inequalitiesoptimality conditionsdifferential geometryequalities

Mathematics Subject Classification ID

Nonlinear programming (90C30) Programming in abstract spaces (90C48)

Related Items (9)

Riemannian optimization and multidisciplinary design optimization ⋮ Nonlinear coordinate representations of smooth optimization problems ⋮ On the superlinear convergence of Newton's method on Riemannian manifolds ⋮ Geodesic convexity in nonlinear optimization ⋮ Geodesic convexity on Rⁿ¹₊ ⋮ Nonlinear coordinate transformations for unconstrained optimization. II: Theoretical background ⋮ Optimal placement of a deposit between markets: Riemann-Finsler geometrical approach ⋮ Extrema constrained by a family of curves and local extrema ⋮ Unnamed Item

Cites Work

• Minimizing a differentiable function over a differential manifold
• Foundations of optimization
• A geometric method in nonlinear programming
• Efficiently Converging Minimization Methods Based on the Reduced Gradient
• The Gradient Projection Method Along Geodesics
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