A variational problem on Stiefel manifolds

DOI10.1088/0951-7715/19/10/002zbMath1136.49031arXivmath/0609038OpenAlexW2098800318MaRDI QIDQ3417572

Amit K. Sanyal, Peter E. Crouch, Anthony M. Bloch

Publication date: 29 January 2007

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609038

zbMATH Keywords

optimal control problemsdiscrete analogues of rigid body and geodesic flow problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Control problems for functional-differential equations (34K35) Optimality conditions for problems in abstract spaces (49K27) Manifolds and measure-geometric topics (49Q99)

Related Items (6)

Optimization on matrix manifold based on gradient information and its applications in network control ⋮ Clebsch variational principles in field theories and singular solutions of covariant EPDiff equations ⋮ Geodesic flows and Neumann systems on Stiefel varieties: geometry and integrability ⋮ A multi-parameter family of metrics on Stiefel manifolds and applications ⋮ Discrete geodesic flows on Stiefel manifolds ⋮ A Lagrangian approach to extremal curves on Stiefel manifolds

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