Some global optimization problems on Stiefel manifolds

DOI10.1007/s10898-004-0574-9zbMath1136.90507OpenAlexW2021019555MaRDI QIDQ1768631

Tamás Rapcsák, János Balogh, Tibor Csendes

Publication date: 15 March 2005

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-004-0574-9

zbMATH Keywords

Nonlinear optimizationStiefel manifoldsQuadratic equality constraints

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Programming in abstract spaces (90C48) Applications of variational problems to control theory (58E25)

Related Items (8)

Transportless conjugate gradient for optimization on Stiefel manifold ⋮ Maximum likelihood estimation of nonnegative trigonometric sum models using a Newton-like algorithm on manifolds ⋮ Gauss-Newton method for convex composite optimizations on Riemannian manifolds ⋮ The GLOBAL optimization method revisited ⋮ First order optimality conditions and steepest descent algorithm on orthogonal Stiefel manifolds ⋮ A Riemannian conjugate gradient method for optimization on the Stiefel manifold ⋮ A framework of constraint preserving update schemes for optimization on Stiefel manifold ⋮ Maximizing sum of coupled traces with applications

Uses Software

• INTOPT_90

Cites Work

• A collection of test problems for constrained global optimization algorithms
• Handbook of test problems in local and global optimization
• Handbook of global optimization
• Rigorous global search: continuous problems
• Extrema of sums of heterogeneous quadratic forms
• Some optimization problems in multivariate statistics
• A new multisection technique in interval methods for global optimization
• On minimization on Stiefel manifolds
• P-Complete Approximation Problems
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