Optimality conditions: second order

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Explores truncated conjugate gradients for solving the trust-region subproblem in optimization on manifolds efficiently.

Explores matrix-based and matrix-free approaches for computing the Newton step in optimization on manifolds.

Explores algebraic topology and differential geometry in understanding robot dynamics and global behavior.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Introduces optimization on manifolds, covering classical and modern techniques in the field.

Introduces Manopt, a toolbox for optimization on manifolds, focusing on solving optimization problems on smooth manifolds using the Matlab version.

Delves into tangent vectors as equivalence classes on manifolds, highlighting their abstract nature and role in optimization.

Introduces manifolds, charts, atlases, tangent space, tensors, and the metric in curved spaces.

Introduces Manopt, a toolbox for optimization on manifolds, covering gradient and Hessian checks, solver calls, and manual caching.

Explores gradient descent methods for optimizing functions on manifolds, emphasizing small gradient guarantees and global convergence.