NEPvATLASA reference for nonlinear eigenvalue problemsInteractive tutorialNotation & theoryReferences
OPTIMIZATION ON STIEFEL MANIFOLDS

From an objective
to an eigenproblem.

31annotated
problems

Part of the deliverable for RGC GRF application, project 12300322.

Objectives, Riemannian gradients and self-consistent-field iterations—with the calculations behind their convergence.

See the ideas behind the proofs

Explore manifolds, gradient projection, KKT conditions, Davis–Kahan and convergence through seven interactive experiments.

Open the interactive tutorial →
READING THE ATLAS

Real matrices, orthonormal columns, and the Euclidean induced Riemannian metric. Correspondence and convergence are separate properties.