Observed arrival · 2026-09-22
NEPv Atlas: a guided map of nonlinear eigenvalue problems
An annotated mathematical reference that turns Stiefel optimization problems into eigenproblem formulations and interactive convergence tutorials.
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- Researchers and students studying nonlinear eigenvalue problems
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- 31 annotated problems connect objectives, Riemannian gradients, eigenproblems, and convergence
Field notes
The atlas frames optimization on real Stiefel manifolds through a sequence from objectives to gradients, eigenproblems, and convergence. Its examples include principal component analysis and self-consistent-field iterations, while the accompanying notes distinguish correspondence from convergence and identify rate bounds as sufficient conditions. The page attributes the work to an RGC GRF application and project 12300322.
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