Concept
Singular value
Publications associées (61)
Singular quadratic eigenvalue problems: linearization and weak condition numbers
Daniel Kressner, Ivana Sain Glibic
The numerical solution of singular eigenvalue problems is complicated by the fact that small perturbations of the coefficients may have an arbitrarily bad effect on eigenvalue accuracy. However, it has been known for a long time that such perturbations are ...
SPRINGER2023IMPROVED REGULARITY OF SECOND DERIVATIVES FOR SUBHARMONIC FUNCTIONS
Xavier Fernandez-Real Girona, Riccardo Tione
In this note, we prove that if a subharmonic function Delta u >= 0 has pure second derivatives partial derivative(ii)u that are signed measures, then their negative part (partial derivative(ii)u)- belongs to L-1 (in particular, it is not singular). We then ...
Providence2023Statistical limits of dictionary learning: Random matrix theory and the spectral replica method
Nicolas Macris, Jean François Emmanuel Barbier
We consider increasingly complex models of matrix denoising and dictionary learning in the Bayes-optimal setting, in the challenging regime where the matrices to infer have a rank growing linearly with the system size. This is in contrast with most existin ...
AMER PHYSICAL SOC2022