clopen.solutions

Open problems

980 registered problems.

OP-00105 Lean verified
Lemos–Soares singular-value log-majorization
FA · log-majorization · matrix geometric means · OpenProblemsInNLA · singular values
OP-00123 Lean verified
Random column subsets of arbitrary fixed-sparsity matrices
PR · OpenProblemsInNLA · smallest singular values · sparse matrices
OP-00165 Open
Symmetric maximizers for Lyapunov operators of order six
NA · Lyapunov operators · OpenProblemsInNLA · singular values
OP-00195 Partially resolved
Exploit spectral outliers without losing input sparsity
NA · OpenProblemsInNLA · randomized algorithms · singular values · sparse linear systems
OP-00209 Solution claimed
Sharp sparsity threshold for injectivity of a random sparse rectangular matrix
PR · OpenProblemsInNLA · smallest singular values · sparse random matrices · subspace injections
OP-00225 Solution claimed
Sharp row-deletion singular-value limit for spherical random matrices
NA · Kaczmarz methods · OpenProblemsInNLA · random matrices · smallest singular values
OP-00226 Solution claimed
Optimal uniform row-deletion singular-value constant
NA · corrupted linear systems · Kaczmarz methods · OpenProblemsInNLA · smallest singular values
OP-00235 Solution claimed
A dimension-independent polynomial norm bound from super-identical pseudospectra
NA · matrix polynomials · OpenProblemsInNLA · pseudospectra · singular values
OP-00274 Solution claimed
Sharp least-singular-value bounds for independent random tensor columns
PR · AIM Open Applied Problems · random matrices · random tensors · singular values