clopen.solutions

Open problems

980 registered problems.

OP-00097 Lean verified
Polynomial conditioning of the cubic C1 spline Schrödinger Toeplitz family
NA · block Toeplitz matrices · condition numbers · isogeometric analysis · OpenProblemsInNLA
OP-00125 Open
Infinite mean condition number in every identifiable tensor format
NA · condition numbers · OpenProblemsInNLA · random tensors · tensor decompositions
OP-00147 Open
Deterministic regularization of the nonsymmetric eigenproblem
NA · deterministic algorithms · eigenvector condition numbers · OpenProblemsInNLA · pseudospectra
OP-00149 Partially resolved
A condition number of two for a sign matrix in every dimension
CO · approximate Hadamard matrices · condition numbers · OpenProblemsInNLA · sign matrices
OP-00150 Partially resolved
The optimal decay exponent for the conditioning of sign matrices
CO · approximate Hadamard matrices · condition numbers · OpenProblemsInNLA · sign matrices
OP-00191 Open
RILU conditioning for the Neumann problem on smooth planar domains
NA · condition numbers · incomplete factorizations · OpenProblemsInNLA · preconditioners
OP-00192 Open
Perturbed MILU conditioning for Neumann problems in two and three dimensions
NA · condition numbers · incomplete LU factorizations · OpenProblemsInNLA · preconditioners
OP-00208 Solution claimed
Finite mean angular condition number for identifiable tensor decomposition
NA · condition numbers · OpenProblemsInNLA · random tensors · tensor decompositions
OP-00220 Solution claimed
Conditioning of a random Krylov compression of a cyclic shift
NA · circulant matrices · eigenvector condition numbers · Krylov subspaces · OpenProblemsInNLA
OP-00257 Solution claimed
Hardness of the spectral-norm condition number
NA · absolute value equations · condition numbers · interval matrices · OpenProblemsInNLA