clopen.solutions

Open problems

980 registered problems.

OP-00067 Open
Border rank of the 3×3 matrix product
AG · border rank · matrix multiplication · OpenProblemsInNLA · tensor rank
OP-00127 Open
Border Comon's conjecture over the complex numbers
AG · border ranks · OpenProblemsInNLA · secant varieties · symmetric tensors
OP-00134 Open
Degree-five, six, and nine generation of the Salmon tensor ideal
AG · border ranks · OpenProblemsInNLA · phylogenetic invariants · secant varieties
OP-00182 Open
Explicit tensors with quadratic border rank
AG · border rank · explicit tensors · OpenProblemsInNLA
OP-00210 Lean verified
Equality of ranks for generic odd-order Hankel tensors
AG · border ranks · Hankel tensors · OpenProblemsInNLA · tensor ranks
OP-00216 Solution claimed
Border-rank deficiency forcing strict submultiplicativity at the tensor square
AG · border ranks · OpenProblemsInNLA · secant varieties · tensor products