clopen.solutions

Open problems

980 registered problems.

OP-00073 Open
Chollet's permanent inequality for Hadamard products
FA · Hadamard product · OpenProblemsInNLA · permanents
OP-00074 Open
Lieb's permanental dominance conjecture
FA · generalized matrix functions · immanants · OpenProblemsInNLA · permanents
OP-00103 Lean verified
A q-permanent inequality for subset-preserving permutations
FA · OpenProblemsInNLA · permanents · q-permanents
OP-00141 Open
Marcus's inequality for the permanent of block permanents
FA · block matrices · OpenProblemsInNLA · permanents
OP-00143 Open
The Lih–Wang permanent inequality toward the flat matrix
FA · doubly stochastic matrices · OpenProblemsInNLA · permanents
OP-00173 Open
Super-exponential decay of the zero-permanent probability
PR · anticoncentration · OpenProblemsInNLA · permanents · random matrices
OP-00185 Partially resolved
The least positive permanent of a sign matrix
CO · OpenProblemsInNLA · permanents · sign matrices
OP-00186 Partially resolved
Realizing every sign-matrix permanent with negative entries confined on or above the diagonal
CO · OpenProblemsInNLA · permanents · sign matrices
OP-00263 Partially resolved
The maximum permanent on a positive-semidefinite unitary orbit
FA · OpenProblemsInNLA · permanents · positive semidefinite matrices · unitary orbits