clopen.solutions

Open problems

980 registered problems.

OP-00071 Open
Audenaert's two-row Schatten norm-compression conjecture
FA · block matrices · norm inequalities · OpenProblemsInNLA · Schatten norms
OP-00140 Partially resolved
Sharp Schatten triangle constants for the arithmetic symmetric modulus
FA · OpenProblemsInNLA · Schatten norms · symmetric moduli · triangle inequalities
OP-00144 Partially resolved
Sharp subquadratic Lee constants for sums of matrices
FA · matrix absolute values · norm inequalities · OpenProblemsInNLA · Schatten norms
OP-00145 Partially resolved
Dimension-independent Hlawka constants for Schatten norms
FA · Hlawka-type inequalities · norm inequalities · OpenProblemsInNLA · Schatten norms
OP-00172 Open
Query complexity from Schatten to spectral norms
NA · low-rank approximations · OpenProblemsInNLA · query complexity · Schatten norms
OP-00249 Solution claimed
Schatten norm complement involving Lin's positive definite quantity
FA · matrix geometric means · norm inequalities · OpenProblemsInNLA · Schatten norms