clopen.solutions

Open problems

980 registered problems.

OP-00078 Lean verified
Exponential smoothed tail bounds for partial pivoting
NA · Gaussian elimination · growth factors · OpenProblemsInNLA · smoothed analysis
OP-00079 Lean verified
Exact extremizers for partial pivoting on orthogonal matrices
NA · Gaussian elimination · growth factors · OpenProblemsInNLA · orthogonal matrices
OP-00188 Open
Cryer's Hadamard complete-pivoting conjecture
NA · Gaussian elimination · growth factors · Hadamard matrices · OpenProblemsInNLA
OP-00189 Open
The exact fifth complete-pivoting growth factor
NA · Gaussian elimination · growth factors · OpenProblemsInNLA
OP-00218 Solution claimed
The square-root upper bound for Gaussian partial-pivoting growth
NA · Gaussian elimination · growth factors · OpenProblemsInNLA · random matrices
OP-00222 Solution claimed
Sharp growth for unequal lower and upper bandwidths
NA · banded matrices · Gaussian elimination · growth factors · OpenProblemsInNLA
OP-00223 Solution claimed
Sharp growth for cyclic tridiagonal matrices
NA · Gaussian elimination · growth factors · OpenProblemsInNLA · tridiagonal matrices
OP-00224 Solution claimed
Exact small-order growth factors for rook pivoting
NA · Gaussian elimination · growth factors · OpenProblemsInNLA · rook pivoting