Numerical low-rankness of Hilbert matrix# Computation - 科学计算
g*i
1 楼
given the hilbert matrix (1/(i+j-1))_{i,j} with large
dimension, prove that every of it's off-diagonal
block has small numerical ranks.
this is kind of unclear. but if u do some numerical
experiments, you can see, for the 100x100 hilbert
matrix, the off-diagonal blocks have numerical rank
almost < 10.
one idea is to use taylor.
dimension, prove that every of it's off-diagonal
block has small numerical ranks.
this is kind of unclear. but if u do some numerical
experiments, you can see, for the 100x100 hilbert
matrix, the off-diagonal blocks have numerical rank
almost < 10.
one idea is to use taylor.