Given positive numbers $a_1,\ldots, a_m, b_1,\ldots, b_n$, define a $m\times n$ matrix
$X_{ij}=(a_i-b_j)/(a_i+b_j)$.
It is a bit similar to the Hilbert matrix.
The question is whether its spectral norm can be upper bounded by some absolute constant?
2026-02-24 02:46:46.1771901206
Norm of a generalized Hilbert matrix
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