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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
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Numerically solving for pseudo inverse of non-squared Vandermonde matrix
Vandermonde matrices are famously unstable to solve numerically. Here's some of the latest research on inverting Vandermonde matrixes: https://arxiv.org/abs/1909.08155 -- Mahdi S. Hosseini and Alfred …
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Vandermonde shift
I'm looking for any known results on a shift operator commutated by a Vandermonde matrix. That is, let
$$T=\begin{bmatrix}0 & 1 & 0 & 0 & \cdots \\
0 & 0 & 1 & 0 & \cdots \\
0 & 0 & 0 & 1 & \cdots …