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Results tagged with linear-algebra
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user 153260
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
3
votes
1
answer
202
views
Exponential growth of shortest vector norm for successive lattices corresponding to powers o...
Let $A\in M_{2\times 2}(\mathbb{Z}) $ be a two by two integer matrix such that $0,\pm 1$ are not eigenvalues of $A$ and $\left|\det(A)\right|>1$. I am interested in the growth of the norm shortest vec …
2
votes
Operator norm of some type of discrete Fourier matrix
You can use the $F_wF_w^*$ argument to calculate the operator norm of the matrix. In fact we have that the elements of $ F_w $ are of the form $f_{kn} = \lambda^k_n $.
So the entries of $F_wF_w^*$ are …