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Results tagged with linear-algebra
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user 92082
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
11
votes
0
answers
662
views
Formula or estimates for $\frac{\operatorname{Tr}(AB)}{\operatorname{Tr}(A)}$
Given two positive definite matrices $A,B$ with nonnegative entries, I seek convenient ways to analytically compute or estimate $\frac{\operatorname{Tr}(AB)}{\operatorname{Tr}(A)}$, where $\operatorna …
- 325
4
votes
1
answer
188
views
When does iteration of an infinite Toeplitz matrix converge?
Consider a Toeplitz matrix $T$, indexed by $\mathbb{N}_0 \times \mathbb{N}_0$. given by the sequence $t_k,k \in \mathbb{Z}$ where $t_k \geq 0,\sum_{k=-\infty}^\infty t_k=1$. By this I mean that $T_{i, …
- 325