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Results tagged with block-matrices
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user 8430
5
votes
How to prove this determinant is positive?
It seems that the claim could hold. In particular, we have a sufficient condition under which the claimed inequality holds.
Let each $B_i$ be a real $d\times d$ matrix.
[EDIT:] If there exists a mat …
- 28.6k
3
votes
Accepted
Factorizing a block symmetric matrix
Assuming that $X$ and $Y$ are invertible (if not, probably a perturbation argument will yield the generalization). Then, the following choice of $M$ works, i.e., $MDM^T$ equals your original matrix wi …
- 28.6k
2
votes
Showing block diagonal structure of matrix by reordering
You might want to have a look at the Cuthill-KcKee algorithm and from there perhaps also chase the other sparse matrix reordering algorithms. The abovecited method seeks to minimize the bandwidth of a …
- 28.6k