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bcf9277 @tpapp Major reorganization.
authored
1 * Row-major
2
3 ** Matrix multiplication
4
5 $$C=AB$$
6
7 $$C^T=(AB)^T=B^T A^T$$
8
9 *possible*
10
11 ** Solve/LU factorization
12
13 ** Hermitian factorization
14
15 $$A=LDL^T$$
16 $$A^T=(LDL)^T=L^T D^T L$$
17
18 *possible*
19
20 ** Inversion
21
22 same as solve
23
24 ** Least squares
25
26 *will require a transpose*
27
28 ** QR
29
30 *will require a transpose*
31
32 ** Cholesky
33
34 $$A=LL^T$$
35 $$A^T=L^TL$$
36
37 *possible*
38
39 ** SVD
40
41 $$A=UDV^T$$
42 $$A^T=(UDV^T)^T = VD^TU^T$$
43
44 *possible*
45
46 ** determinant
47
48 just uses the diagonals of decompositions, representation irrelevant
49
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