6
votes
Accepted
Calculate determinant of unitary matrices based on SVD implementation
If you are prepared to go digging around in the fortran code:
The SVD algorithm consists of a few parts:
Bidiagonalization (usually using Householder reflectors)
Use QR shifts to reduce the ...
- 1,189
5
votes
Calculate determinant of unitary matrices based on SVD implementation
For part 1: To my knowledge, the answer is no.
For part 2: This question had several good answers, all of which were negative (there isn't really a faster way). I don't believe there is meaningful new ...
- 1,357
5
votes
My Complex Matrix SVD is Correct according to rule A = USV' but Wrong according to Matlab or any linear algebra library
This should not be possible. $U$ and $V$ may be non-unique in the case where there are repeated singular values, but $s$ must be unique, since it is the sorted list of eigenvalues of $A^*A$ and ...
- 9,065
1
vote
My Complex Matrix SVD is Correct according to rule A = USV' but Wrong according to Matlab or any linear algebra library
I ran your code in MATLAB to reproduce your $U$,$S$,$V$. You stated "A = USV' is confirmed*", but that is not true. What is true is "...
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