On Matrix decomposition
In order to complete the previous post on unitary matrix decomposition (sum) , I give here two interesting links about other known matrix decomposition :
- http://en.wikipedia.org/wiki/Matrix_decomposition
- http://www.ece.northwestern.edu/~mya671/files/Matrix_YM_.pdf
In quantum physics we love to use unitary operations, so here are the decompositions involving unitary matrices. We have U,V unitary, T,R triangular, Q orthogonal and D diagonal :
- Schur Decomposition :
- Singular Value Decomposition :
- QZ decomposition (generalized Schurr) :
- QR decomposition :
Do you use other useful unitary decomposition?
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