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-TO DO LIST
-
-
-
-(optional optimization) - do all the allocations in the allocate part
- - support static matrices
- - return a error at compilation time when using integer matrices (int, long, std::complex<int>, ...)
-
-to finish the algorithm :
- -implement the last part of the algorithm as described on the reference paper.
- You may find more information on that part on this paper
-
- -to replace the call to JacobiSVD at the end of the divide algorithm, just after the call to
- deflation.
-
-(suggested step by step resolution)
- 0) comment the call to Jacobi in the last part of the divide method and everything right after
- until the end of the method. What is commented can be a guideline to steps 3) 4) and 6)
- 1) solve the secular equation (Characteristic equation) on the values that are not null (zi!=0 and di!=0), after the deflation
- wich should be uncommented in the divide method
- 2) remember the values of the singular values that are already computed (zi=0)
- 3) assign the singular values found in m_computed at the right places (with the ones found in step 2) )
- in decreasing order
- 4) set the firstcol to zero (except the first element) in m_computed
- 5) compute all the singular vectors when CompV is set to true and only the left vectors when
- CompV is set to false
- 6) multiply naiveU and naiveV to the right by the matrices found, only naiveU when CompV is set to
- false, /!\ if CompU is false NaiveU has only 2 rows
- 7) delete everything commented in step 0)