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Trace Minimization Algorithm (Alg 11.13 of book "Parallelism in Matrix Computations")
This project forked from aliciaa/cs51501
Trace Minimization Algorithm (Alg 11.13 of book "Parallelism in Matrix Computations")
This is for CS51501 final project. basic trace minimization alg. Alg 11.13 of book "Parallelism in Matrix Computations" Algorithm 11.13 The Basic trace minimization algorithm L0: Muliti Section L1: Choose a block size s>=p and an n*s matrix V of full rank such that V'BV = I L2: do k=1,2,...until convergence L3: Compute W=AK and the interaction matrix H=V'W L4: Compute the eigenpaires (Y, Thi) of H. (Thi should be arranged asceding order, Y be orthogonal) L5: Compute the corresponding Ritz vector X = V*Y L6: Compute the residuals R = WY - BXThi =(AX-BXThi) L7: Test for convergence L8: Solve the positive-semidefinite linear system(11.66) approximately via the CG scheme L9: B-orthonormalize( X-=delt ) There should be 1 Matlab version and 1 PetC version In future, we hope that we can also get Alg 11.15. Good Luck.
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