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Wednesday, August 22, 2007
4:00 PM - 4:30 PM
CNLS Conference Room (TA-3, Bldg 1690)

Seminar

Recursive Inverse Factorization

Emanuel Rubensson
Royal Institute of Technology

A recursive algorithm for the inverse factorization S^-1 = ZZ* of Hermitian positive definite matrices S is proposed. Iterative refinement [A.M.N. Niklasson, Phys. Rev. Lett. 70, 193102 (2004)] is combined with a recursive decomposition of S. It is proved that the recursive algorithm always converges if a binary principal submatrix tree is used for the recursive decomposition. As the algorithm uses only matrix--matrix multiplication it can be parallelized and the computational effort increases linearly with system size for sufficiently sparse matrices.

Host: A.M.N. Niklasson