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The elements of A^-1 at the positions of the factor's pattern. It is what PEV and accuracy read, and the only part of the inverse one can afford: the full inverse of the coefficient matrix is dense.

Usage

selected_inverse(a, block = 0L)

Arguments

a

list i, j, x, n with the triplets

block

0 detects the dense tail and uses the closed form; 1 forces the pure recurrence, which exists so the tests can compare the two paths.

Value

a list i, j, x, n with the computed elements of the inverse in triplets, on the pattern of the factor. A position outside that pattern is absent, which is not the same as being zero.

Details

A position OUTSIDE the pattern is not zero, it is unknown. The result only carries the ones that were computed.

References

Takahashi, K., Fagan, J. & Chin, M.-S. (1973). Formation of a sparse bus impedance matrix and its application to short circuit study. Proceedings of the 8th PICA Conference, 63-69.