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Compute the inverse of the sparse square matrix a. Return an estimate of the reciprocal condition number if requested, otherwise warn of an ill-conditioned matrix if the reciprocal condition number is small. This function takes advantage of the sparsity of the matrix to accelerate the calculation of the inverse.
In general x will be a full matrix, and so if possible forming the inverse of a sparse matrix should be avoided. It is significantly more accurate and faster to do y
=
a\
b, rather than y= spinv (
a) *
b.