In many cases where Gaussian elimination and LU decomposition fail to give satisfactory results, this set of techniques, known as singular value decomposition, or SVD, will diagnose for you precisely what the problem is. In some cases, SVD will not only diagnose the problem, it will also solve it, in the sense of giving you a useful numerical answer.

nr.h
nrtypes.h
nrutil.h
svdcmp.cpp
xsvdcmp.cpp

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