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Rules and software for detecting rank degeneracy
Authors:Gene Golub  Virginia Klema  Stephen C Peters
Institution:Stanford University, Stanford, CA 94305, USA;Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Abstract:We describe an algorithm that can be used to select a set of independent columns of a matrix when numerical rank can be determined, and we associate the uncertainty of the data with rank selection. Mathematical software written in Fortran which implements this algorithm is available for a variety of computing machines.
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