In this paper we introduce a new decomposition called the pivoted QLP decomposition. It is computed by applying pivoted orthogonal triangulariza-tion to the columns of the matrix X in question to getâ€¦ (More)

In many applications---latent semantic indexing, for example---it is required to obtain a reduced rank approximation to a sparse matrix <i>A</i>. Unfortunately, the approximations based onâ€¦ (More)

abstract The singular value decomposition has a number of applications in digital signal processing. However, the the decomposition must be computed from a matrix consisting of both signal and noise.â€¦ (More)

This paper concerns the Rayleighâ€“Ritz method for computing an approximation to an eigenspace X of a general matrix A from a subspace W that contains an approximation to X . The method produces a pairâ€¦ (More)