Updating URV Decompositions in Parallel
Аннотации
A URV decomposition of a matrix is a factorization of the matrix into
the product of a unitary matrix (U), an upper triangular matrix (R),
and another unitary matrix (V). In an earlier paper [UMIACS-TR-90-86]
it was shown how to update a URV decomposition in such a way that it
reveals the effective rank of the matrix. It was also argued that the
updating procedure could be implemented in parallel on a linear array
of processors; however, no specific algorithms were given. This paper
gives a detailed implementation of the updating procedure.
(Also cross-referenced as UMIACS-TR-92-44)