QR Factorization with Complete Pivotingand Accurate Computation of the SVDNicholas

Umist Qr Factorization with Complete Pivoting and Accurate Computation of the Svd Departments of Mathematics

QR factorization with complete pivoting and accurate computation of the SVD

A new algorithm of Demmel et al. for computing the singular value decomposition (SVD) to high relative accuracy begins by computing a rank-revealing decomposition (RRD). Demmel et al. analyse the use of Gaussian elimination with complete pivoting (GECP) for computing the RRD. We investigate the use of QR factorization with complete pivoting (that is, column pivoting together with row sorting or...

Image Compression Method Based on QR-Wavelet ‎Transformation

In this paper, a procedure is reported that discuss how linear algebra can be used in image compression. The basic idea is that each image can be represented as a matrix. We apply linear algebra (QR ‎factorization and wavelet ‎transformation ‎algorithm‏s) on this matrix and get a reduced matrix out such that the image corresponding to this reduced matrix requires much less storage space than th...

Efficient evaluation of the residual sum of squares for quantitative trait locus models in the case of complete marker genotype information

Motivation: A core computation of many popular quantitative trait locus, QTL, mapping methods is determining the residual sum of squares, RSS, for a regression of trait values on (pseudo-)marker genotypes. A single evaluation is easily performed using the standard method QR factorization, but together the RSS computations take considerable time and often constitute the major part of the computa...

QR Factorization Based Blind Channel Identification and Equalization with Second-Order Statistics

Most eigenstructure-based blind channel identification and equalization algorithms with second-order statistics need SVD or EVD of the correlation matrix of the received signal. In this paper, we address new algorithms based on QR factorization of the received signal directly without calculating the correlation matrix. This renders the QR factorization-based algorithms more robust against ill-c...