On the Asymptotic Behavior of Scaled Singular Value and QR Decompositions

G. W. Stewart
1984 Mathematics of Computation  
Asymptotic expressions are derived for the singular value decompositon of a matrix some of whose columns approach zero. Expressions are also derived for the QR factorization of a matrix some of whose rows approach zero. The expressions give insight into the method of weights for approximating the solutions of constrained least squares problems.
doi:10.2307/2008289 fatcat:ljxen3mmhvgv3f7yc32ygahylu