On the asymptotic behavior of scaled singular value and 𝑄𝑅 decompositions

G. W. Stewart Β· Mathematics of Computation Β· 1984

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.

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