On the asymptotic behavior of scaled singular value and ππ decompositions
- 1 January 1984
- journal article
- Published byΒ American Mathematical Society (AMS)Β inΒ Mathematics of Computation
- Vol.Β 43 Β (168) , 483-489
- https://doi.org/10.1090/s0025-5718-1984-0758196-7
Abstract
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.Keywords
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