Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2001, Volume 4, Number 3, Pages 285–293 (Mi sjvm402)  
On the construction of a normal pseudo-solution for a system of linear equations with a rectangular matrix

A. I. Rozhenko

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
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Abstract: A modified $QR$ factorization algorithm is proposed. It allows us to construct a normal pseudo-solution of a System of Linear Algebraic Equations (SLAE) for a rectangular or square degenerate matrix with the same efficiency as for SLAE with a square nonsingular matrix. As an application, the construction of an analytic spline on a degenerate mesh is studied, and a modified algorithm is proposed to provide the “best” spline solution.
Received: 10.10.2000
Revised: 12.02.2001
Bibliographic databases:
Document Type: Article
UDC: 517.972.5+519.65
Language: Russian
Citation: A. I. Rozhenko, “On the construction of a normal pseudo-solution for a system of linear equations with a rectangular matrix”, Sib. Zh. Vychisl. Mat., 4:3 (2001), 285–293
Citation in format AMSBIB
\Bibitem{Roz01}
\by A.~I.~Rozhenko
\paper On the construction of a normal pseudo-solution for a~system of linear equations with a~rectangular matrix
\jour Sib. Zh. Vychisl. Mat.
\yr 2001
\vol 4
\issue 3
\pages 285--293
\mathnet{http://mi.mathnet.ru/sjvm402}
\zmath{https://zbmath.org/?q=an:0987.65036}
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