On the construction of a normal pseudo-solution for a~system of linear equations with a~rectangular matrix
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 4 (2001) no. 3, pp. 285-293
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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.
@article{SJVM_2001_4_3_a6,
author = {A. I. Rozhenko},
title = {On the construction of a normal pseudo-solution for a~system of linear equations with a~rectangular matrix},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {285--293},
publisher = {mathdoc},
volume = {4},
number = {3},
year = {2001},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2001_4_3_a6/}
}
TY - JOUR AU - A. I. Rozhenko TI - On the construction of a normal pseudo-solution for a~system of linear equations with a~rectangular matrix JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2001 SP - 285 EP - 293 VL - 4 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2001_4_3_a6/ LA - ru ID - SJVM_2001_4_3_a6 ER -
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A. I. Rozhenko. On the construction of a normal pseudo-solution for a~system of linear equations with a~rectangular matrix. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 4 (2001) no. 3, pp. 285-293. http://geodesic.mathdoc.fr/item/SJVM_2001_4_3_a6/