A method for maximizing matrix columns
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 2, pp. 113-119
We describe a singular-value decomposition method, where one-side rotation is used. The algorithm is also applied for a symmetrical spectral problem for matrices.
@article{FPM_2008_14_2_a5,
author = {V. G. Lezhnev},
title = {A~method for maximizing matrix columns},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {113--119},
year = {2008},
volume = {14},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2008_14_2_a5/}
}
V. G. Lezhnev. A method for maximizing matrix columns. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 2, pp. 113-119. http://geodesic.mathdoc.fr/item/FPM_2008_14_2_a5/
[1] Golub Dzh., Van Loun Ch., Matrichnye vychisleniya, Mir, M., 1999
[2] Demmel Dzh., Vychislitelnaya lineinaya algebra. Teoriya i prilozheniya, Mir, M., 2001
[3] Lezhnev V. G., “Metod resheniya algebraicheskoi spektralnoi zadachi”, Chislennye metody analiza, Izd-vo Mosk. un-ta, M., 1995, 16–22
[4] Faddeeva V. N., Kolotilina L. Yu., Vychislitelnye metody lineinoi algebry. Nabor matrits dlya testirovaniya, Vyp. I–III, LOMI AN SSSR, Leningrad, 1982
[5] Lezhnev V. G., Nesterenko A. G., “Some estimate for generalized algebraic spectral problem”, Spectral and Evaluational Problems, Proc. of the 7th Crimean Autumn Mathematical School-Symphosium. Vol. 7, Simferopol, 1997, 61–62