Standard

Mean square approximation of a rectangular matrix by matrices of lower rank. / Daugavet, V.A.; Yakovlev, P.V.

In: USSR Computational Mathematics and Mathematical Physics, Vol. 29, No. 5, 1989, p. 147-157.

Research output: Contribution to journal › Article › peer-review

Harvard

Daugavet, VA & Yakovlev, PV 1989, 'Mean square approximation of a rectangular matrix by matrices of lower rank', USSR Computational Mathematics and Mathematical Physics, vol. 29, no. 5, pp. 147-157. https://doi.org/10.1016/0041-5553

APA

Daugavet, V. A., & Yakovlev, P. V. (1989). Mean square approximation of a rectangular matrix by matrices of lower rank. USSR Computational Mathematics and Mathematical Physics, 29(5), 147-157. https://doi.org/10.1016/0041-5553

Vancouver

Daugavet VA, Yakovlev PV. Mean square approximation of a rectangular matrix by matrices of lower rank. USSR Computational Mathematics and Mathematical Physics. 1989;29(5):147-157. https://doi.org/10.1016/0041-5553

Author

Daugavet, V.A. ; Yakovlev, P.V. / Mean square approximation of a rectangular matrix by matrices of lower rank. In: USSR Computational Mathematics and Mathematical Physics. 1989 ; Vol. 29, No. 5. pp. 147-157.

BibTeX

@article{31bfc573db8a483f91e7731d29de0485,
title = "Mean square approximation of a rectangular matrix by matrices of lower rank",
abstract = "The problem defined in the title of this paper is examined, on the basis of its connection with the problem of singular decomposition of the matrix in question. In particular, it is proved that the wellknown group relaxation method is convergent given any initial approximation, and its rate of convergence is shown to depend on the relation between the corresponding singular numbers of the matrix.",
author = "V.A. Daugavet and P.V. Yakovlev",
year = "1989",
doi = "10.1016/0041-5553",
language = "русский",
volume = "29",
pages = "147--157",
journal = "Computational Mathematics and Mathematical Physics",
issn = "0965-5425",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "5",

}

RIS

TY - JOUR

T1 - Mean square approximation of a rectangular matrix by matrices of lower rank

AU - Daugavet, V.A.

AU - Yakovlev, P.V.

PY - 1989

Y1 - 1989

N2 - The problem defined in the title of this paper is examined, on the basis of its connection with the problem of singular decomposition of the matrix in question. In particular, it is proved that the wellknown group relaxation method is convergent given any initial approximation, and its rate of convergence is shown to depend on the relation between the corresponding singular numbers of the matrix.

AB - The problem defined in the title of this paper is examined, on the basis of its connection with the problem of singular decomposition of the matrix in question. In particular, it is proved that the wellknown group relaxation method is convergent given any initial approximation, and its rate of convergence is shown to depend on the relation between the corresponding singular numbers of the matrix.

U2 - 10.1016/0041-5553

DO - 10.1016/0041-5553

M3 - статья

VL - 29

SP - 147

EP - 157

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 5

ER -

ID: 115565896