Error analysis of the generalized low-rank matrix approximation

Pablo Soto-Quiros

doi:10.13001/ela.2021.5961

Error analysis of the generalized low-rank matrix approximation

Pablo Soto-Quiros

Escuela de Matemática

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

1 Cita (Scopus)

Resumen

In this paper, we propose an error analysis of the generalized low-rank approximation, which is a generalization of the classical approximation of a matrix A ∈ R^m×n by a matrix of a rank at most r, where r ≤ min{m, n}.

Idioma original	Inglés
Páginas (desde-hasta)	544-548
Número de páginas	5
Publicación	Electronic Journal of Linear Algebra
Volumen	37
DOI	https://doi.org/10.13001/ela.2021.5961
Estado	Publicada - 2021

Acceder al documento

10.13001/ela.2021.5961

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{9ac255d744ce4dc68db86ba848ac663b,

title = "Error analysis of the generalized low-rank matrix approximation",

abstract = "In this paper, we propose an error analysis of the generalized low-rank approximation, which is a generalization of the classical approximation of a matrix A ∈ Rm×n by a matrix of a rank at most r, where r ≤ min{m, n}.",

keywords = "Error analysis, Frobenius norm, Generalized low-rank approximation, Pseudoinverse, SVD",

author = "Pablo Soto-Quiros",

year = "2021",

doi = "10.13001/ela.2021.5961",

language = "Ingl{\'e}s",

volume = "37",

pages = "544--548",

journal = "Electronic Journal of Linear Algebra",

issn = "1537-9582",

}

TY - JOUR

T1 - Error analysis of the generalized low-rank matrix approximation

AU - Soto-Quiros, Pablo

PY - 2021

Y1 - 2021

N2 - In this paper, we propose an error analysis of the generalized low-rank approximation, which is a generalization of the classical approximation of a matrix A ∈ Rm×n by a matrix of a rank at most r, where r ≤ min{m, n}.

AB - In this paper, we propose an error analysis of the generalized low-rank approximation, which is a generalization of the classical approximation of a matrix A ∈ Rm×n by a matrix of a rank at most r, where r ≤ min{m, n}.

KW - Error analysis

KW - Frobenius norm

KW - Generalized low-rank approximation

KW - Pseudoinverse

KW - SVD

UR - http://www.scopus.com/inward/record.url?scp=85111651787&partnerID=8YFLogxK

U2 - 10.13001/ela.2021.5961

DO - 10.13001/ela.2021.5961

M3 - Artículo

AN - SCOPUS:85111651787

SN - 1537-9582

VL - 37

SP - 544

EP - 548

JO - Electronic Journal of Linear Algebra

JF - Electronic Journal of Linear Algebra

ER -

Error analysis of the generalized low-rank matrix approximation

Resumen

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto