Perturbation bounds for the generalized inverse AT,S((2)) with respect to the Frobenius norm

Xiaoji Liu; Yonghui Qin; Yaoming Yu

doi:10.1016/j.amc.2011.10.043

Perturbation bounds for the generalized inverse AT,S((2)) with respect to the Frobenius norm

Xiaoji Liu
, Yonghui Qin
, Yaoming Yu

School of Mathematics

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

2 Citations (Scopus)

Abstract

In this paper, we present the perturbation bounds and the relative error bound of the generalized inverse A(T,S)((2)) with respect to the Frobenius norm, and apply the results to the relative errors of the solution of the general restricted linear equation. (

Original language	English
Pages (from-to)	4595 - 4604
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	218
Issue number	8
DOIs	https://doi.org/10.1016/j.amc.2011.10.043
Publication status	Published - 2011

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10.1016/j.amc.2011.10.043

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title = "Perturbation bounds for the generalized inverse AT,S((2)) with respect to the Frobenius norm",

abstract = "In this paper, we present the perturbation bounds and the relative error bound of the generalized inverse A(T,S)((2)) with respect to the Frobenius norm, and apply the results to the relative errors of the solution of the general restricted linear equation. (",

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AU - Liu, Xiaoji

AU - Qin, Yonghui

AU - Yu, Yaoming

PY - 2011

Y1 - 2011

N2 - In this paper, we present the perturbation bounds and the relative error bound of the generalized inverse A(T,S)((2)) with respect to the Frobenius norm, and apply the results to the relative errors of the solution of the general restricted linear equation. (

AB - In this paper, we present the perturbation bounds and the relative error bound of the generalized inverse A(T,S)((2)) with respect to the Frobenius norm, and apply the results to the relative errors of the solution of the general restricted linear equation. (

UR - http://www.sciencedirect.com/science/article/pii/S0096300311012884

U2 - 10.1016/j.amc.2011.10.043

DO - 10.1016/j.amc.2011.10.043

M3 - Article

SN - 0096-3003

VL - 218

SP - 4595

EP - 4604

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 8

ER -

Perturbation bounds for the generalized inverse AT,S((2)) with respect to the Frobenius norm

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