Convergence of Rump’s method for computing the Moore-Penrose inverse

Title:

Convergence of Rump’s method for computing the Moore-Penrose inverse

Creator:

Chen, Yunkun, Shi, Xinghua, and Wei, Yimin

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:88eef506-bf0c-452f-b0cc-3557007e3568
uuid:88eef506-bf0c-452f-b0cc-3557007e3568
issn:0011-4642

Subject:

matematika, mathematics, Moore-Penrose inverse, condition number, ill-conditioned matrix, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

We extend Rump’s verified method (S.Oishi, K.Tanabe, T.Ogita, S.M.Rump (2007)) for computing the inverse of extremely ill-conditioned square matrices to computing the Moore-Penrose inverse of extremely ill-conditioned rectangular matrices with full column (row) rank. We establish the convergence of our numerical verified method for computing the Moore-Penrose inverse. We also discuss the rank-deficient case and test some ill-conditioned examples. We provide our Matlab codes for computing the Moore-Penrose inverse., Yunkun Chen, Xinghua Shi, Yimin Wei., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

859-879

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:3

Harvested from:

CDK

Metadata only:

false