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

Creator:
Chen, Yunkun, Shi, Xinghua, and Wei, Yimin
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
matematika, mathematics, Moore-Penrose inverse, condition number, ill-conditioned matrix, 13, and 51
Language:
English
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
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public