TY - JOUR
T1 - Condition numbers and structured perturbation of the W-weighted Drazin inverse
AU - Lei, Tiangang
AU - Wei, Yimin
AU - Woo, Ching-Wah
PY - 2005/6/6
Y1 - 2005/6/6
N2 - We give the explicit condition number formulas for the W-weighted Drazin inverse of a rectangular matrix. We also present the structured perturbation of the W-weighted Drazin inverse, and consider the perturbation for the W-weighted Drazin inverse of a rectangular matrix and give an explicit expression for the W-weighted Drazin inverse of a perturbed matrix under some certain conditions. Finally, we discuss the minimum quality of the condition number. © 2004 Elsevier Inc. All rights reserved.
AB - We give the explicit condition number formulas for the W-weighted Drazin inverse of a rectangular matrix. We also present the structured perturbation of the W-weighted Drazin inverse, and consider the perturbation for the W-weighted Drazin inverse of a rectangular matrix and give an explicit expression for the W-weighted Drazin inverse of a perturbed matrix under some certain conditions. Finally, we discuss the minimum quality of the condition number. © 2004 Elsevier Inc. All rights reserved.
KW - Condition number
KW - Perturbation
KW - W-Weighted Drazin inverse
UR - http://www.scopus.com/inward/record.url?scp=17444395214&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-17444395214&origin=recordpage
U2 - 10.1016/j.amc.2004.04.044
DO - 10.1016/j.amc.2004.04.044
M3 - RGC 21 - Publication in refereed journal
VL - 165
SP - 185
EP - 194
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
SN - 0096-3003
IS - 1
ER -