TY - JOUR
T1 - New perturbation bounds for the W-weighted Drazin inverse
AU - Lin, L.
AU - Cui , Xiaoke
PY - 2006
Y1 - 2006
N2 - The constructive perturbation bounds for the W-weighted Drazin inverse are derived by two approaches in this paper. One uses the matrixG = [(A+E)W]l−(AW)l, whereA, E ∈ C mxn,W ∈ C nxm,l = max Ind(AW), Ind[(A + E)W]. The other uses a technique proposed by G. Stewart and based on perturbation theory for invariant subspaces of a matrix. The new approaches to develop perturbation bounds for W-weighted Drazin inverse of a matrix extend the previous results in [19, 29, 31, 36, 42, 44]. Several examples which indicate the sharpness of the new perturbation bounds are presented.
AB - The constructive perturbation bounds for the W-weighted Drazin inverse are derived by two approaches in this paper. One uses the matrixG = [(A+E)W]l−(AW)l, whereA, E ∈ C mxn,W ∈ C nxm,l = max Ind(AW), Ind[(A + E)W]. The other uses a technique proposed by G. Stewart and based on perturbation theory for invariant subspaces of a matrix. The new approaches to develop perturbation bounds for W-weighted Drazin inverse of a matrix extend the previous results in [19, 29, 31, 36, 42, 44]. Several examples which indicate the sharpness of the new perturbation bounds are presented.
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-33646734044&partnerID=MN8TOARS
U2 - 10.1007/BF02896395
DO - 10.1007/BF02896395
M3 - Article
SN - 1598-5865
JO - Journal of Applied Mathematics and Computing
JF - Journal of Applied Mathematics and Computing
ER -