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- W2384158692 abstract "In this paper, a perturbation theory for the α β generalized inverse A (-1) αβ is developed. Let B=A+E∈C m×n , R(E)R(A), R(E *)R(A *) and Δ=‖A (-1) αβ E‖ ββ 1 , where α,β are e.s.c norms on C m, C n , respectively. Then we put forward a useful decomposition of B (-1) αβ -A (-1) αβ . As a result, norm estimate of ‖B (-1) αβ -A (-1) αβ ‖ βα is presented. We also get a perturbation bound of the unique minimal β norm α approximate solution of the system Ax=b ." @default.
- W2384158692 created "2016-06-24" @default.
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- W2384158692 date "2001-01-01" @default.
- W2384158692 modified "2023-09-25" @default.
- W2384158692 title "Perturbation Theory for the α-β Generalized Inverse with Application" @default.
- W2384158692 hasPublicationYear "2001" @default.
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