The error bound of the perturbation of the Drazin inverse

DOI10.1016/0024-3795(82)90233-6zbMath0487.15003OpenAlexW2062264373WikidataQ127203768 ScholiaQ127203768MaRDI QIDQ1165290

Guang-Hao Rong

Publication date: 1982

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(82)90233-6

zbMATH Keywords

error boundsDrazin inversegeneralized inverseMoore-Penrose inverseperturbation bound

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (20)

The perturbation theory for the Drazin inverse and its applications ⋮ Acute perturbation of the group inverse ⋮ Perturbation bounds for the generalized inverses \(A_{T,S}^{(2)}\) with application to constrained linear system. ⋮ A note on the perturbation bound of the Drazin inverse ⋮ Perturbation bounds for the W-weighted core-EP inverse ⋮ Perturbation of the Drazin inverse for closed linear operators ⋮ Acute perturbation of Drazin inverse and oblique projectors ⋮ Continuity properties of the \(\{1\}\)-inverse and perturbation bounds for the Drazin inverse ⋮ Further results on the perturbation estimations for the Drazin inverse ⋮ Sign pattern, usability, representations and perturbation for the core-EP and weighted core-EP inverse ⋮ Additive perturbation results for the Drazin inverse ⋮ Characterizations and perturbation analysis of a class of matrices related to core-EP inverses ⋮ Continuity of the core-EP inverse and its applications ⋮ An expression of the Drazin inverse of a perturbed matrix ⋮ Perturbation of the Drazin inverse for matrices with equal eigenprojections at zero ⋮ Error bounds for the perturbation of the Drazin inverse under some geometrical conditions ⋮ The perturbation of the Drazin inverse and oblique projection ⋮ Perturbation bound of the Drazin inverse ⋮ The Drazin inverse of a modified matrix ⋮ Error bounds for a general perturbation of the Drazin inverse

Cites Work

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• Continuity properties of the Drazin pseudoinverse
• SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
• On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems

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