The expression of the generalized Bott-Duffin inverse and its perturbation theory

DOI10.1016/S0096-3003(01)00204-1zbMath1030.15006OpenAlexW2003502899MaRDI QIDQ1855849

Yifeng Xue, Guo-Liang Chen

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00204-1

zbMATH Keywords

least squaresperturbation analysisMoore-Penrose inverseBoot-Duffin inverseL-zero matrix

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Linear equations (linear algebraic aspects) (15A06)

Related Items (6)

The -positive semidefinite matrices A such that are nonsingular ⋮ New characterizations and representations of the generalized Bott–Duffin inverse and its applications ⋮ A generalization of the Bott-Duffin inverse and its applications ⋮ A note on the generalized Bott-Duffin inverse ⋮ The representations of generalized inverses of lower triangular operators ⋮ Bott-Duffin inverse over the quaternion skew field with applications

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• The expression of the generalized inverse of the perturbed operator under Type I perturbation in Hilbert spaces
• Perturbation analysis for the operator equation \(Tx=b\) in Banach spaces
• Perturbation theory for the generalized Bott-Duffin inverse and its applications
• Perturbation analysis of the least squares solution in Hilbert spaces
• On the Algebra of Networks

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