Perturbation theory for the generalized Bott-Duffin inverse and its applications

DOI10.1016/S0096-3003(01)00041-8zbMath1030.65028OpenAlexW1993853488MaRDI QIDQ1855691

Guo-Ming Liu, 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)00041-8

zbMATH Keywords

perturbation theorycondition numbererror boundBott-Duffin inverselinear constrained system

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (9)

The -positive semidefinite matrices A such that are nonsingular ⋮ New characterizations and representations of the generalized Bott–Duffin inverse and its applications ⋮ Condition number related with generalized inverse \(A_{T,S}^{(2)}\) and constrained linear systems ⋮ 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 ⋮ The Moore–Penrose inverses of lower triangular operators ⋮ The expression of the generalized Bott-Duffin inverse and its perturbation theory

Cites Work

• The generalized Bott-Duffin inverse and its applications
• A Cramer rule for finding the solution of a class of singular equations
• 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 analysis of the least squares solution in Hilbert spaces
• On the Algebra of Networks
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