Perturbation theory for the generalized Bott-Duffin inverse and its applications
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Publication:1855691
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
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Numerical computation of matrix norms, conditioning, scaling (65F35)
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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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