Condition number for the Drazin inverse and the Drazin-inverse solution of singular linear system with their condition numbers

DOI10.1016/j.cam.2004.11.040zbMath1077.15007OpenAlexW2035974022MaRDI QIDQ557762

Yi-Min Wei, Huai-An Diao

Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.cam.2004.11.040

zbMATH Keywords

singular systemcondition numberDrazin inverseDrazin-inverse solutioncomponentwise perturbation

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Conditioning of matrices (15A12)

Related Items (14)

Displacement structure of the generalized inverse \(A_{T,S}^{(2)}\) ⋮ Generalized inverses of a normal matrix ⋮ Group inverse for a class \(2\times 2\) block matrices over skew fields ⋮ Some block matrices with signed Drazin inverses ⋮ Comment on ``condition number of Drazin inverse and their condition numbers of singular linear systems ⋮ Comment on ``Condition number of \(W\)-weighted Drazin inverse and their condition numbers of singular linear systems ⋮ Condition numbers for the outer inverse and constrained singular linear system ⋮ A simpler DGMRES ⋮ New perturbation bounds for the \(W\)-weighted Drazin inverse ⋮ Condition number of the \(W\)-weighted Drazin inverse ⋮ Condition number related to the outer inverse of a complex matrix ⋮ Minimum property of condition numbers for the Drazin inverse and singular linear equations ⋮ The perturbation bounds for the solution of weighted Kronecker product linear systems using the \(W\)-weighted Drazin inverse ⋮ Condition number for the \(W\)-weighted Drazin inverse and its applications in the solution of rectangular linear system

Uses Software

• DGMRES
• mctoolbox

Cites Work

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