Minimum property of condition numbers for the Drazin inverse and singular linear equations

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

Cites Work

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Condition number for the Drazin inverse and the Drazin-inverse solution of singular linear system with their condition numbers
Representation for the \(W\)-weighted Drazin inverse of linear operators
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The representation and perturbation of the \(W\)-weighted Drazin inverse
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
On optimal condition numbers for Markov chains
On condition numbers and the distance to the nearest ill-posed problem
A Cramer rule for finding the solution of a class of singular equations
Condition numbers and their condition numbers
The perturbation theory for the Drazin inverse and its applications
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Condition number of Drazin inverse and their condition numbers of singular linear systems.
A weighted Drazin inverse and applications
Generalized inverses: theory and computations
Condition number related with \(W\)-weighted Drazin inverse and singular linear systems
Perturbation bound of the Drazin inverse
Orthogonal polynomials and semi-iterative methods for the Drazin-inverse solution of singular linear systems
Generalized inverses. Theory and applications.
An algorithm to check the nonnegativity of singular systems
Algebraic properties of generalized inverses
Acute perturbation of the group inverse
Condition number of the \(W\)-weighted Drazin inverse
Representations and properties of theW-Weighted Drazin inverse
Uniform Stability of Markov Chains
A note on the perturbation bounds of W-weighted Drazin inverse of linear operator in Banach space

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