Condition number for the \(W\)-weighted Drazin inverse and its applications in the solution of rectangular linear system

DOI10.1007/BF02831923zbMath1089.15008MaRDI QIDQ815973

Xiaoke Cui, Huai-An Diao

Publication date: 20 February 2006

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

zbMATH Keywords

linear systemcondition numbercomponentwise perturbationW-weighted Drazin inverseW-weighted Drazin-inverse solution

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear equations (linear algebraic aspects) (15A06) Conditioning of matrices (15A12)

Related Items (5)

Computing generalized inverses of a rational matrix and applications ⋮ Condition numbers for the outer inverse and constrained singular linear system ⋮ 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

Uses Software

• DGMRES

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
• Structured perturbations of Drazin inverse
• Structured perturbations of group inverse and singular linear system with index one
• On condition numbers and the distance to the nearest ill-posed problem
• On the solution of singular linear systems of algebraic equations by semiiterative methods
• New condition numbers for matrices and linear systems
• A Drazin inverse for rectangular matrices
• Condition numbers and their condition numbers
• A semi-iterative method for real spectrum singular linear systems with an arbitrary index
• Integral representation of the \(W\)-weighted Drazin inverse
• The representation and approximation of the \(W\)-weighted Drazin inverse of linear operators in Hilbert space.
• A note on the perturbation of the \(W\)-weighted Drazin inverse.
• A weighted Drazin inverse and applications
• Generalized inverses: theory and computations
• Condition number related with \(W\)-weighted Drazin inverse and singular linear systems
• On group inverse of singular Toeplitz matrices
• A characterization for the \(W\)-weighted Drazin inverse and a Cramer rule for the \(W\)-weighted Drazin inverse solution
• Generalized inverses. Theory and applications.
• Displacement rank of the Drazin inverse
• On the condition number of linear least squares problems in a weighted Frobenius norm
• On Drazin inverse of singular Toeplitz matrix
• A Theory of Condition
• DGMRES: A GMRES-type algorithm for Drazin-inverse solution of singular nonsymmetric linear systems

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