A semi-iterative method for real spectrum singular linear systems with an arbitrary index
type: Item
instance of: scholarly article
title: A semi-iterative method for real spectrum singular linear systems with an arbitrary index
zbMATH Open document ID: 0899.65020
DOI: 10.1016/S0377-0427(97)00169-6
author: Joan-Josep Climent
author: M. Neumann
author: Avram Sidi
published in: Journal of Computational and Applied Mathematics
publication date: 1998-02-09T00:00:00Z
review text: The authors develop a semi-iterative method for computing the action of the Drazin inverse of a singular linear system. A convergence theory including the estimates of the rate of convergence is presented. The paper extends earlier work by \textit{M. Hanke} and \textit{M. Hochbruck} [ETNA, Electron. Trans. Numer. Anal. 1, 89-103 (1993; Zbl 0809.65039)] who considered matrices with one-dimensional Jordan blocks corresponding to the zero eigenvalue. The performance of the algorithm is illustrated on numerical examples.
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 1115949
zbMATH Keywords: semi-iterative method
zbMATH Keywords: Drazin inverse
zbMATH Keywords: singular linear system
zbMATH Keywords: convergence
zbMATH Keywords: performance
zbMATH Keywords: algorithm
zbMATH Keywords: numerical examples
reviewed by: Z. Dostál
MaRDI profile type: Publication
cites work: Q4061081
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cites work: On the solution of singular linear systems of algebraic equations by semiiterative methods
cites work: The near-best solution of a polynomial minimization problem by the Carathéodory-Fejér method
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cites work: A Chebyshev-like semiiteration for inconsistent linear systems
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cites work: Development of iterative techniques and extrapolation methods for Drazin inverse solution of consistent or inconsistent singular linear systems
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description: scientific article; zbMATH DE number 1115949