A family of iterative methods with accelerated convergence for restricted linear system of equations
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Publication:1693361
DOI10.1007/s00009-017-1020-9zbMath1384.65026OpenAlexW2760526428MaRDI QIDQ1693361
Shwetabh Srivastava, Vasilios N. Katsikis, Predrag S. Stanimirović, Dharmendra Kumar Gupta
Publication date: 31 January 2018
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-017-1020-9
convergence analysiserror estimationiterative methodDrazin inversegeneralized inversenumerical experimentrestricted linear system
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10)
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Cites Work
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- A new representation for \(A_{T, S}^{(2, 3)}\)
- Full-rank representations of outer inverses based on the QR decomposition
- A new scheme of computing the approximate inverse preconditioner for the reduced linear systems
- Iterative methods for solving restricted linear equations
- A Cramer rule for least-norm solutions of consistent linear equations
- A Chebyshev-like semiiteration for inconsistent linear systems
- Necessary and sufficient conditions for the convergence of \(\text{Orthomin}(k)\) on singular and inconsistent linear systems
- An iterative method for solving general restricted linear equations
- Orthogonal polynomials and semi-iterative methods for the Drazin-inverse solution of singular linear systems
- Generalized inverses. Theory and applications.
- Representation and approximation of the outer inverse \(A_{T,S}^{(2)}\) of a matrix \(A\)
- Generalized Schultz iterative methods for the computation of outer inverses
- Componentwise enclosure for solutions of least squares problems and underdetermined systems
- Gradient methods for computing the Drazin-inverse solution
- Semiconvergence criteria of iterations and extrapolated iterations and constructive methods of semiconvergent iteration matrices
- The Idea behind Krylov Methods
- An Improved Newton Iteration for the Generalized Inverse of a Matrix, with Applications
- On determinantal representation for the generalized inverseA(2)T,S and its applications
- Several representations of generalized inverse and their application
- On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
- A cramer rule for solution of the general restricted linear equation∗
- An efficient quadratically convergent iterative method to find the Moore–Penrose inverse
- On the perturbation and subproper splittings for the generalized inverse \(A_{T,S}^{(2)}\) of rectangular matrix \(A\)
