A fast convergent iterative solver for approximate inverse of matrices

DOI10.1002/nla.1890zbMath1340.65051OpenAlexW1693006369MaRDI QIDQ5502422

Fazlollah Soleymani

Publication date: 26 August 2015

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.1890

zbMATH Keywords

algorithmstabilityconvergenceconsistencysparse matrixpreconditionersMoore-Penrose inversenumerical comparisonsapproximate inverseiterative matrix inversion

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Iterative numerical methods for linear systems (65F10) Direct numerical methods for linear systems and matrix inversion (65F05) Preconditioners for iterative methods (65F08)

Related Items

Computing outer inverses by scaled matrix iterations, A matrix iteration for finding Drazin inverse with ninth-order convergence, A new iterative method for finding approximate inverses of complex matrices, On hyperpower family of iterations for computing outer inverses possessing high efficiencies, A general class of arbitrary order iterative methods for computing generalized inverses, A higher order iterative method for \(A^{(2)}_{T,S}\), Tensorized multi-view subspace representation learning, A class of Kung-Traub-type iterative algorithms for matrix inversion, A high-order iterate method for computing \(A_{T, S}^{(2)}\), Constructing two-step iterative methods with and without memory

Uses Software

• Mathematica
• SparseMatrix

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