Quotient convergence and multi-splitting methods for solving singular linear equations

DOI10.1007/s10092-007-0127-yzbMath1150.65006OpenAlexW1977163558MaRDI QIDQ997572

Yi-Min Wei, Xiaoke Cui, Naimin Zhang

Publication date: 7 August 2007

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-007-0127-y

zbMATH Keywords

Hermitian positive definite matrixIterative methodQuotient convergence\(P\)-regular splittingGroup inverseMulti-splittingSingular linear equations

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (9)

An iterative method for solving singular linear systems with index one ⋮ Three-step alternating iterations for index 1 and non-singular matrices ⋮ Comment on ``condition number of Drazin inverse and their condition numbers of singular linear systems ⋮ On the convergence of subproper (multi)-splitting methods for solving rectangular linear systems ⋮ Representations for the Drazin inverse of the sum \(P+Q+R+S\) and its applications ⋮ A simpler DGMRES ⋮ A note on computational formulas for the Drazin inverse of certain block matrices ⋮ Convergence and quotient convergence of iterative methods for solving singular linear equations with index one ⋮ A note on index-proper multisplittings of matrices

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