Preconditionings and splittings for rectangular systems

DOI10.1007/BF01386399zbMath0704.65018OpenAlexW1986891596MaRDI QIDQ917216

Michael Neumann, Martin Hanke

Publication date: 1990

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133437

zbMATH Keywords

preconditioningsplittingsemiiterative methodsPicard iterative methodinconsistentweighted Moore-Penrose solution

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (17)

On the convergence of subproper (multi)-splitting methods for solving rectangular linear systems ⋮ On the convergence of splittings for semidefinite linear systems ⋮ (T,S) splitting methods for computing the generalized inverse and rectangular systems^∗ ⋮ Computing generalized inverses of matrices by iterative methods based on splittings of matrices ⋮ On the perturbation and subproper splittings for the generalized inverse \(A_{T,S}^{(2)}\) of rectangular matrix \(A\) ⋮ An improvement on the perturbation of the group inverse and oblique projection ⋮ A dominance notion for singular matrices with applications to nonnegative generalized inverses ⋮ Convergence and quotient convergence of iterative methods for solving singular linear equations with index one ⋮ A note on the perturbation of an outer inverse ⋮ A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications ⋮ Three-step alternating and preconditioned scheme for rectangular matrices ⋮ Successive matrix squaring algorithm for computing the Drazin inverse ⋮ On the perturbation of the group inverse and oblique projection ⋮ Semiconvergence criteria of iterations and extrapolated iterations and constructive methods of semiconvergent iteration matrices ⋮ Splitting based on the outer inverse of matrices. ⋮ Index splitting for the Drazin inverse of linear operator in Banach space. ⋮ Subproper and regular splittings for restricted rectangular linear system

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• Numerical Methods for Large Sparse Linear Least Squares Problems
• Consistency and Splittings
• A Note on the Solution of Rectangular Linear Systems by Iteration
• Monotonicity and Iterative Approximations Involving Rectangular Matrices

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