Proper Splittings of Rectangular Matrices

DOI10.1137/0131025zbMath0352.65017OpenAlexW2090321160MaRDI QIDQ4122696

Publication date: 1976

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0131025

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10)

Related Items (32)

Representations and properties for the MPCEP inverse ⋮ A note on preconditioned GMRES for solving singular linear systems ⋮ A necessary and sufficient condition for semiconvergence and optimal parameter of the SSOR method for solving the rank deficient linear least squares problem ⋮ Comments on ``Symmetric successive overrelaxation methods for rank deficient linear systems ⋮ Polynomial acceleration of iterative schemes associated with subproper splittings ⋮ \(P\)-proper splittings ⋮ Cones and error bounds for linear iterations ⋮ Generalizations of matrix monotonicity and their relationships with certain subclasses of proper splittings ⋮ A combined direct-iterative approach for solving large scale singular and rectangular consistent systems of linear equations ⋮ Proper splitting for the generalized inverse \(A^{(2)}_{T, S}\) and its application on Banach spaces ⋮ On the convergence of subproper (multi)-splitting methods for solving rectangular linear systems ⋮ A characterization of weak-monotone matrices ⋮ Representations for the weak group inverse ⋮ Comparisons ofB_row-splittings andB_ran-splittings of matrices ⋮ Expressions and properties of weak core inverse ⋮ Computing generalized inverses of matrices by iterative methods based on splittings of matrices ⋮ Alternating stationary iterative methods based on double splittings ⋮ Subproper splitting for rectangular matrices ⋮ Successive overrelaxation methods for solving the rank deficient linear least squares problem ⋮ On the perturbation and subproper splittings for the generalized inverse \(A_{T,S}^{(2)}\) of rectangular matrix \(A\) ⋮ Characterizations, approximation and perturbations of the core-EP inverse ⋮ A dominance notion for singular matrices with applications to nonnegative generalized inverses ⋮ Some applications of partial orderings to iterative methods for rectangular linear systems ⋮ Splittings and iterative methods for approximate solutions to singular operator equations in Hilbert spaces ⋮ Iterative methods for computing generalized inverses and splittings of operators ⋮ On convergence of two-stage iterative scheme ⋮ Three-step alternating and preconditioned scheme for rectangular matrices ⋮ Semiconvergence criteria of iterations and extrapolated iterations and constructive methods of semiconvergent iteration matrices ⋮ Symmetric successive overrelaxation methods for solving the rank deficient linear least squares problem ⋮ Splitting based on the outer inverse of matrices. ⋮ Subproper and regular splittings for restricted rectangular linear system ⋮ Convergence theory of iterative methods based on proper splittings and proper multisplittings for rectangular linear systems

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