Analysis of aggregation-based multigrid
AbstractAggregation-based multigrid with standard piecewise constant like prolongation is investigated. Unknowns are aggregated either by pairs or by quadruplets; in…
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Mixed convection flow near an axisymmetric stagnation point on a vertical cylinder
AbstractThe mixed convection flow near an axisymmetric stagnation point on a vertical cylinder is considered. The equations for the fluid…
An implicit numerical spline method for systems for ODEs
Abstract An implicit numerical method is introduced that gives piecewise polynomial spline approximations for the solution of an initial value…
On the nonmonotone behavior of the Newton‐GMBACK method
AbstractGMBACK is a Krylov solver for large linear systems, which is based on backward error minimization properties. The minimum backward…
A mixed iteration for nonnegative matrix factorizations
Abstract We show that, under appropriate conditions, one can create a hybrid between two given iterations which can perform better…
Solving inverse problems via hemicontractive maps
AbstractWe prove a “collage” theorem for hemicontractive maps and we use it for inverse problems. A numerical example is given.…
The equivalence between Mann–Ishikawa iterations and multistep iteration
AbstractWe show that the convergence of Mann, Ishikawa iterations are equivalent to the convergence of a multistep iteration, for various…
The Equivalence between T-Stabilities of The Krasnoselskij and The Mann Iterations
Abstract We prove the equivalence between the -stabilities of the Krasnoselskij and the Mann iterations; a consequence is the equivalence…
Data Dependence for Ishikawa Iteration When Dealing with Contractive-Like Operators
Abstract We prove a convergence result and a data dependence for Ishikawa iteration when applied to contraction-like operators. An example…
The equivalence between the T-stabilities of Mann and Ishikawa iterations
Abstract We show that T-stability of Mann and Ishikawa iterations are equivalent. AuthorsB.E. Rhoades S.M. Soltuz (Tiberiu Popoviciu Institute of…