On the Extensions Preserving the Shape of a Semi-Hölder Function4 years agoAbstractWe present some results concerning the extension of a semi-Hölder real-valued function defined on a subset of a quasi-metric space,…
Block incremental unknowns for anisotropic elliptic equations4 years agoAbstractIn this article, we define the notion of block incremental unknowns for anisotropic elliptic equations. Written in a block structure,…
Analysis of aggregation-based multigrid4 years agoAbstractAggregation-based multigrid with standard piecewise constant like prolongation is investigated. Unknowns are aggregated either by pairs or by quadruplets; in…
Mixed convection flow near an axisymmetric stagnation point on a vertical cylinder4 years agoAbstractThe 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 ODEs4 years agoAbstract 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 method4 years agoAbstractGMBACK 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 factorizations4 years agoAbstract We show that, under appropriate conditions, one can create a hybrid between two given iterations which can perform better…
Solving inverse problems via hemicontractive maps4 years agoAbstractWe 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 iteration4 years agoAbstractWe 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 Iterations4 years agoAbstract We prove the equivalence between the -stabilities of the Krasnoselskij and the Mann iterations; a consequence is the equivalence…