A Rapid Convergence Iterative Matrix solver for 2-D Composite Device Simulator

Solver Device for Powdery Drugs

Pharmacotherapy is a major treatment method in healthcare centers, and the injection of powdered drugs is among common pharmacotherapy techniques. Medication errors and nosocomial infections are among major health issues in the world. On the other hand, powdered drugs are widely used in hospitals; however, drug mixture is a very time-consuming process. The objective of this invention was to acc...

A Matrix-free Implicit Iterative Solver for Compressible Flow Problems

A b s t r a c t . A procedure for soìving nonìinear time-marching problems is presented. The nonsymmetric systems of equations arising from Newton-type linearizations are solved using an iterativestrategy based on the Generalized Minimal RESidual (GMRES) algorithm. Matrix-free techniques ìeading to reduction in Storage are presented. Incorporation of a linesearch algorithm in the Newton-GMRES s...

Strong Convergence of Composite Iterative Methods for Nonexpansive Mappings

Let E be a reflexive Banach space with a weakly sequentially continuous duality mapping, C be a nonempty closed convex subset of E, f : C → C a contractive mapping (or a weakly contractive mapping), and T : C → C a nonexpansive mapping with the fixed point set F (T ) 6= ∅. Let {xn} be generated by a new composite iterative scheme: yn = λnf(xn)+(1−λn)Txn, xn+1 = (1−βn)yn+βnTyn, (n ≥ 0). It is pr...

Iterative Method for Mirror-Symmetric Solution of Matrix Equation AXB + CY D = E

Weak Convergence of Mann Iterative Algorithm for two Nonexpansive mappings

The mann fixed point algorithm play an importmant role in the approximation of fixed points of nonexpansive operators. In this paper, by considering new conditions, we prove the weak convergence of mann fixed point algorithm, for finding a common fixed point of two nonexpansive mappings in real Hilbert spaces. This results extend the privious results given by Kanzow and Shehu. Finally, we give ...