Modified method of parallel matrix sweep

Modified J-matrix method for scattering.

We modify the J-matrix technique for scattering so that problems with long-range interactions are easily solved. This is done by introducing additional terms in the asymptotic three-term recurrence relation that take into account asymptotic effects of the potential. The solutions of this modified recurrence relation are a very good approximation of the exact scattering solution. Only a small nu...

A New Parallel Matrix Multiplication Method Adapted on Fibonacci Hypercube Structure

The objective of this study was to develop a new optimal parallel algorithm for matrix multiplication which could run on a Fibonacci Hypercube structure. Most of the popular algorithms for parallel matrix multiplication can not run on Fibonacci Hypercube structure, therefore giving a method that can be run on all structures especially Fibonacci Hypercube structure is necessary for parallel matr...

Provable algorithms for parallel generalized sweep scheduling

We present provably efficient parallel algorithms for sweep scheduling, which is a commonly used technique in Radiation Transport problems, and involves inverting an operator by iteratively sweeping across a mesh from multiple directions. Each sweep involves solving the operator locally at each cell. However, each direction induces a partial order in which this computation can proceed. On a dis...

Modified PSO Method for Robust Control of 3RPS Parallel Manipulators

We propose an effective method to design a modified particle swarm optimization MPSO singularity control method for a fully parallel robot manipulator. By adopting MPSO to obtain simple and effective estimated damping values, the result automatically adjusts the damping value around a singular point and greatly improves the accuracy of system responses. This method works by damping acceleration...

A Generalised Sweep - Line Method forSafety