Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a parallel algorithm for the QIF (Quadrant Interlocking Factorization) method, which solves linear equation systems using WZ factorization. The parallel algorithm  developed is general in the sense that it does not impose any restrictions on the size of the problem and that it is independent from the dimensions oJ the mesh. The result is an efficient algorithm using half the messages of the equivalent parallel LU algorithm. Finally,  have compared the QIF algorithm in multiprocessor architectures with mesh topology and hypercube topology, obtaining similar calculation times for both architectures. This last aspect confirms the communication redundancy of the hypercube topology, which raises hardware costs without any significant improvement in the efficiency of the algorithms. 1. Sequential QIF algorithm The solution of a linear equation system is a problem which arises in many situations, whether scientific (simulations, solution of differential equation systems), economic (resource assignment, econometric models in general) and engineering (passive electronic circuits), etc.
['Rafael Asenjo', 'Manuel Ujaldon', 'Emilio L. Zapata']
I am writing a research paper on a idea Parallel WZ factorization on mesh multiprocessors
[{"from": "human", "value": "I am writing a research paper on a idea Parallel WZ factorization on mesh multiprocessors"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a parallel algorithm for the QIF (Quadrant Interlocking Factorization) method, which solves linear equation systems using WZ factorization. The parallel algorithm  developed is general in the sense that it does not impose any restrictions on the size of the problem and that it is independent from the dimensions oJ the mesh. The result is an efficient algorithm using half the messages of the equivalent parallel LU algorithm. Finally,  have compared the QIF algorithm in multiprocessor architectures with mesh topology and hypercube topology, obtaining similar calculation times for both architectures. This last aspect confirms the communication redundancy of the hypercube topology, which raises hardware costs without any significant improvement in the efficiency of the algorithms. 1. Sequential QIF algorithm The solution of a linear equation system is a problem which arises in many situations, whether scientific (simulations, solution of differential equation systems), economic (resource assignment, econometric models in general) and engineering (passive electronic circuits), etc."}]