Iterative Methods for Solving Linear Systems of Equations on FPGA-Based Machines.

This paper focuses on the solution to a system of linear equations by iterative methods. A short survey is presented on direct and iterative methods. Three practical iterative methods are discussed. Two preconditioning techniques are employed to speed up the iterations. Two testbeds are used to carry out a comparison of these iterative methods. For the Dell8200 PC testbed, we show the pros and cons of the iterative methods; for an Altera NIOS-based reconfigurable computing system with FPU extensions, we prove the efficiency of our FPU extensions, which can significantly speedup the iterative calculations.