1142 results about "Iterative refinement" patented technology

Iterative refinement is an iterative method proposed by James H. Wilkinson to improve the accuracy of numerical solutions to systems of linear equations. When solving a linear system Ax = b, due to the presence of rounding errors, the computed solution x̂ may sometimes deviate from the exact solution x*. Starting with x₁ = x̂, iterative refinement computes a sequence {x₁,x₂,x₃,...} which converges to x* when certain assumptions are met.