MODIFIED FRAME-BASED RICHARDSON ITERATIVE METHOD AND ITS CONVERGENCE ACCELERATION BY CHEBYSHEV POLYNOMIALS

Recently, there have been some developments regarding frame-based Richardson iteration and corresponding convergence acceleration by using Chebyshev polynomials and their respective algorithms. To obtain better rate of convergence, we deal with Richardson iteration with another preconditioner yielding the second power of earlier convergence rate formed by the bounds of the given frame. Afterward, we conduct Chebyshev acceleration on modified Richardson iteration to obtain a convergence rate which is much smaller than both earlier Chebyshev iteration and the new version of Richardson iteration.