Convergence acceleration by the $E_{+p}$-algorithm

Modified frame algorithm and its convergence acceleration by Chebyshev method

The aim of this paper is to improve the convergence rate of frame algorithm based on Richardson iteration and Chebyshev methods. Based on Richardson iteration method, we first square the existing convergence rate of frame algorithm which in turn the number of iterations would be bisected and increased speed of convergence is achieved. Afterward, by using Chebyshev polynomials, we improve this s...

Convergence acceleration of the LMS algorithm using successive data orthogonalization

We propose a new adaptive filtering algorithm whose convergence rate is very fast even for a highly correlated input signal. It is well-known that convergence rate gets worse when the input signal to an adaptive filter is correlated. Introducing an orthogonal constraint between successive input signal vectors makes us overcome the slow convergence caused by the correlated input signal. It is sh...

Convergence acceleration of Taylor sections by convolution

Abstract. Taylor sections Sn(f) of an entire function f often provide easy computable polynomial approximants of f . However, while the rate of convergence of (Sn(f))n is nearly optimal on circles around the origin, this is no longer true for other plane sets as for example real compact intervals. The aim of this paper is to construct for certain families of (entire) functions sequences of poly...

An Extended Multistep Shanks Transformation and Convergence Acceleration Algorithm with Their Convergence and Stability Analysis

The molecule solution of an extended discrete Lotka-Volterra equation is constructed, from which a new sequence transformation is proposed. A convergence acceleration algorithm for implementing this sequence transformation is found. It is proved that our new sequence transformation accelerates some kinds of linear sequences and factorial sequences with good numerical stability. Some numerical e...

Convergence Acceleration During the 20th Century