Multistep epsilon-algorithm, Shanks' transformation, and Lotka-Volterra system by Hirota's method

Details Multistep epsilon-algorithm, Shanks' transformation, and Lotka-Volterra system by Hirota's method Multistep epsilon-algorithm, Shanks' transformation, and Lotka-Volterra system by Hirota's method

2010-12-28

arxiv.org/abs/1012.5744v1

Mathematics

Numerical Analysis

Scientific paper

In this paper, we give a multistep extension of the epsilon-algorithm of Wynn, and we show that it implements a multistep extension of the Shanks' sequence transformation which is defined by ratios of determinants. Reciprocally, the quantities defined in this transformation can be recursively computed by the multistep epsilon-algorithm. The multistep epsilon-algorithm and the multistep Shanks' transformation are related to an extended discrete Lotka-Volterra system. These results are obtained by using the Hirota's bilinear method, a procedure quite useful in the solution of nonlinear partial differential and difference equations.

Affiliated with

Also associated with

No associations

Rating

Multistep epsilon-algorithm, Shanks' transformation, and Lotka-Volterra system by Hirota's method does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multistep epsilon-algorithm, Shanks' transformation, and Lotka-Volterra system by Hirota's method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multistep epsilon-algorithm, Shanks' transformation, and Lotka-Volterra system by Hirota's method will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-428146