A. Sidi

activity

20152024

collaborators

Showing 2017Show all

3 papers · 1 filter

math.NA2017

A New Algorithm for the Higher-Order $G$ -Transformation

Avram Sidi

Let the scalars $A_{n}^{(j)}$ be defined via the linear equations $A_{l} = A_{n}^{(j)} + k = 1 \sum n α ˉ_{k} u_{k + l - 1}, l = j, j + 1, \dots, j + n .$ Here the $A_{i}$ and $u_{i}$ are known and the…

math.NA2017

A de Montessus Type Convergence Study for a Vector-Valued Rational Interpolation Procedure of Epsilon Class

Avram Sidi

In a series of recent publications of the author, three interpolation procedures, denoted IMPE, IMMPE, and ITEA, were proposed for vector-valued functions $F (z)$ , where $F : \C \to…

math.NA2017

Acceleration of Convergence of Some Infinite Sequences ${A_{n}}$ Whose Asymptotic Expansions Involve Fractional Powers of $n$ via the $d ~^{(m)}$ transformation

Avram Sidi

In this paper, we discuss the application of the author's $d ~^{(m)}$ transformation to accelerate the convergence of infinite series $\sum_{n = 1}^{\infty} a_{n}$ when the terms $a…

A New Algorithm for the Higher-Order G-Transformation

A de Montessus Type Convergence Study for a Vector-Valued Rational Interpolation Procedure of Epsilon Class

Acceleration of Convergence of Some Infinite Sequences {An​} Whose Asymptotic Expansions Involve Fractional Powers of n via the d~(m) transformation

A New Algorithm for the Higher-Order $G$ -Transformation

Acceleration of Convergence of Some Infinite Sequences ${A_{n}}$ Whose Asymptotic Expansions Involve Fractional Powers of $n$ via the $d ~^{(m)}$ transformation