Alois Schiessl

collaborators

4 papers

math.GM2026

A fixed point iteration method for the arctangent with any odd order of convergence based on sine and cosine

Alois Schiessl

In this paper, we present a fixed point method for the arctangent based on sine and cosine. Let $t \in R^{+}$ and $P \in N$ . We define: \[T\left(x\right)=x-\sum_{k=…

math.GM2026

A fixed-point iteration method for the number Pi with arbitrary odd order of convergence based on the sine function

Alois Schiessl

In this paper, we present a fixed point method for high-precision computation of number $I ¨ $ based on the sine function. Let $P \in N$ . We define the function: \[ S\left(x\…

math.GM2026

A root finding method with arbitrary order of convergence

Alois Schiessl

Let $a \in R^{+} \ {0}$ and $M \in N$ . We consider the equation $t^{M} - a = 0$ , which is equivalent to $1 - \frac{t ^{M}}{a} = 0 .$ The real solution is $\s…

math.GM2025

Just another method for generating series of even powers of number Pi

Alois Schiessl

In our previous publication we have shown a method for calculating series of even powers of $I ¨ $ based on the product representation of the $s in c$ function. We refer the readers to…