2 citations · 2 across the 7 of their papers we have counts for
7 papers
A numeric study of power expansions around singular points of algebraic functions, their radii of convergence, and accuracy profiles
Dominic C. Milioto
An efficient method of computing power expansions of algebraic functions is the method of Kung and Traub and is based on exact arithmetic. This paper shows a numeric approach is bo…
Determining radii of convergence of fractional power expansions around singular points of algebraic functions
Dominic C. Milioto
The purpose of this paper is to introduce the branching geometry of algebraic functions around singular points and to describe a simple method of determining radii of convergence o…
A systematic approach to computing and indexing the fixed points of an iterated exponential
Dominic C. Milioto
This paper describes a systematic method of numerically computing and indexing fixed points of for fixed or equivalently, the roots of . The roots…
On the Branching Geometry of Algebraic Functions
Dominic C. Milioto
This paper describes an algorithm for determining the branching geometry of algebraic functions. The graphs of these complex-valued functions have a complicated interweaving struct…
An algorithm for determining the radii of convergence of algebraic power series
Dominic C. Milioto
This paper describes an algorithm for determining radii of convergence of power expansions for algebraic functions and the testing done to check it. Since the current methods for c…
A method for locating where the real part of the Riemann zeta function becomes negative for its real argument greater than one
Dominic C. Milioto
This paper describes a search algorithm to locate values of t where the real part of the Riemann zeta function, zeta(sigma+it), is negative for sigma>1. The run-time to execute the…