The mean value form of complex analytic functions

Authors:
M. Neher
Affiliations:
Univ. Karlsruhe, Karlsruhe, Germany
Venue:
Computing
Year:
2001

Citing 7
Cited 2

Rational circular complex centered forms

Journal of Computational and Applied Mathematics
Inclusion isotonicity of circular complex centered forms

BIT
Standard functions for real and complex point and interval arguments with dynamic accuracy

on Scientific Computational with automatic result verification
Circular centered forms for rational functions in several complex variables

Journal of Computational and Applied Mathematics
Evaluating derivatives: principles and techniques of algorithmic differentiation

Evaluating derivatives: principles and techniques of algorithmic differentiation
Computer Arithmetic in Theory and Practice

Computer Arithmetic in Theory and Practice
C-XSC: A C++ Class Library for Extended Scientific Computing

C-XSC: A C++ Class Library for Extended Scientific Computing

ACETAF: A software package for computing validated bounds for Taylor coefficients of analytic functions

ACM Transactions on Mathematical Software (TOMS)
Complex standard functions and their implementation in the CoStLy library

ACM Transactions on Mathematical Software (TOMS)

Quantified Score

Hi-index	0.00

Visualization

Abstract

The mean value form for the computation of range bounds for complex analytic functions is considered, both of rectangular and for circular complex intervals. Quadratic convergence and inclusion isotonicity of the mean value form are proved and a comparison with centered form is made.