The mean value form for complex analytic functions

Computing (Vienna/New York)

Volumn 67, Issue 3, 2001, Pages 255-268

  Neher, M ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Complex interval arithmetic; Mean value form; Quadratic convergence; Range enclosures for analytic functions

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; DIGITAL ARITHMETIC; PROBLEM SOLVING;

COMPLEX ANALYTIC FUNCTIONS; MEAN VALUE FORM; QUADRATIC CONVERGENCE;

FUNCTION EVALUATION;

EID: 0035197652     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006070170008     Document Type: Article

References (30)

1. Introduction to interval computations
2. Inclusion isotonicity of circular complex centered forms
3. Ordinary differential equations
4. Standard functions for real and complex point and interval arguments with dynamic accuracy
5. High-accuracy standard functions for real and complex intervals
6. Mean value forms in interval analysis
7. ACETAF 2.1: A software package for the computation of validated bounds for Taylor coefficients of analytic functions
8. Circular arithmetic and the determination of polynomial zeros
9. The range of values of a circular complex polynomial over a circular complex interval
10. Evaluating derivatives. Principles and techniques of algorithmic differentiation
11. On the centered form
12. A.: C-XSC: A C++ class library for extended scientific computing
13. Inverse standard functions for real and complex point and interval arguments with dynamic accuracy
14. Die zentrische Form in der Intervallarithmetik, ihre quadratische Konvergenz und ihre Inklusionsisotonie
15. Computer arithmetic in theory and practice
16. Circular centered forms for rational functions in several complex variables
17. Interval analysis
18. Validated bounds for Taylor coefficients of analytic functions
19. Interval methods for systems of equations
20. The representation of complex circular functions using Taylor series
21. Complex interval arithmetic and its applications
22. Automatic differentiation: Techniques and applications
23. Mean value and Taylor forms in interval analysis
24. Computer methods for the range of functions
25. The range of values of a complex polynomial over a complex interval
26. Rational circular complex centered forms
27. The circular complex centered form
28. A note on the circular complex centered form