An automatic and guaranteed determination of the number of roots of an analytic function interior to a simple closed curve in the complex plane

DOI10.1007/BF02385255zbMath0840.65013OpenAlexW25639522MaRDI QIDQ1904306

Yanyan Li

Publication date: 30 June 1996

Published in: Reliable Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02385255

zbMATH Keywords

numerical experimentsanalytic functionerror estimationautomatic differentiationargument principlecomplex interval arithmeticSimpson's rulenumber of roots

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Approximation in the complex plane (30E10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05)

Related Items (4)

On the computation of hybrid modes in planar layered waveguides with multiple anisotropic conductive sheets ⋮ Enclosing all zeros of a system of analytic functions ⋮ A closed-form solution to the geometric goat problem ⋮ Enclosing all zeros of an analytic function - a rigorous approach

Uses Software

• VPI

Cites Work

• Numerical derivatives and nonlinear analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An automatic and guaranteed determination of the number of roots of an analytic function interior to a simple closed curve in the complex plane