Computing zeros of analytic mappings: A logarithmic residue approach

DOI10.1007/BF02510261zbMath0916.65053WikidataQ57778989 ScholiaQ57778989MaRDI QIDQ1272883

Ronald Cools, Ann Haegemans, Peter Kravanja

Publication date: 6 July 1999

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

numerical examplesHankel matrix techniqueslogarithmic residue integralszeros of analytic mappings

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) 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)

Related Items (1)

On locating the zeros and poles of a meromorphic function

Uses Software

• DCUHRE
• LAPACK
• RFSFNS
• CLAPACK

Cites Work

• RFSFNS: A portable package for the numerical determination of the number and the calculation of roots of Bessel functions
• Efficient computation of zero-dimensional Gröbner bases by change of ordering
• How bad are Hankel matrices?
• Efficient incremental algorithms for the sparse resultant and the mixed volume
• Mixed, Componentwise, and Structured Condition Numbers
• On Locating All Zeros of an Analytic Function within a Bounded Domain by a Revised Delves/Lyness Method
• Solving systems of nonlinear equations using the nonzero value of the topological degree
• The Calculation of the Topological Degree by Quadrature
• Solving Polynomial Systems Using a Branch and Prune Approach
• Algorithm 698: DCUHRE
• Locating and Computing All the Simple Roots and Extrema of a Function
• A Numerical Method for Locating the Zeros of an Analytic Function
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