Rational circular complex centered forms

DOI10.1016/0377-0427(87)90108-7zbMath0614.65051OpenAlexW2090759725MaRDI QIDQ1819894

Jon G. Rokne

Publication date: 1987

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(87)90108-7

zbMATH Keywords

circular arithmeticinterval analysiscomplex analysiscentered forms

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Approximation in the complex plane (30E10) Approximation by rational functions (41A20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05)

Related Items (4)

A family of centered forms for rational functions ⋮ Circular centered forms for rational functions in several complex variables ⋮ Inclusion isotonicity for circular centered forms in several complex variables ⋮ Forms for meromorphic functions

Cites Work

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• The range of values of a circular complex polynomial over a circular complex interval
• Centered forms for functions in several variables
• The circular complex centered form
• The centered form for interval polynomials
• Bounds for an interval polynomial
• A note on the circular complex centered form
• Circular arithmetic and the determination of polynomial zeros
• The Representation of Complex Circular Functions Using Taylor Series
• About the Centered Form
• Centered Forms
• On the Evaluation of Rational Functions in Interval Arithmetic
• Complex interval arithmetic
• Quadratic convergence in interval arithmetic, part II
• More on quadratic convergence in interval arithmetic
• Arithmetic of complex sets

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