Sharp error bounds for complex floating-point inversion

DOI10.1007/s11075-016-0115-xzbMath1357.65028OpenAlexW2237519095MaRDI QIDQ342874

Jean-Michel Muller, Antoine Plet, Claude-Pierre Jeannerod, Nicolas Louvet

Publication date: 18 November 2016

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://hal-ens-lyon.archives-ouvertes.fr/ensl-01195625v2/file/VersionAccepteeNumericalAlgorithmsFeb2016.pdf

zbMATH Keywords

floating-point arithmeticcomplex inversioncomplex numberrounding error analysis

Mathematics Subject Classification ID

Roundoff error (65G50) Computation of special functions and constants, construction of tables (65D20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05)

Related Items

Floating-point arithmetic

Uses Software

• mctoolbox

Cites Work

• Error bounds on complex floating-point multiplication
• A note on complex division
• Sharp ULP rounding error bound for the hypotenuse function
• Accuracy and Stability of Numerical Algorithms
• Accurate Floating-Point Summation Part I: Faithful Rounding
• Efficient scaling for complex division
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