Certification of a Numerical Result: Use of Interval Arithmetic and Multiple Precision Hong Diep Nguyen and Nathalie Revol INRIA Universit´e de Lyon Laboratoire LIP (UMR 5668 CNRS - ENS Lyon - INRIA - UCBL)

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• Numerical analysis
• Mathematics
• Applied mathematics
• Iterative refinement
• Iterative method
• Interval arithmetic
• Newton's method
• Condition number
• Residual
• Root-finding algorithm
• Affine arithmetic

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• Computing
• Information and communications technology
• Internet
• Content delivery networks
• Computer networking
• Fastly
• Internet security
• Internet broadcasting
• Cache

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