How do you compute the midpoint of an interval?

DOI10.1145/2493882zbMath1305.65252OpenAlexW2054870455WikidataQ62353948 ScholiaQ62353948MaRDI QIDQ5498687

Frédéric Goualard

Publication date: 10 February 2015

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/2493882

zbMATH Keywords

interval arithmeticmidpointfloating-point numberIEEE 754 standardrounding error

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Roundoff error (65G50) Mathematical aspects of software engineering (specification, verification, metrics, requirements, etc.) (68N30) Numerical algorithms for computer arithmetic, etc. (65Y04)

Related Items (6)

Floating-point arithmetic ⋮ Testing interval arithmetic libraries, including their IEEE-1788 compliance ⋮ Fast interval matrix multiplication ⋮ A standard branch-and-bound approach for nonlinear semi-infinite problems ⋮ Rigorous Estimation of Floating-Point Round-off Errors with Symbolic Taylor Expansions ⋮ A parameterized floating-point formalizaton in HOL Light

Uses Software

• C-XSC
• PROFIL/BIAS
• INTLAB
• RealPaver
• mctoolbox
• gaol
• filib++
• Boost
• IBEX
• Boost Interval Arithmetic

Cites Work

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• The design of the Boost interval arithmetic library
• Fast and parallel interval arithmetic
• PROFIL/BIAS - A fast interval library
• Preconditioners for the Interval Gauss–Seidel Method
• Algorithm 852
• FILIB++, a fast interval library supporting containment computations
• Centered Forms
• Interval Methods for Systems of Equations
• Accuracy and Stability of Numerical Algorithms
• Pitfalls in Computation, or why a Math Book isn't Enough

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