A Survey of Error Analysis
Explore this paper's citation graph
Summary
Rounding error is just one kind of error, and an easier kind to analyze than some others, and error and uncertainty in data is a more important kind, and not so easy to estimate nor analyze; here is where error analysts are currently busiest.
- Type
- article
- Published
- 1971-08-27
- Cited by
- 89
- References
- 0
- OpenAlex
- https://openalex.org/W2131670453
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:7319965
Keywords
Round-off error, Rounding, Computer science, Error analysis, Error detection and correction
References
No references recorded for this paper.
Cited by
- Functional stability analysis of numerical algorithms
- Opérateurs et engins de calcul en virgule flottante et leur application à la simulation en temps réel sur FPGA
- CS 279 Annotated Course Bibliography
- Remarks on the complexity of roundoff analysis
- Experiments with data perturbations to study condition numbers and numerical stability
- An Improved Algorithm for Crossdating Tree-Ring Series
- On iterative algorithms for the polar decomposition of a matrix and the matrix sign function
- Foundations of Acoustic Methods Used in Non-Destructive Inspection of Laminated Materials
- Introduction to Interval Analysis
- Surface approximations in geometric modeling
- Interval Mathematics: Proceedings of the International Symposium Karlsruhe, West Germany, May 20–24, 1975
- Self-Alignment Schemes for the Implementation of Addition-Related Floating-Point Operators
- Accurate Sum and Dot Product
- Test for (IN) equality, subtraction, proof of correctness
- Performance of Gauss implicit Runge-Kutta methods on separable Hamiltonian systems
- Computational complexity and numerical stability
- The INTEL® 8087 numeric data processor
- Toward mechanical verification of properties of roundoff error propagation
- The Construction of Numerical Subroutine Libraries
- Accurate Floating-Point Summation Part I: Faithful Rounding
Related papers
- A floating-point technique for extending the available precision
- Rounding errors in algebraic processes
- INVERSE PROBLEMS NEWSLETTER
- The Art of Computer Programming
- Adaptive Precision Floating-Point Arithmetic and Fast Robust Geometric Predicates
- The algebraic eigenvalue problem
- Floating-point computation
- Accurate Sum and Dot Product
- On properties of floating point arithmetics: numerical stability and the cost of accurate computations
- IEEE Standard for Binary Floating Point Arithmetic