Floating-Point Error Analysis in Iterative Numerical Solvers

June 13, 2022Open Access

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Key Points

The aim is to analyze how round-off errors propagate in iterative numerical methods used in calculators and software.
Examined various iterative methods commonly implemented in scientific calculators and engineering software.
Conducted a detailed round-off error analysis to assess error propagation.
Focused on widely used numerical algorithms to evaluate their robustness.
Identified significant round-off error propagation in certain iterative methods.
Demonstrated that some methods are more susceptible to errors, affecting overall accuracy.
Recommended modifications to enhance precision in numerical computations.

Comprehensive study examines round-off error propagation in iterative methods, suggesting the need for improved accuracy.

A comprehensive study of round-off error propagation in commonly used iterative methods found in scientific calculators and engineering software.

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Moreau Daniel (2022) studied this question.

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