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This research evaluates the numerical stability of various root-finding algorithms used in financial calculators under extreme conditions.

June 20, 2026Open Access

Numerical Stability of Root-Finding Algorithms in Financial Calculators

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This research evaluates the numerical stability of various root-finding algorithms used in financial calculators under extreme conditions.
Comparative analysis of Newton-Raphson, Secant, and Brent’s methods
Focus on performance metrics related to numerical robustness
Testing conducted under different extreme computational scenarios.
Newton-Raphson method exhibited decreased stability under extreme conditions compared to Secant and Brent’s methods
Brent’s method demonstrated the highest numerical robustness across all tests
Significant differences in algorithm performance were confirmed through detailed numerical analysis.

Comparative analysis of root-finding algorithms reveals differences in numerical robustness under extreme conditions.

Comparative analysis of Newton-Raphson, Secant, and Brent’s methods with focus on numerical robustness under extreme conditions.

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Moreau Daniel (2024) studied this question.

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Comparative analysis of root-finding algorithms reveals differences in numerical robustness under extreme conditions.

Comparative analysis of Newton-Raphson, Secant, and Brent’s methods with focus on numerical robustness under extreme conditions.