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Bracketed Polynomial Root Finder
Find one bracketed real polynomial root with complete convergence diagnostics.
Descending-power coefficients, Lower bracket endpoint, Upper bracket endpoint, Absolute tolerance, Relative tolerance, Maximum iterations
JSON
Browser only
Runs locally in your browser. Your files, pasted content and generated output are not uploaded. Reset clears this tool’s working data.
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How to use this tool
- Enter the displayed example values,or choose the local input files requested by the controls. Optional source files take precedence where labelled.
- Choose Calculate result and inspect the complete result and any reported limitations.
- Use Download result and each companion download link to save complete outputs. Reset clears output and restores example controls.
Examples
Descending-power coefficients: [1,0,-2]
Lower bracket endpoint: 0
Upper bracket endpoint: 2
Absolute tolerance: 1e-12
Relative tolerance: 1e-12
Maximum iterations: 128
Limitations
- Search for one real polynomial root by bisection inside an increasing sign-changing bracket. Enter2–51 descending-power numeric coefficients within +/-1e12 and endpoints within +/-1e12. The report includes the whole iteration trace,residual,final interval and convergence status. Endpoint or midpoint zero means a floating evaluation zero. No claim of exact zero,uniqueness,all roots or no roots elsewhere. Maximum iterations1–256; positive absolute tolerance1e-15–1 and relative tolerance0–0.001. Download the complete JSON report. All processing stays in your browser. Combined input limit: 400,000 UTF-8 bytes, 100,000 characters per field; report limit: 4 MiB. Floating-point rounding and probability underflow can occur.
- Complete outputs only. Unsupported or oversized input is refused. Follow the displayed job-specific bounds and format policies.
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