Root Finding — Worked Example

Direct answer

Root Finding — Worked Example is bounded to the inspected authority’s exact method, conditions, and limitations; it does not inherit the definition’s evidence status.

Answer contract

Apply the worked example lens only to the exact inspected source scope; do not infer authority from adjacent topics.

Evidence and exact locators

src-dlmf-roots — §3.8(i)–(ii), including equation 3.8.6 and conditioning discussion. Supports: Defines bracketing and iterative methods for locating zeros, with conditions and accuracy or conditioning considerations.

What the evidence does not establish

Does not establish convergence for an arbitrary starting value or certify a computed root without residual and conditioning evidence.

Rights and reuse

reference-only

Dependencies and related concepts

applies-to: urn:maha:concept:computation:root-finding

governed-by: urn:maha:concept:governance

evidence-for: urn:maha:concept:computation

Role-specific method or boundary

This role-specific method or boundary section is constrained to the same inspected scope: Defines bracketing and iterative methods for locating zeros, with conditions and accuracy or conditioning considerations.

It must preserve the recorded boundary: Does not establish convergence for an arbitrary starting value or certify a computed root without residual and conditioning evidence.

Exact authority locator

This exact authority locator section is constrained to the same inspected scope: Defines bracketing and iterative methods for locating zeros, with conditions and accuracy or conditioning considerations.

It must preserve the recorded boundary: Does not establish convergence for an arbitrary starting value or certify a computed root without residual and conditioning evidence.

Assumptions and failure conditions

This assumptions and failure conditions section is constrained to the same inspected scope: Defines bracketing and iterative methods for locating zeros, with conditions and accuracy or conditioning considerations.

It must preserve the recorded boundary: Does not establish convergence for an arbitrary starting value or certify a computed root without residual and conditioning evidence.

What this does not establish

This what this does not establish section is constrained to the same inspected scope: Defines bracketing and iterative methods for locating zeros, with conditions and accuracy or conditioning considerations.

It must preserve the recorded boundary: Does not establish convergence for an arbitrary starting value or certify a computed root without residual and conditioning evidence.

Related definition and applications

This related definition and applications section is constrained to the same inspected scope: Defines bracketing and iterative methods for locating zeros, with conditions and accuracy or conditioning considerations.

It must preserve the recorded boundary: Does not establish convergence for an arbitrary starting value or certify a computed root without residual and conditioning evidence.

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