Numerical Stability — Uncertainty

Direct answer

Numerical Stability — Uncertainty 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 uncertainty lens only to the exact inspected source scope; do not infer authority from adjacent topics.

Evidence and exact locators

src-nist-stability — Discussion of stability and conditioning. Supports: Distinguishes an ill-conditioned problem from an unstable algorithm and bounds stability by comparison with inherent error.

What the evidence does not establish

Does not establish the stability of a named algorithm without an analysis under its stated inputs and arithmetic.

Rights and reuse

reference-only

Dependencies and related concepts

applies-to: urn:maha:concept:computation:numerical-stability

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: Distinguishes an ill-conditioned problem from an unstable algorithm and bounds stability by comparison with inherent error.

It must preserve the recorded boundary: Does not establish the stability of a named algorithm without an analysis under its stated inputs and arithmetic.

Exact authority locator

This exact authority locator section is constrained to the same inspected scope: Distinguishes an ill-conditioned problem from an unstable algorithm and bounds stability by comparison with inherent error.

It must preserve the recorded boundary: Does not establish the stability of a named algorithm without an analysis under its stated inputs and arithmetic.

Assumptions and failure conditions

This assumptions and failure conditions section is constrained to the same inspected scope: Distinguishes an ill-conditioned problem from an unstable algorithm and bounds stability by comparison with inherent error.

It must preserve the recorded boundary: Does not establish the stability of a named algorithm without an analysis under its stated inputs and arithmetic.

What this does not establish

This what this does not establish section is constrained to the same inspected scope: Distinguishes an ill-conditioned problem from an unstable algorithm and bounds stability by comparison with inherent error.

It must preserve the recorded boundary: Does not establish the stability of a named algorithm without an analysis under its stated inputs and arithmetic.

Related definition and applications

This related definition and applications section is constrained to the same inspected scope: Distinguishes an ill-conditioned problem from an unstable algorithm and bounds stability by comparison with inherent error.

It must preserve the recorded boundary: Does not establish the stability of a named algorithm without an analysis under its stated inputs and arithmetic.

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