(untitled)

Nicholas J. Higham, A., & Stability of Numerical Algorithms, 2. e. (. (2002). (untitled).

Type

Book

Intellectual base

Review or monograph

Year

2002

DOI

10.1137/1.9780898718027

ISBN

9780898715217

Link

https://doi.org/10.1137/1.9780898718027

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Domain-specific

• Condition Number
  • A complete accuracy analysis connects both layers rather than using condition number as a synonym for numerical failure.
• Significant figures
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.

Mechanisms

• Basis Conditioning and Perturbation Audit
  • Its subtlety is that conditioning is relative to scaling and norm: a frightening condition number is sometimes an artifact of un-normalized units (metres mixed with microns), fixable by rescaling rather than by redesigning the basis — so the audit can raise false alarms if run on raw, unscaled generators.

    This sourceShows that condition numbers depend on the chosen norm and can sometimes be reduced through appropriate row or column scaling.

Verification

This reference passed the adversarial substantiation pipeline: it was checked to exist and to support the claim it is attached to. See how references were verified.

Registry ID ref:66814e5cb601 · see in the full table