Phrase guide

Gaussian elimination

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

A method of reducing an augmented matrix to row echelon form.

Definition source: English Wiktionary via Wiktextract

Usage: countable, uncountable

Topics: linear-algebra, mathematics, sciences

Examples

  • 1976, Thomas E. Rosmond, Frank D. Faulkner, Direct Solution of Elliptic Equations by Block Cyclic Reduction and Factorization, Monthly Weather Review, Volume 104, Issues 1-6, American Meteorological Society, page 644, We then repeat the Gaussian elimination procedure for the ( boldsymbol E-α2(2)) factor in (35), obtaining another intermediate solution vector. It is immediately apparent in this example that four Gaussian eliminations are necessary to obtain ψ_(i,4).

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

10 source translations are retained for this English entry.

  • French: élimination de Gauss-Jordan — Gaussian elimination
  • French: méthode du pivot de Gauss — Gaussian elimination
  • German: gaußsche Eliminationsverfahren — Gaussian elimination
  • German: Gauß-Verfahren — Gaussian elimination
  • Italian: metodo di eliminazione di Gauss — Gaussian elimination
  • Italian: MEG — Gaussian elimination
  • Polish: metoda eliminacji Gaussa — Gaussian elimination
  • Russian: ме́тод Га́усса (métod Gáussa) — Gaussian elimination
  • Spanish: eliminación gaussiana — Gaussian elimination
  • Swedish: Gausselimination — Gaussian elimination