"Gaussian elimination" meaning in English

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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      "examples": [
        {
          "text": "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,\nWe 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)."
        },
        {
          "ref": "1989, Richard A. Blech, “Parallel Gaussian Elimination of a Block Tridiagonal Matrix Using Multiple Microcomputers”, in Technical Report, NASA, page 1",
          "text": "Theoretical partitioning and resource allocation for the Gaussian elimination method used to solve the matrix are discussed.",
          "type": "quotation"
        },
        {
          "ref": "1996, E. D'Hollander, G. R. Joubert, F. J. Peters, D. Trystram, Parallel Computing: State-of-the-art and Perspectives, Elsevier, page 642",
          "text": "The use of Gaussian eliminations limits the range of functionality of the algorithm, which operates only with square matrices A.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A method of reducing an augmented matrix to row echelon form."
      ],
      "id": "en-Gaussian_elimination-en-noun-nFt~NcVr",
      "links": [
        [
          "linear algebra",
          "linear algebra"
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        [
          "augmented matrix",
          "augmented matrix"
        ],
        [
          "row echelon form",
          "row echelon form"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A method of reducing an augmented matrix to row echelon form."
      ],
      "related": [
        {
          "word": "Cramer's rule"
        }
      ],
      "tags": [
        "countable",
        "uncountable"
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        "linear-algebra",
        "mathematics",
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      "translations": [
        {
          "code": "fr",
          "lang": "French",
          "sense": "Gaussian elimination",
          "tags": [
            "feminine"
          ],
          "word": "élimination de Gauss-Jordan"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "Gaussian elimination",
          "tags": [
            "feminine"
          ],
          "word": "méthode du pivot de Gauss"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Gaussian elimination",
          "tags": [
            "neuter"
          ],
          "word": "gaußsche Eliminationsverfahren"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Gaussian elimination",
          "tags": [
            "neuter"
          ],
          "word": "Gauß-Verfahren"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "Gaussian elimination",
          "tags": [
            "masculine"
          ],
          "word": "metodo di eliminazione di Gauss"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "Gaussian elimination",
          "tags": [
            "masculine"
          ],
          "word": "MEG"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "métod Gáussa",
          "sense": "Gaussian elimination",
          "tags": [
            "masculine"
          ],
          "word": "ме́тод Га́усса"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "Gaussian elimination",
          "word": "Gausselimination"
        }
      ],
      "wikipedia": [
        "Gaussian elimination"
      ]
    }
  ],
  "word": "Gaussian elimination"
}

{
  "forms": [
    {
      "form": "Gaussian eliminations",
      "tags": [
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  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Cramer's rule"
    }
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      "examples": [
        {
          "text": "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,\nWe 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)."
        },
        {
          "ref": "1989, Richard A. Blech, “Parallel Gaussian Elimination of a Block Tridiagonal Matrix Using Multiple Microcomputers”, in Technical Report, NASA, page 1",
          "text": "Theoretical partitioning and resource allocation for the Gaussian elimination method used to solve the matrix are discussed.",
          "type": "quotation"
        },
        {
          "ref": "1996, E. D'Hollander, G. R. Joubert, F. J. Peters, D. Trystram, Parallel Computing: State-of-the-art and Perspectives, Elsevier, page 642",
          "text": "The use of Gaussian eliminations limits the range of functionality of the algorithm, which operates only with square matrices A.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A method of reducing an augmented matrix to row echelon form."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "augmented matrix",
          "augmented matrix"
        ],
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          "row echelon form",
          "row echelon form"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A method of reducing an augmented matrix to row echelon form."
      ],
      "tags": [
        "countable",
        "uncountable"
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        "linear-algebra",
        "mathematics",
        "sciences"
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      "wikipedia": [
        "Gaussian elimination"
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  "translations": [
    {
      "code": "fr",
      "lang": "French",
      "sense": "Gaussian elimination",
      "tags": [
        "feminine"
      ],
      "word": "élimination de Gauss-Jordan"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "Gaussian elimination",
      "tags": [
        "feminine"
      ],
      "word": "méthode du pivot de Gauss"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Gaussian elimination",
      "tags": [
        "neuter"
      ],
      "word": "gaußsche Eliminationsverfahren"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Gaussian elimination",
      "tags": [
        "neuter"
      ],
      "word": "Gauß-Verfahren"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "Gaussian elimination",
      "tags": [
        "masculine"
      ],
      "word": "metodo di eliminazione di Gauss"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "Gaussian elimination",
      "tags": [
        "masculine"
      ],
      "word": "MEG"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "métod Gáussa",
      "sense": "Gaussian elimination",
      "tags": [
        "masculine"
      ],
      "word": "ме́тод Га́усса"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "Gaussian elimination",
      "word": "Gausselimination"
    }
  ],
  "word": "Gaussian elimination"
}