"singular value decomposition" meaning in English

See singular value decomposition in All languages combined, or Wiktionary

Noun

Forms: singular value decompositions [plural]
Head templates: {{en-noun}} singular value decomposition (plural singular value decompositions)
  1. (linear algebra) A particular type of factorisation of a matrix into a product of three matrices, of which the second is a diagonal matrix that has as the entries on its diagonal the singular values of the original matrix. Wikipedia link: singular value decomposition Categories (topical): Linear algebra Synonyms: SVD Translations (linear algebra: type of factorisation of a matrix): 奇异值分解 (qíyìzhífènjiě) (Chinese Mandarin), pääakselihajotelma (Finnish), Singulärwertzerlegung [feminine] (German)
    Sense id: en-singular_value_decomposition-en-noun-KWamOMUJ Categories (other): English entries with incorrect language header Topics: linear-algebra, mathematics, sciences

Inflected forms

Alternative forms

Download JSON data for singular value decomposition meaning in English (2.0kB)

{
  "forms": [
    {
      "form": "singular value decompositions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "singular value decomposition (plural singular value decompositions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Linear algebra",
          "orig": "en:Linear algebra",
          "parents": [
            "Algebra",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A particular type of factorisation of a matrix into a product of three matrices, of which the second is a diagonal matrix that has as the entries on its diagonal the singular values of the original matrix."
      ],
      "id": "en-singular_value_decomposition-en-noun-KWamOMUJ",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "matrix",
          "matrix"
        ],
        [
          "diagonal matrix",
          "diagonal matrix"
        ],
        [
          "entries",
          "entry"
        ],
        [
          "singular value",
          "singular value"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A particular type of factorisation of a matrix into a product of three matrices, of which the second is a diagonal matrix that has as the entries on its diagonal the singular values of the original matrix."
      ],
      "synonyms": [
        {
          "word": "SVD"
        }
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "qíyìzhífènjiě",
          "sense": "linear algebra: type of factorisation of a matrix",
          "word": "奇异值分解"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "linear algebra: type of factorisation of a matrix",
          "word": "pääakselihajotelma"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "linear algebra: type of factorisation of a matrix",
          "tags": [
            "feminine"
          ],
          "word": "Singulärwertzerlegung"
        }
      ],
      "wikipedia": [
        "singular value decomposition"
      ]
    }
  ],
  "word": "singular value decomposition"
}
{
  "forms": [
    {
      "form": "singular value decompositions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "singular value decomposition (plural singular value decompositions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Linear algebra"
      ],
      "glosses": [
        "A particular type of factorisation of a matrix into a product of three matrices, of which the second is a diagonal matrix that has as the entries on its diagonal the singular values of the original matrix."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "matrix",
          "matrix"
        ],
        [
          "diagonal matrix",
          "diagonal matrix"
        ],
        [
          "entries",
          "entry"
        ],
        [
          "singular value",
          "singular value"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A particular type of factorisation of a matrix into a product of three matrices, of which the second is a diagonal matrix that has as the entries on its diagonal the singular values of the original matrix."
      ],
      "synonyms": [
        {
          "word": "SVD"
        }
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "singular value decomposition"
      ]
    }
  ],
  "translations": [
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "qíyìzhífènjiě",
      "sense": "linear algebra: type of factorisation of a matrix",
      "word": "奇异值分解"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "linear algebra: type of factorisation of a matrix",
      "word": "pääakselihajotelma"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "linear algebra: type of factorisation of a matrix",
      "tags": [
        "feminine"
      ],
      "word": "Singulärwertzerlegung"
    }
  ],
  "word": "singular value decomposition"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.