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algebra > linear algebra > matrix > square matrix > triangular matrix

Terme préférentiel

triangular matrix  

Définition

  • In mathematics, a triangular matrix is a special kind of square matrix. A square matrix is called lower triangular if all the entries above the main diagonal are zero. Similarly, a square matrix is called upper triangular if all the entries below the main diagonal are zero.
    Because matrix equations with triangular matrices are easier to solve, they are very important in numerical analysis. By the LU decomposition algorithm, an invertible matrix may be written as the product of a lower triangular matrix L and an upper triangular matrix U if and only if all its leading principal minors are non-zero.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Triangular_matrix)

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