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1 lower-upper triangular decomposition
1. представление матрицы в виде произведения нижней и верхней треугольной матриц;2. LU-разложение матрицы (при таком разложении нижняя треугольная матрица имеет единичные диагональные элементы); см. также LU-decomposition; matrix decompositionАнгло-русский словарь промышленной и научной лексики > lower-upper triangular decomposition
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2 matrix decomposition
мультипликативное представление [разложение, факторизация] матрицы (представление матрицы в виде произведения нескольких (как правило, двух) матриц); см. generalized singular-value decomposition; Jordan decomposition; lower-upper triangular decomposition; QR-decomposition; singular-value decomposition; SV-LU-decompositionАнгло-русский словарь промышленной и научной лексики > matrix decomposition
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3 LU-decomposition
Англо-русский словарь промышленной и научной лексики > LU-decomposition
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4 треугольное разложение
triangular resolution мат., triangular decompositionРусско-английский научно-технический словарь Масловского > треугольное разложение
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5 треугольное разбиение матриц
triangular decomposition, triangulationРусско-английский словарь по электронике > треугольное разбиение матриц
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6 триангуляция
triangular decomposition, triangulation -
7 треугольное разбиение матриц
triangular decomposition, triangulationРусско-английский словарь по радиоэлектронике > треугольное разбиение матриц
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8 триангуляция
triangular decomposition, triangulationРусско-английский словарь по радиоэлектронике > триангуляция
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9 треугольное разложение
Mathematics: triangular decomposition (матрицы), triangular resolution (матрицы)Универсальный русско-английский словарь > треугольное разложение
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10 триангуляризация
1) Mathematics: triangularization2) General subject: triangular decomposition
См. также в других словарях:
Triangular matrix — In the mathematical discipline of linear algebra, a triangular matrix is a special kind of square matrix where the entries either below or above the main diagonal are zero. Because matrix equations with triangular matrices are easier to solve… … Wikipedia
Triangular factor — In linear algebra, triangular factors are triangular matrices resulting from LU decomposition or QR decomposition.In the QR decomposition, the resulting R matrix is a triangular factor.In the LU decomposition, the resulting L and U matrices are… … Wikipedia
LU decomposition — In linear algebra, LU decomposition (also called LU factorization) is a matrix decomposition which writes a matrix as the product of a lower triangular matrix and an upper triangular matrix. The product sometimes includes a permutation matrix as… … Wikipedia
Matrix decomposition — In the mathematical discipline of linear algebra, a matrix decomposition is a factorization of a matrix into some canonical form. There are many different matrix decompositions; each finds use among a particular class of problems. Contents 1… … Wikipedia
Cholesky decomposition — In linear algebra, the Cholesky decomposition or Cholesky triangle is a decomposition of a Hermitian, positive definite matrix into the product of a lower triangular matrix and its conjugate transpose. It was discovered by André Louis Cholesky… … Wikipedia
QR decomposition — In linear algebra, the QR decomposition (also called the QR factorization) of a matrix is a decomposition of the matrix into an orthogonal and a right triangular matrix. The QR decomposition is often used to solve the linear least squares problem … Wikipedia
Schur decomposition — In the mathematical discipline of linear algebra, the Schur decomposition or Schur triangulation (named after Issai Schur) is an important matrix decomposition. Statement The Schur decomposition reads as follows: if A is a n times; n square… … Wikipedia
Crout matrix decomposition — In linear algebra, the Crout matrix decomposition is an LU decomposition which decomposes a matrix into a lower triangular matrix (L), an upper triangular matrix (U) and, although not always needed, a permutation matrix (P). The Crout matrix… … Wikipedia
Lie group decomposition — In mathematics, Lie group decompositions are used to analyse the structure of Lie groups and associated objects, by showing how they are built up out of subgroups. They are essential technical tools in the representation theory of Lie groups and… … Wikipedia
Bruhat decomposition — In mathematics, the Bruhat decomposition G = BWB into cells can be regarded as a general expression of the principle of Gauss–Jordan elimination, which generically writes a matrix as a product of an upper triangular and lower triangular matrices… … Wikipedia
Block LU decomposition — In linear algebra, a Block LU decomposition is a decomposition of a block matrix into a lower block triangular matrix L and an upper block triangular matrix U . This decomposition is used in numerical analysis to reduce the complexity of the… … Wikipedia