noun
LU decomposition
Technical term in linear algebra; factorization of a matrix into a lower triangular and an upper triangular matrix.
連立方程式を解くために、行列のＬＵ分解を計算した。
To solve the system of linear equations, we computed the LU decomposition of the matrix.
QR decomposition is another matrix factorization, decomposing a matrix into an orthogonal matrix Q and an upper triangular matrix R, used for different numerical methods.
Cholesky decomposition is a specialized LU decomposition for symmetric positive-definite matrices, often more efficient.
From English 'LU decomposition', where L stands for lower triangular and U for upper triangular. The Japanese term is a direct borrowing with 分解 (decomposition).