ＬＵ分解えるゆーぶんかい

Meanings

noun

LU decomposition

mathematics

Technical term in linear algebra; factorization of a matrix into a lower triangular and an upper triangular matrix.

連れん立りつ方ほう程てい式しきを解とくために、行ぎょう列れつのＬＵ分ぶん解かいを計けい算さんした。
To solve the system of linear equations, we computed the LU decomposition of the matrix.

Kanji

分part, minute of time, segment
解unravel, notes, key

Related words

ＱＲ分解きゅーあーるぶんかい
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.
コレスキー分ぶん解かい
Cholesky decomposition is a specialized LU decomposition for symmetric positive-definite matrices, often more efficient.

Written forms

ＬＵ分解えるゆーぶんかい
Standard technical spelling using fullwidth Latin letters and kanji.
LU分ぶん解かい
Halfwidth Latin variant commonly seen in technical documents.

Etymology

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).