LU Factorization

Computes the factorization x = LU. This function is only defined for matrices and no pivoting is performed.

The function returns matrix z that contains the strictly lower triangular L without its unit diagonal, and the upper triangular U as submatrices. That is, if z = lufactorize(x), then z = U+L-E and x = LU. E is a unit matrix.

Syntax

lufactorize(x)

Types
 Variable NameValue TypeVariable Type
Argument:xreal, complexmatrix
Result: zreal, complex matrix
Calculator Input

Use the lufactorize button to complete the operation.

Example
IDDescriptionTypeValueExpression
xArgumentREAL MATRIX

[[1,2],[3,4]]
z Result REAL MATRIX

lufactorize(x)