Category:LU Factorizations
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This category contains results about LU Factorizations.
Definitions specific to this category can be found in Definitions/LU Factorizations.
Let $\mathbf A$ be a square matrix.
An LU factorization of $\mathbf A$ is a factorization of $\mathbf A$ in the form:
- $\mathbf A = \mathbf {L U}$
where:
- $\mathbf L$ is a lower triangular matrix and $\mathbf U$ is a upper triangular matrix.
It is usual to arrange this so that either $\mathbf L$ or $\mathbf U$ has a unit diagonal.
Subcategories
This category has only the following subcategory.