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LU reduction

 Home Mathematics Fields of mathematics Algebra Linear algebra Numerical linear algebra
 0 By others on same topic  0 Discussions  1970-01-01  See my version
LU reduction, often referred to as LU decomposition, is a mathematical method used in linear algebra to factor a given square matrix \( A \) into the product of two matrices: a lower triangular matrix \( L \) and an upper triangular matrix \( U \). This can be expressed as: \[ A = LU \] ### Components: 1. **Lower Triangular Matrix (L)**: A matrix \( L \) where all the elements above the main diagonal are zero.

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