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This topic has appeared in the trending rankings 1 time(s) in the past year. While it does not trend frequently, its appearance suggests a renewed or concentrated surge of public interest.
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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-06-04 and was most recently seen on 2026-06-04.
In numerical analysis and linear algebra, lower–upper (LU) decomposition or factorization factors a matrix as the product of a lower triangular matrix and an upper triangular matrix. The product sometimes includes a permutation matrix as well. LU decomposition can be viewed as the matrix form of Gaussian elimination. Computers usually solve square systems of linear equations using LU decomposition, and it is also a key step when inverting a matrix or computing the determinant of a matrix. It is also sometimes referred to as LR decomposition. The LU decomposition algorithm for general matrices was introduced by the Polish astronomer Tadeusz Banachiewicz in 1938.
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