LU decomposition
Triangular matrix product
LU decomposition is a method in linear algebra for factoring a matrix into the product of a lower triangular matrix (L) and an upper triangular matrix (U).
This decomposition simplifies solving systems of linear equations, computing determinants, and finding matrix inverses.
Once you have the LU decomposition, solving for different right-hand sides becomes trivial.
- matrixOrdered numerical arrangement
- factorizationDecomposing into multiplicative parts
- pivotPoint of rotation
- triangularThree-cornered in form
- eliminationAct of removing entirely
linear · algebra · solver · determinant · inverse · sparse · numerical · lower · upper · permutation · MATLAB · Cramer · forward · backward · substitution · coefficient · equations · rank
- linear algebramatrix, linear equation, vectors, linear function, matrices
- algorithmsalgorithm, algorithms, DFS, binary search, A star
- Decompositionseigendecomposition, diagonalization, prime factorization, factoring, PCA
- dimensionality reductionPCA, eigenvalues, eigenvector, loading, factors
- numerical methodsbisection, interpolation, Gaussian elimination, least squares, convergence
- matricestranspose, determinants, rows, cells, Hermitian matrices
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