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Procedure Script LU decomposition on a matrix array

LRProcedureScript

the matrix is applied twice followed by the vector b, the first matrix field becomes LR (stepwise) beware of rounding errors...increase decimal places (15) k - step to make zeros to collumn k L - calculate the red formulas - make collumn k of L R - calculate the black formulas - make lines k+1..n of R k↕p - exchange line k-p L R - generate new L,R matrices if n has changed add vector b (= Ax) in TAB column 2n+1 Details and basics CAS LR Factorization Matrix Array Version MathCad/SMath LU matrix array and row/column permutation vector

SMath Code

SMath Code
TotalPivot CRPivot(), LR-Schritt PLRQ(), z,s Vektoren Zeilen/Spaltentausche