Program (in a Python function; hint: extend the function from Assignment 1) a (mxm) LU factorization algorithm (using partial pivoting) for a matrix A and compute the PLU factors. The factorization is obtained by elimination steps k = 1,...,m-1 so that A-₁AV -k+1,...,m and where the multipliers mix are given by mi When km-1, A, is upper triangular, that is, U₁ = A). The lower triangular matrix is obtained using the multipliers m.,. that is Lij = mij Vi>j. Li,i = 1, and Lij = 0 Vi

Program (in a Python function; hint: extend the function from Assignment 1) a (mxm) LU factorization algorithm (using partial pivoting) for a matrix A and compute the PLU factors. The factorization is obtained by elimination steps k = 1,...,m-1 so that A-₁AV -k+1,...,m and where the multipliers mix are given by mi When km-1, A, is upper triangular, that is, U₁ = A). The lower triangular matrix is obtained using the multipliers m.,. that is Lij = mij Vi>j. Li,i = 1, and Lij = 0 Vi

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter2: Basic Linear Algebra

Section: Chapter Questions

Problem 20RP

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