Program (in a Python function) a LU factorization algorithm (without using (mxm) pivoting) for a matrix A. The factorization is obtained by elimination steps k= 1,...,m - 1 so that -muz Av i=k+1,...,m and j=k,...,m (m) When k = m - 1, A, is upper where the multipliers mi, are given by mik = (m) triangular, that is, U₁= A. The lower triangular matrix is obtained using the multipliers mix, that is Lijmij Vi > j, Li,i = 1, and Lij=0 Vi
Program (in a Python function) a LU factorization algorithm (without using (mxm) pivoting) for a matrix A. The factorization is obtained by elimination steps k= 1,...,m - 1 so that -muz Av i=k+1,...,m and j=k,...,m (m) When k = m - 1, A, is upper where the multipliers mi, are given by mik = (m) triangular, that is, U₁= A. The lower triangular matrix is obtained using the multipliers mix, that is Lijmij 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
Section2.1: Matrices And Vectors
Problem 6P
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PYTHON -LU factorization
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Print the diagonal entry of the U factor with smallest absolute value. Compute the number of non-zero pivots in U.
(The solution of smallest diagonal element magnitude = 5.29276e-04. Please show steps to attain solution.)
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Print the diagonal entry of the U factor with smallest absolute value. Compute the number of non-zero pivots in U.
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