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Hilbert matrices

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Please see the attached file.

Solve the system of equations. Use Gaussian elimination.

Find the Doolittle LU decomposition of H5 with scaled partial pivoting.

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Solution Summary

The solution shows how to work with Hilbert matrices to solve a system of equations using Gaussian elimination and to find the Doolittle LU decomposition with scaled partial pivoting.

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Here are the MAPLE procedures that solve this assignment.

In the first file Gauss_Elim-final we solve the Gaussian elimination problem of the Hilbert matrices.

The main procedure there is the algorithm you supplied, so I didn't comment in the procedure itself.

The file LU-final solves the Doolittle LU decomposition problem.

Since the Doolittle algorithm results in an upper triangular ...

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