Explore BrainMass

Hilbert matrices

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Solve the system of equations. Use Gaussian elimination.

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

https://brainmass.com/math/matrices/hilbert-matrices-177314

Solution Preview

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 ...

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.

\$2.49