jacobi_test

jacobi_test, an Octave code which calls jacobi(), which sets up the Jacobi iteration for linear systems.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Related Data and Programs:

jacobi, an Octave library which implements the Jacobi iteration for solving symmetric positive definite (SPD) systems of linear equations.

Source Code:

• jacobi_test.m, calls all the tests;
• jacobi_test.sh, runs all the tests;
• jacobi_test.txt, the output file.

• dif2_matrix.m, defines the -1, 2, -1 tridiagonal matrix.
• jacobi_test01.m, tests JACOBI1 on the -1,2,-1 matrix;
• jacobi_test02.m, tests JACOBI3 on a 3x3 version of the -1,2,-1 matrix.

• jacobi_residual.png a PNG image of the square of the norm of the residual (Ax-b).
• jacobi_evolution.png a PNG image of the evolution or trajectories of the solution values as the iteration proceeds.
• jacobi_motion.png a PNG image of the "motion" of the solution values, which is the averaged distance each entry moves during an iteration.