eigs_test

eigs_test, a MATLAB code which calls eigs(), which is a built-in system function which can compute the eigenvalues and eigenvectors of a matrix.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

eigs_test is available in a MATLAB version and an Octave version.

Related Data and Programs:

jacobi_eigenvalue, a MATLAB code which implements the Jacobi iteration for the eigenvalues and eigenvectors of a real symmetric matrix.

linear_algebra, a MATLAB code which carries out various linear algebra operations for matrices stored in a variety of formats.

power_method, a MATLAB code which carries out the power method for finding a dominant eigenvalue and its eigenvector.

test_eigen, a MATLAB code which generates random real symmetric and nonsymmetric matrices with known eigenvalues and eigenvectors, to test eigenvalue algorithms.

test_matrix, a MATLAB code which defines test matrices for which the condition number, determinant, eigenvalues, eigenvectors, inverse, null vectors, P*L*U factorization or linear system solution are known. Examples include the Fibonacci, Hilbert, Redheffer, Vandermonde, Wathen and Wilkinson matrices.

Source Code:

• eigs_test.m calls all the tests.
• eigs_test.sh runs all the tests.
• eigs_test.txt the output file.

• eigs_nonsymmetric_test.m calls eigs() for a real nonsymmetric matrix A, chosen so that its eigenvalues are all real.
• eigs_symmetric_test.m calls eigs() for a real symmetric matrix A, for which all eigenvalues are guaranteed to be real.