TOOLS > SCALING/DECOMPOSITION >EIGENVECTORS OF NONSYMMETRIC MATRIX

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TOOLS > SCALING/DECOMPOSITION >EIGENVECTORS OF NONSYMMETRIC MATRIX

PURPOSE Find left and right eigenvectors and eigenvalues of a square matrix.

DESCRIPTION A square (not necessairly symmetric) nxn matrix has up to n eigenvalues and associated eigenvectors. If the matrix is symmetric then the are all real but for non-symmetric matrices they may be complex. The eigenvalues ? satisfy the equation Ax=?x, the x's are the right eigenvectors and the left eigenvectors are the eigenvectors corresponding to the transpose of A. If A is symmetric thesre are obviously equal.

PARAMETERS
Input network dataset:
File containing square matrix A. Data type: Square Matrix.

(Output) Eigenvalues: (Default = '<filename>-evals')
Name of dataset to contain eigenvalues

(Output) Right eigenvectors: (Default = '<filename>-revecs')
Name of dataset to contain right eigenvectors.

What to extract
Radio buttons to allow the user to just find the eigenvalues or the left or right eigenvectors together with the eigenvalues or all eigenvectors and eigenvalues.

LOG FILE The output lists the eigenvalues followed by the requested eigenvectors in corresponding order.

TIMING O(N^3).

COMMENTS

REFERENCES