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Numerical algorithm for spectral radius of irreducibly nonnegative matrix. (Chinese. English summary) Zbl 1174.65367

Summary: A simple numerical algorithm on the spectral radius of irreducibly nonnegative matrix is given with the matrix diagonally similar change and the Perron-Frobenius theorem. The algorithm is similar to the classical one-power method to calculate the largest matrix eigenvalue by module, which can be applied to any irreducibly nonnegative matrix, and is quick and easy by choosing the parameters properly.

MSC:

65F15 Numerical computation of eigenvalues and eigenvectors of matrices
15B48 Positive matrices and their generalizations; cones of matrices
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