A Class of Diagonal Transformation Methods for the Computation of the Spectral Radius of a Nonnegative Irreducible Matrix

DOI10.1137/0718046zbMath0478.65017OpenAlexW2070018588MaRDI QIDQ3936098

Publication date: 1981

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0718046

zbMATH Keywords

numerical examples spectral radius power method stochastic matrix nonnegative irreducible matrix diagonal transformation total step method

Mathematics Subject Classification ID

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

Related Items (6)

An algorithm of diagonal transformation for Perron root of nonnegative irreducible matrices ⋮ On the Perron root and eigenvectors associated with a subshift of finite type ⋮ A modified algorithm for the Perron root of a nonnegative matrix ⋮ The Yakubovich S-Lemma Revisited: Stability and Contractivity in Non-Euclidean Norms ⋮ An efficient algorithm for finding the maximal eigenvalue of zero symmetric nonnegative matrices ⋮ Diagonal transformation methods for computing the maximal eigenvalue and eigenvector of a nonnegative irreducible matrix

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