Two-step Noda iteration for irreducible nonnegative matrices

DOI10.1080/03081087.2022.2158298OpenAlexW4311874550MaRDI QIDQ6198677

Xiao Shan Chen, Unnamed Author

Publication date: 23 February 2024

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2022.2158298

zbMATH Keywords

M-matrixcubic convergenceirreducible nonnegative matrixtwo-step Noda iteration

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical linear algebra (65F99)

Cites Work

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• Noda iterations for generalized eigenproblems following Perron-Frobenius theory
• Inverse iteration for calculating the spectral radius of a non-negative irreducible matrix
• Inexact generalized Noda iterations for generalized eigenproblems
• A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible \(M\)-matrix
• Newton-noda iteration for finding the Perron pair of a weakly irreducible nonnegative tensor
• Note on the computation of the maximal eigenvalue of a non-negative irreducible matrix
• A Positivity Preserving Inverse Iteration for Finding the Perron Pair of an Irreducible Nonnegative Third Order Tensor
• Computing the Smallest Eigenvalue of an M-Matrix
• Two‐sided Rayleigh quotient iteration for periodic eigenvalue problems

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