A note on Newton-Noda iteration for computing the Perron pair of a weakly irreducible nonnegative tensor

DOI10.1016/j.aml.2023.108861MaRDI QIDQ6066884

Chun-Hua Guo

Publication date: 16 November 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

global convergencespectral radiusnonnegative tensorPerron vectorNewton-Noda iteration

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Basic linear algebra (15Axx) Special matrices (15Bxx)

Cites Work

• An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor
• Perron-Frobenius theorem for nonnegative multilinear forms and extensions
• 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
• Primitivity, the Convergence of the NQZ Method, and the Largest Eigenvalue for Nonnegative Tensors
• A Positivity Preserving Inverse Iteration for Finding the Perron Pair of an Irreducible Nonnegative Third Order Tensor
• Finding the Largest Eigenvalue of a Nonnegative Tensor
• Regenerative Analysis and Steady State Distributions for Markov Chains
• Tensor Analysis
• Noda iteration for computing generalized tensor eigenpairs

This page was built for publication: A note on Newton-Noda iteration for computing the Perron pair of a weakly irreducible nonnegative tensor