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- W2964214237 abstract "We propose a modified Newton iteration for finding some nonnegative Z-eigenpairs of a nonnegative tensor. When the tensor is irreducible, all nonnegative eigenpairs are known to be positive. We prove local quadratic convergence of the new iteration to any positive eigenpair of a nonnegative tensor, under the usual assumption guaranteeing the local quadratic convergence of the original Newton iteration. A big advantage of the modified Newton iteration is that it seems capable of finding a nonnegative eigenpair starting with any positive unit vector. Special attention is paid to transition probability tensors." @default.
- W2964214237 created "2019-07-30" @default.
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- W2964214237 date "2017-05-21" @default.
- W2964214237 modified "2023-09-24" @default.
- W2964214237 title "A modified Newton iteration for finding nonnegative Z-eigenpairs of a nonnegative tensor" @default.
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- W2964214237 doi "https://doi.org/10.48550/arxiv.1705.07487" @default.
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