Generalized tensor equations with leading structured tensors

DOI10.1016/j.amc.2019.05.042zbMath1428.15026arXiv1810.05870OpenAlexW2963791345WikidataQ114211038 ScholiaQ114211038MaRDI QIDQ2279603

Hongjin He, Chen Ling, Weijie Yan, Liyun Ling

Publication date: 13 December 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.05870

zbMATH Keywords

error boundLevenberg-Marquardt algorithmP-tensor\( \operatorname{Z}^+\)-tensorgeneralized tensor equations

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Multilinear algebra, tensor calculus (15A69)

Related Items (10)

Preconditioned Jacobi type method for solving multi-linear systems with \(\mathcal{M}\)-tensors ⋮ A homotopy method for multikernel-based approximation ⋮ Accelerated dynamical approaches for finding the unique positive solution of \(\mathcal{KS}\)-tensor equations ⋮ A new preconditioned AOR-type method for \(\mathcal{M}\)-tensor equation ⋮ Generalized Tensor Complementarity Problems Over a Polyhedral Cone ⋮ A nonnegativity preserving algorithm for multilinear systems with nonsingular \(\mathcal{M}\)-tensors ⋮ Neural network approach for solving nonsingular multi-linear tensor systems ⋮ Newton's method for M-tensor equations ⋮ A homotopy method for solving multilinear systems with strong completely positive tensors ⋮ Positive definite multi-kernels for scattered data interpolations

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