Nekrasov tensors and nonsingular \({\mathcal {H}}\)-tensors

DOI10.1007/s40314-018-0607-5zbMath1400.15025OpenAlexW2790464058WikidataQ114219366 ScholiaQ114219366MaRDI QIDQ1993480

Junli Zhang, Changjiang Bu

Publication date: 5 November 2018

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

Full work available at URL: https://doi.org/10.1007/s40314-018-0607-5

zbMATH Keywords

diagonally dominant tensorsNekrasov tensors

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Iterative numerical methods for linear systems (65F10) Multilinear algebra, tensor calculus (15A69)

Related Items (6)

Accurate determinants of some classes of matrices ⋮ Note on subdirect sums of \(\{i_0\}\)-Nekrasov matrices ⋮ An infinity norm bound for the inverse of strong \(\mathrm{SDD}_1\) matrices with applications ⋮ Sufficient conditions for judging quasi-strictly diagonally dominant tensors ⋮ Some results on Brauer-type and Brualdi-type eigenvalue inclusion sets for tensors ⋮ \textit{QN}-tensor and tensor complementarity problem

Cites Work

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• Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime
• Max-norm bounds for the inverse of \(S\)-Nekrasov matrices
• Strictly nonnegative tensors and nonnegative tensor partition
• Criterions for identifying \(\mathcal H\)-tensors
• An always convergent algorithm for the largest eigenvalue of an irreducible nonnegative tensor
• Some characterizations of Nekrasov and \(S\)-Nekrasov matrices
• Bounds for the determinants of Nekrasov and \(S\)-Nekrasov matrices
• Perron-Frobenius theorem for nonnegative tensors
• A new subclass of \(H\)-matrices
• Criterions for the positive definiteness of real supersymmetric tensors
• Generalizations of Nekrasov matrices and applications
• Some properties of strong \(\mathcal{H}\)-tensors and general \(\mathcal{H}\)-tensors
• Nonsingular \(H\)-tensor and its criteria
• Infinity norm bounds for the inverse of Nekrasov matrices
• A general product of tensors with applications
• \(M\)-tensors and nonsingular \(M\)-tensors
• Eigenvalues of a real supersymmetric tensor
• Bounds for determinants
• $M$-Tensors and Some Applications
• Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor
• An Eigenvalue Method for Testing Positive Definiteness of a Multivariate Form
• Tensor Analysis
• A New Iterative Criterion for H‐Matrices
• Higher Order Positive Semidefinite Diffusion Tensor Imaging
• Some characterizations of \(M\)-tensors via digraphs

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