\(B_\pi^R\)-tensors

DOI10.1016/j.laa.2019.07.015zbMath1420.15018OpenAlexW4214908482WikidataQ114152307 ScholiaQ114152307MaRDI QIDQ2273877

Héctor Orera, Juan Manuel Peña

Publication date: 18 September 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2019.07.015

zbMATH Keywords

hypermatrixpositive definite tensor\(P\)-tensor\(B_\pi^R\)-tensor\(B\)-tensor

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Multilinear algebra, tensor calculus (15A69)

Related Items (2)

On C-tensor and its application to eigenvalue localization ⋮ Error bounds for linear complementarity problems of \(B_{\pi}^R\)-matrices

Cites Work

• Some remarks on \(P\), \(P_0\), \(B\) and \(B_0\) tensors
• Double \(B\)-tensors and quasi-double \(B\)-tensors
• \(MB\)-tensors and \(MB_0\)-tensors
• Error bounds for linear complementarity problems for \(B\)-matrices
• \(\mathrm{P}\)-tensors, \(\mathrm{P}_0\)-tensors, and their applications
• Some classes of nonsingular matrices and applications
• An even order symmetric \(B\) tensor is positive definite
• Properties of some classes of structured tensors
• \(M\)-tensors and nonsingular \(M\)-tensors
• A Class of P-Matrices with Applications to the Localization of the Eigenvalues of a Real Matrix
• $M$-Tensors and Some Applications
• Tensor Analysis

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