An SDP relaxation method for Perron pairs of a nonnegative tensor (Q2113709)

scientific article; zbMATH DE number 7488775

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English	An SDP relaxation method for Perron pairs of a nonnegative tensor	scientific article; zbMATH DE number 7488775

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instance of

scholarly article

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title

An SDP relaxation method for Perron pairs of a nonnegative tensor (English)

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Applied Mathematics and Computation

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publication date

14 March 2022

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zbMATH Keywords

nonnegative tensor

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Perron eigenvector

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polynomial optimization

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SDP relaxation

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describes a project that uses

SeDuMi

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.amc.2021.126866

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cites work

Q3943082

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Computing the \(p\)-spectral radii of uniform hypergraphs with applications

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Perron-Frobenius theorem for nonnegative tensors

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Primitivity, the Convergence of the NQZ Method, and the Largest Eigenvalue for Nonnegative Tensors

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On the uniqueness and non-uniqueness of the positive \(\mathcal Z\)-eigenvector for transition probability tensors

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A survey on the spectral theory of nonnegative tensors

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All Real Eigenvalues of Symmetric Tensors

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Tensor absolute value equations

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Multilinear PageRank

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GloptiPoly 3: moments, optimization and semidefinite programming

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Stationary Probability Vectors of Higher-Order Two-Dimensional Symmetric Transition Probability Tensors

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Convergence of a second order Markov chain

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The Laplacian of a uniform hypergraph

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A Necessary and Sufficient Condition for Existence of a Positive Perron Vector

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The \(p\)-spectral radius of \(k\)-partite and \(k\)-chromatic uniform hypergraphs

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Global optimization with polynomials and the problem of moments

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Semidefinite characterization and computation of zero-dimensional real radical ideals

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On the limiting probability distribution of a transition probability tensor

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A Positivity Preserving Inverse Iteration for Finding the Perron Pair of an Irreducible Nonnegative Third Order Tensor

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Newton-noda iteration for finding the Perron pair of a weakly irreducible nonnegative tensor

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Perron-based algorithms for the multilinear PageRank

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Finding the Largest Eigenvalue of a Nonnegative Tensor

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A quadratically convergent algorithm for finding the largest eigenvalue of a nonnegative homogeneous polynomial map

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Certifying convergence of Lasserre's hierarchy via flat truncation

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Real eigenvalues of nonsymmetric tensors

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Eigenvalues of the adjacency tensor on products of hypergraphs

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On spectral hypergraph theory of the adjacency tensor

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Eigenvalues and invariants of tensors

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Estimation and Modelling Repeated Patterns in High Order Markov Chains with the Mixture Transition Distribution Model

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Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones

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Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor

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A Complete Semidefinite Algorithm for Detecting Copositive Matrices and Tensors

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.AMC.2021.126866

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Sitelinks

Mathematics(1 entry)

mardi Publication:2113709