A nonnegativity preserving algorithm for multilinear systems with nonsingular \(\mathcal{M}\)-tensors

DOI10.1007/s11075-020-01008-2zbMath1473.65053arXiv1811.09917OpenAlexW3088555464WikidataQ114224314 ScholiaQ114224314MaRDI QIDQ2035524

Hongjin He, Chen Ling, Guanglu Zhou, Xue-Li Bai

Publication date: 24 June 2021

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.09917

zbMATH Keywords

nonnegative solutionNewton-type methodmultilinear systemsnonsingular \(\mathcal{M}\)-tensor

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69) Numerical linear algebra (65F99)

Related Items (7)

Iterative refinement method by higher-order singular value decomposition for solving multi-linear systems ⋮ Computing the extremal nonnegative solutions of the \(M\)-tensor equation with a nonnegative right-side vector ⋮ Slice tensor splitting method for solving tensor equation ⋮ A new preconditioned AOR-type method for \(\mathcal{M}\)-tensor equation ⋮ Newton's method for M-tensor equations ⋮ A homotopy method for solving multilinear systems with strong completely positive tensors ⋮ A general preconditioner accelerated SOR-type iterative method for multi-linear systems with \(\mathcal{Z}\)-tensors

Uses Software

• TensorToolbox

Cites Work

• Unnamed Item
• The sparsest solutions to \(Z\)-tensor complementarity problems
• Further study on tensor absolute value equations
• Alternating projection method for a class of tensor equations
• Comparison results for splitting iterations for solving multi-linear systems
• The tensor splitting with application to solve multi-linear systems
• A Levenberg-Marquardt method for solving semi-symmetric tensor equations
• Tensor methods for solving symmetric \({\mathcal {M}}\)-tensor systems
• Alternating iterative methods for solving tensor equations with applications
• A globally and quadratically convergent algorithm for solving multilinear systems with \(\mathcal {M}\)-tensors
• Tensor absolute value equations
• Existence and uniqueness of positive solution for \(\mathcal{H}^+\)-tensor equations
• Generalized tensor equations with leading structured tensors
• Solving sparse non-negative tensor equations: algorithms and applications
• Solving multi-linear systems with \(\mathcal {M}\)-tensors
• A homotopy method for solving multilinear systems with M-tensors
• \(M\)-tensors and nonsingular \(M\)-tensors
• Eigenvalues of a real supersymmetric tensor
• Solving Multilinear Systems via Tensor Inversion
• $M$-Tensors and Some Applications
• Linear systems with a canonical polyadic decomposition constrained solution: Algorithms and applications
• Splitting methods for tensor equations
• Finding a Nonnegative Solution to an M-Tensor Equation
• Tensor Analysis
• A projection method to solve linear systems in tensor format

This page was built for publication: A nonnegativity preserving algorithm for multilinear systems with nonsingular \(\mathcal{M}\)-tensors