A homotopy method for solving multilinear systems with strong completely positive tensors
From MaRDI portal
Publication:2060903
DOI10.1016/j.aml.2021.107636zbMath1489.65063OpenAlexW3197088300WikidataQ114210551 ScholiaQ114210551MaRDI QIDQ2060903
Publication date: 13 December 2021
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2021.107636
Related Items (4)
A fast sketching-based algorithm for rank-\((L,L,1)\) block term decomposition ⋮ Existence and uniqueness of positive solution for multilinear systems with generalized strong \(\mathcal{M}\)-tensor ⋮ A homotopy method for multikernel-based approximation ⋮ Further study on existence and uniqueness of positive solution for tensor equations
Cites Work
- Unnamed Item
- Strictly nonnegative tensors and nonnegative tensor partition
- The sparsest solutions to \(Z\)-tensor complementarity problems
- Further results on Cauchy tensors and Hankel tensors
- Further study on tensor absolute value equations
- A smoothing-type algorithm for solving system of inequalities
- Global uniqueness and solvability of tensor variational inequalities
- 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
- A globally and quadratically convergent algorithm for solving multilinear systems with \(\mathcal {M}\)-tensors
- Sub-quadratic convergence of a smoothing Newton algorithm for the \(P_0\)- and monotone LCP
- On determinants and eigenvalue theory of tensors
- A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
- Tensor absolute value equations
- A nonnegativity preserving algorithm for multilinear systems with nonsingular \(\mathcal{M}\)-tensors
- Preconditioned tensor splitting iterations method for solving multi-linear systems
- 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
- Completely Positive Tensors: Properties, Easily Checkable Subclasses, and Tractable Relaxations
- A survey on the spectral theory of nonnegative tensors
- Splitting methods for tensor equations
- Finding a Nonnegative Solution to an M-Tensor Equation
- Nonnegative Tensor Factorization, Completely Positive Tensors, and a Hierarchical Elimination Algorithm
This page was built for publication: A homotopy method for solving multilinear systems with strong completely positive tensors