A globally and quadratically convergent algorithm for solving multilinear systems with \(\mathcal {M}\)-tensors
DOI10.1007/s10915-018-0689-7zbMath1397.65047OpenAlexW2793479357MaRDI QIDQ1785511
Chen Ling, Liqun Qi, Hongjin He, Guanglu Zhou
Publication date: 28 September 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-018-0689-7
Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Eigenvalues, singular values, and eigenvectors (15A18) Iterative numerical methods for linear systems (65F10)
Related Items (31)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- On recurring theorems on diagonal dominance
- Tensor methods for solving symmetric \({\mathcal {M}}\)-tensor systems
- Preconditioning techniques for large linear systems: A survey
- A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
- 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
- A survey on the spectral theory of nonnegative tensors
- Krylov Subspace Methods for Linear Systems with Tensor Product Structure
- Exact solutions for the nonlinear Klein–Gordon and Liouville equations in four-dimensional Euclidean space
- Beyond Monotonicity in Regularization Methods for Nonlinear Complementarity Problems
- A Regularized Smoothing Newton Method for Box Constrained Variational Inequality Problems with P0-Functions
- Splitting methods for tensor equations
- A semidefinite program approach for computing the maximum eigenvalue of a class of structured tensors and its applications in hypergraphs and copositivity test
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Tensor Analysis
This page was built for publication: A globally and quadratically convergent algorithm for solving multilinear systems with \(\mathcal {M}\)-tensors