Tensor Bi-CR Methods for Solutions of High Order Tensor Equation Accompanied by Einstein Product
DOI10.4208/nmtma.OA-2021-0057zbMath1499.15049OpenAlexW3200382726MaRDI QIDQ5864760
Publication date: 8 June 2022
Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/nmtma.oa-2021-0057
Einstein productHestenes-Stiefel (HS) type of bi-conjugate residual (bi-CR) algorithmhigh order tensor equationLanczos-type of bi-conjugate residual (bi-CR) algorithm
Numerical computation of solutions to systems of equations (65H10) Matrix equations and identities (15A24) Iterative numerical methods for linear systems (65F10) Multilinear algebra, tensor calculus (15A69)
Cites Work
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- Tensor Decompositions and Applications
- On solutions of the matrix equation \(AX=B\) with respect to semi-tensor product
- Schur-decomposition for 3D matrix equations and its application in solving radiative discrete ordinates equations discretized by Chebyshev collocation spectral method
- A mixed collocation-finite difference method for 3D microscopic heat transport problems
- D-eigenvalues of diffusion kurtosis tensors
- An extension of the conjugate residual method to nonsymmetric linear systems
- On the squared unsymmetric Lanczos method
- Alternating projection method for a class of tensor equations
- Tensor methods for solving symmetric \({\mathcal {M}}\)-tensor systems
- Tensor eigenvalues and their applications
- A globally and quadratically convergent algorithm for solving multilinear systems with \(\mathcal {M}\)-tensors
- Existence and computation of low Kronecker-rank approximations for large linear systems of tensor product structure
- Krylov-type methods for tensor computations.I
- Greedy low-rank approximation in Tucker format of solutions of tensor linear systems
- Interval tensors and their application in solving multi-linear systems of equations
- Numerical study on Moore-Penrose inverse of tensors via Einstein product
- Conjugate gradient-like methods for solving general tensor equation with Einstein product
- Extending BiCG and BiCR methods to solve the Stein tensor equation
- Neural network approach for solving nonsingular multi-linear tensor systems
- Perturbation theory for Moore-Penrose inverse of tensor via Einstein product
- Solving tensor E-eigenvalue problem faster
- A projection method and Kronecker product preconditioner for solving Sylvester tensor equations
- Solving multi-linear systems with \(\mathcal {M}\)-tensors
- A homotopy method for solving multilinear systems with M-tensors
- Randomized algorithms for the approximations of Tucker and the tensor train decompositions
- Krylov solvers for linear algebraic systems.
- Moore–Penrose inverse of tensors via Einstein product
- On the Krylov subspace methods based on tensor format for positive definite Sylvester tensor equations
- Solving Multilinear Systems via Tensor Inversion
- Wedderburn Rank Reduction and Krylov Subspace Method for Tensor Approximation. Part 1: Tucker Case
- Alternating Minimal Energy Methods for Linear Systems in Higher Dimensions
- Convergence of a transition probability tensor of a higher-order Markov chain to the stationary probability vector
- Krylov Subspace Methods for Linear Systems with Tensor Product Structure
- Block s-step Krylov iterative methods
- Variants of Alternating Least Squares Tensor Completion in the Tensor Train Format
- Exact solutions for the nonlinear Klein–Gordon and Liouville equations in four-dimensional Euclidean space
- s-Step Iterative Methods for (Non)Symmetric (In)Definite Linear Systems
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- GPBi-CG: Generalized Product-type Methods Based on Bi-CG for Solving Nonsymmetric Linear Systems
- Sensitivity analysis of the Lyapunov tensor equation
- Tensor inversion and its application to the tensor equations with Einstein product
- Iterative Krylov Methods for Large Linear Systems
- On HSS-Based Iteration Methods for Two Classes of Tensor Equations
- Solving coupled tensor equations via higher order LSQR methods
- Fourth-order tensor Riccati equations with the Einstein product
- The Computation of Low Multilinear Rank Approximations of Tensors via Power Scheme and Random Projection
- An iterative algorithm to solve the generalized Sylvester tensor equations
- M-Eigenvalues of the Riemann Curvature Tensor of Conformally Flat Manifolds
- The Generalized Order Tensor Complementarity Problems
- An optimal preconditioner for tensor equations involving Einstein product
- On Nonnegative Solution of Multi-Linear System with Strong $\mathcal{M}_z$-Tensors
- Modified gradient dynamic approach to the tensor complementarity problem
- Tensor Analysis
- Iterative algorithms for solving some tensor equations
- A projection method to solve linear systems in tensor format
- Implementation of different computational variations of biconjugate residual methods
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