A Lanczos-type procedure for tensors
From MaRDI portal
Publication:2679666
DOI10.1007/s11075-022-01351-6OpenAlexW4281632889WikidataQ114224263 ScholiaQ114224263MaRDI QIDQ2679666
Stefano Pozza, Niel Van Buggenhout, Stefano Cipolla, Michela Redivo-Zaglia
Publication date: 23 January 2023
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.03730
time-ordered exponential\( \star \)-Lanczos algorithmLanczos-type procedures for tensorsnon-Hermitian Lanczos algorithm
Multilinear algebra, tensor calculus (15A69) Numerical computation of matrix exponential and similar matrix functions (65F60)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Tensor-Train Decomposition
- TT-cross approximation for multidimensional arrays
- A breakdown-free Lanczos type algorithm for solving linear systems
- The Gauss quadrature for general linear functionals, Lanczos algorithm, and minimal partial realization
- Avoiding breakdown and near-breakdown in Lanczos type algorithms
- Heun functions and some of their applications in physics
- On the method of Neumann series for highly oscillatory equations
- On the global error of discretization methods for highly-oscillatory ordinary differential equations
- Formal orthogonal polynomials revisited. Applications
- Exponential integrators for quantum-classical molecular dynamics
- Tridiagonalization of systems of coupled linear differential equations with variable coefficients by a Lanczos-like method
- Lanczos-like algorithm for the time-ordered exponential: the \(\ast\)-inverse problem.
- High order structure preserving explicit methods for solving linear-quadratic optimal control problems
- Block Krylov subspace methods for functions of matrices
- RCMS: Right correction Magnus series approach for oscillatory ODEs
- Riccati matrix differential equations and non-oscillation criteria for associated linear differential systems
- Tensor-Krylov method for computing eigenvalues of parameter-dependent matrices
- A Concise Introduction to Geometric Numerical Integration
- A Look-Ahead Lanczos Algorithm for Unsymmetric Matrices
- A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms, Part I
- On the solution of linear differential equations in Lie groups
- A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms. Part II
- Model Reduction and Approximation
- Gauss quadrature for quasi-definite linear functionals
- Krylov subspace methods to solve a class of tensor equations via the Einstein product
- An exact formulation of the time-ordered exponential using path-sums
- Numerical Integrators for Highly Oscillatory Hamiltonian Systems: A Review
- An Implementation of the Look-Ahead Lanczos Algorithm for Non-Hermitian Matrices
- Efficient methods for linear Schrödinger equation in the semiclassical regime with time-dependent potential
- Divergence of Perturbation Theory in Quantum Electrodynamics
- On the exponential solution of differential equations for a linear operator