Lanczos-like algorithm for the time-ordered exponential: the \(\ast\)-inverse problem.

DOI10.21136/AM.2020.0342-19WikidataQ115497886 ScholiaQ115497886MaRDI QIDQ2216237

Pierre-Louis Giscard, Stefano Pozza

Publication date: 15 December 2020

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.05143

zbMATH Keywords

fundamental solutionLanczos algorithmmatrix differential equationtime-ordered exponentialtime-ordering

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Algorithms for approximation of functions (65D15) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items

A Lanczos-type procedure for tensors ⋮ Exact solutions for the time-evolution of quantum spin systems under arbitrary waveforms using algebraic graph theory ⋮ A Lanczos-like method for non-autonomous linear ordinary differential equations ⋮ Tridiagonalization of systems of coupled linear differential equations with variable coefficients by a Lanczos-like method

Cites Work

• Open quantum systems. An introduction.
• Reproducing kernels of Sobolev spaces via a Green kernel approach with differential operators and boundary operators
• High order structure preserving explicit methods for solving linear-quadratic optimal control problems
• Riccati matrix differential equations and non-oscillation criteria for associated linear differential systems
• Krylov Subspace Methods
• Model Reduction and Approximation
• Taylor polynomial solutions of Volterra integral equations
• An exact formulation of the time-ordered exponential using path-sums
• Pseudo-differential operator associated to the radial basis functions under tension.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Lanczos-like algorithm for the time-ordered exponential: the \(\ast\)-inverse problem.