Efficient Computation of the Matrix Exponential by Generalized Polar Decompositions
From MaRDI portal
Publication:5698741
DOI10.1137/S0036142902415936zbMath1084.65040OpenAlexW1970935533MaRDI QIDQ5698741
Antonella Zanna, Arieh Iserles
Publication date: 28 October 2005
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036142902415936
Geometric methods in ordinary differential equations (34A26) Matrix equations and identities (15A24)
Related Items
Preserving geometric properties of the exponential matrix by block Krylov subspace methods, Interpolation on symmetric spaces via the generalized polar decomposition, A Filon-type asymptotic approach to solving highly oscillatory second-order initial value problems, A structure preserving approximation method for Hamiltonian exponential matrices, Matrix exponentiation and the Frank-Kamenetskii equation, Symmetric spaces and Lie triple systems in numerical analysis of differential equations, Explicit volume-preserving splitting methods for linear and quadratic divergence-free vector fields, High-Order Retractions on Matrix Manifolds Using Projected Polynomials, A method for approximation of the exponential map in semidirect product of matrix Lie groups and some applications, New multiplicative perturbation bounds for the generalized polar decomposition, Grassmannian spectral shooting, Recurrence relations and convergence theory of the generalized polar decomposition on Lie groups, Geometric Euler--Maruyama Schemes for Stochastic Differential Equations in SO(n) and SE(n), Dimension of the intersection of a pair of orthogonal groups, Topics in structure-preserving discretization, Adaptive decomposition finite difference methods for solving singular problems -- a review, Numerical evaluation of the Evans function by Magnus integration
