On the use of exponential time integration methods in atmospheric models

C Clancy, JA Pudykiewicz - Tellus A: Dynamic Meteorology and …, 2013 - Taylor & Francis
Exponential integration methods offer a highly accurate approach to the time integration of
large systems of differential equations. In recent years, they have attracted increased …

Left-invariant riemannian geodesics on spatial transformation groups

E Zacur, M Bossa, S Olmos - SIAM Journal on Imaging Sciences, 2014 - SIAM
Spatial transformations are map**s between locations of a d-dimensional space and are
commonly used in computer vision and image analysis. Many of the spatial transformation …

On solution and perturbation estimates for the nonlinear matrix equation  

CS Chacha - Journal of the Egyptian Mathematical Society, 2022 - Springer
This work incorporates an efficient inversion free iterative scheme into Newton's method to
solve Newton's step regardless of the singularity of the Fr e´ chet derivative. The proposed …

Multivariate Tensor-Based Morphometry with a Right-Invariant Riemannian Distance on GL+(n)

E Zacur, M Bossa, S Olmos - Journal of mathematical imaging and vision, 2014 - Springer
Tensor-based morphometry (TBM) studies encode the anatomical information in spatial
deformations which are locally characterized by Jacobian matrices. Current methods …

On iterative algorithm and perturbation analysis for the nonlinear matrix equation

CS Chacha - Communications on Applied Mathematics and …, 2022 - Springer
In this study, an iterative algorithm is proposed to solve the nonlinear matrix equation X+ A^*
e^ XA= I_ n X+ A∗ e XA= I n. Explicit expressions for mixed and componentwise condition …

On solution and perturbation estimates for the nonlinear matrix equation X− A eXA= I

A Ali - Journal of the Egyptian Mathematical Society, 2022 - joems.journals.ekb.eg
This work incorporates an efficient inversion free iterative scheme into Newton'smethod to
solve Newton's step regardless of the singularity of the Fr´ echet derivative. The proposed …

[PDF][PDF] Darstellung und Berechnung von Matrixfunktionen

F Schäfer - 2017 - netlibrary.aau.at
Die Methoden der Mathematik werden vielfach eingesetzt, um komplexe Vorgänge
physikalischer, chemischer, biologischer oder volkswirtschaftlicher Natur zu modellieren …