A structure-preserving curve for symplectic pairs and its applications
type: Item
instance of: scholarly article
zbMATH Open document ID: 1253.65061
DOI: 10.1137/110843137
author: Yueh-Cheng Kuo
author: Shih-Feng Shieh
published in: SIAM Journal on Matrix Analysis and Applications
publication date: 2012-09-12T00:00:00Z
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 6081315
zbMATH Keywords: nonlinear matrix equation
zbMATH Keywords: structure-preserving curve
zbMATH Keywords: symplectic pair
zbMATH Keywords: fixed-point iteration
zbMATH Keywords: structure-preserving doubling algorithm
zbMATH Keywords: Newton's method
zbMATH Keywords: Sherman-Morrison-Woodbury formula
zbMATH Keywords: MATLAB
zbMATH Keywords: numerical results
describes a project that uses: Matlab
MaRDI profile type: Publication
OpenAlex ID: W1966533816
title: A structure-preserving curve for symplectic pairs and its applications
review text: The authors study numerical methods for the maximal solution of some nonlinear nonhomogeneous matrix equation with right side a Hermitian positive definite matrix. For this purpose, they construct a smooth curve parameterized by \(t\) not small of 1. In the theoretical section they investigate this curve. In the application section, they measure the convergence rates of those numerical methods. Numerical results using MATLAB R2010 are presented.
reviewed by: Grozio Stanilov
description: scientific article; zbMATH DE number 6081315