Title :
Nonlinear computational methods of quadratic matrix equations
Author :
Lin, Xiao-Lin ; Li, Li
Author_Institution :
Fac. of Sci., Shaanxi Univ. Of Sci. & Technol., Xi´´an, China
Abstract :
Motivated by the multi-splitting methods, we present two nonlinear multi-splitting algorithms for solving the quadratic matrix equation (QME). Under suitable conditions we then respectively prove the local linear and quadratic convergence of the two algorithms. Some numerical results are given to show the feasibility and effectiveness of our algorithms.
Keywords :
convergence of numerical methods; matrix algebra; nonlinear equations; linear convergence; nonlinear computational methods; nonlinear multisplitting algorithms; quadratic convergence; quadratic matrix equations; Convergence; Equations; Newton method; Quadratic matrix equation; integral mean-value theorem; parallel multi-splitting;
Conference_Titel :
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4244-7235-2
Electronic_ISBN :
978-1-4244-7237-6
DOI :
10.1109/ICCASM.2010.5620555
