DeepAI AI Chat
Log In Sign Up

Minimal residual Hermitian and skew-Hermitian splitting iteration method for the continuous Sylvester equation

by   Zeinab Bahramizadeh, et al.
Ferdowsi University of Mashhad

By applying the minimal residual technique to the Hermitian and skew-Hermitian (HSS) iteration scheme, we introduce a non-stationary iteration method named minimal residual Hermitian and skew-Hermitian (MRHSS) iteration method to solve the continuous Sylvester equation. Numerical results verify the effectiveness and robustness of the MRHSS iteration method versus the HSS method for the continuous Sylvester equation. Moreover, by numerical computation, we show that the MRHSS splitting can be used as a splitting preconditioner and induce accurate, robust and effective preconditioned Krylov subspace iteration methods for solving the continuous Sylvester equation.


page 1

page 2

page 3

page 4


A class of multiplicative splitting iterations for solving the continuous Sylvester equation

For solving the continuous Sylvester equation, a class of the multiplica...

An adaptive discontinuous Petrov-Galerkin method for the Grad-Shafranov equation

In this work, we propose and develop an arbitrary-order adaptive discont...

Variational Iteration Method for Image Restoration

The famous Perona-Malik (P-M) equation which was at first introduced for...

HSS(0): an Improved Hermitian/Skew-Hermitian Splitting Iteration

We propose an improved version of the Hermitian/skew-Hermitian splitting...

Discrete and Continuous Deep Residual Learning Over Graphs

In this paper we propose the use of continuous residual modules for grap...

Termination of Picard Iteration for Coupled Neutronics/Thermal-Hydraulics Simulations

In this paper, we consider the coupled N/TH problem, in which the termin...