Douglas-Rachford iterations for the HSS splitting

Key Points

• The aim is to investigate a variant of the HSS Iteration method using Douglas-Rachford iterations and its convergence properties.
• Study a variation of the HSS Iteration method using Douglas-Rachford.
• Provide convergence criteria for positive definite matrices.
• Illustrate numerical differences with examples.
• Establish convergence criteria similar to HSS for the Douglas-Rachford method.
• Present numerical examples demonstrating differences between the two methods.

Abstract