Parameterized VPMHSS iteration method and its minimum residual variant for a class of complex symmetric indefinite linear systems

Key Points

• The parameterized VPMHSS method achieves rapid convergence in solving indefinite linear systems, improving efficiency.
• Key evidence shows a minimum residual variant significantly enhances accuracy and reduces computational effort.
• Utilizing convergence analysis, the method provides a robust framework for tackling challenging mathematical problems in a range of applications.
• This work may enable advances in numerical linear algebra, but further validation in diverse scenarios is needed.