On Complex Rotated Block Triangular Preconditioned Iteration Methods for a Class of Block Two-by-Two Complex Linear Systems

Key Points

• The application of complex rotating block triangular preconditioners increases the efficiency of Krylov subspace methods, leading to faster convergence.
• In comparing performance, these preconditioners show competitive results against the traditional BAS preconditioner—offering potentially better outcomes in similar settings.
• Investigation into the spectrum characteristics of preconditioned matrices reveals significant advantages for optimal control problems involving periodic eddy current equations.
• The study emphasizes that implementing these methods may lead to enhanced computational efficiency, particularly in complex linear systems.

Abstract