Preconditioning of complex symmetric linear systems with applications in optical tomography

摘要: We consider the numerical solution of linear systems form (A+i@kB)x=y, which arise in many applications, e.g., time-harmonic acoustics, electromagnetics, or radiative transfer. propose and analyze a class preconditioners leading to complex symmetric iteration operators investigate convergence corresponding preconditioned iterative methods. Under mild assumptions on A B, we establish parameter dimension independent convergence. The proposed methods are then applied even-parity formulations For this application, verify all required for our analysis. performance iterations is demonstrated by tests supporting theoretical results.