Some preconditioning iterative algorithms for non-Hermitian linear equations

Non-Hermitian linear equations have extensive application in scientific and engineering calculations and are expected to be solved with high efficiency. To accelerate the convergence rate of original algorithms, a preconditioning technique was developed and applied to some iterative methods chosen to solve the non-Hermitian linear equations and complex linear systems with multiple right-hand sides. Several numerical experiments show that the preconditioned iterative methods are superior to the original methods in terms of both the convergence rate and the number of iterations. In addition, the preconditioned generalized conjugate A- orthogonal residual squared method (GCORS2) has better convergent behavior and stability than other preconditioned methods.