Ali Jamalian - Department of Computer Science, University of Guilan, P.O.Box ۴۱۳۳۵-۱۹۱۴۱, Rasht,Iran
Hossein Aminikhah - Department of Applied Mathematics and Department of Computer Science, University of Guilan, P.O.Box ۴۱۳۳۵-۱۹۱۴۱, Rasht, Iran Center of Excellence for Mathematical Modelling, Optimization and Combinational Computing (MMOCC), University of Guilan,

This paper presents a new powerful iterative method for solving large and sparse linear systems. Using the idea of theJaya method to the restarted generalized minimum residual (GMRES) method, we propose the Jaya-GMRES method.The JayaGMRES is an efficient solver, being based mainly on matrix-vector multiplications. Numerical results show that the Jaya-GMRES method has found more accurate solutions and converges much regular than the GMRES method.

GMRES method, Jaya optimization algorithm, Linear systems, Iterative method, Non-symmetric matrix