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A dynamically parameterized inversion-free iteration for a system of nonlinear matrix equation

A dynamically parameterized inversion-free iteration for a system of nonlinear matrix equation

Computation of the stabilizing solution pair of a system of nonlinear matrix equations is of great interest in calculating the Green's function of nanoparticles.By noting that each solution of the pair might have various sizes, an inversion-free iteration with dynamical parameters is proposed in this paper.Under proper assumptions the convergence …