Some iterative methods for solving operator equations by using fusion frames

In this paper, two iterative methods are constructed to solve the operator equation Lu = f where L : H ? is a bounded, invertible and self-adjoint linear on separable Hilbert space H. By using concept of fusion frames, which generalization frame theory, we design some algorithms based Chebyshev polynomials adaptive one according conjugate gradient method, accordingly, then investigate their convergence via correspond rates.