  The Kaczmarz method is a popular iterative method for solving consistent,
overdetermined linear system such as medical imaging in computerized
tomography. The Kaczmarz's iteration repeatedly scans all equations in order,
which leads to lower computational efficiency especially in solving a large
scale problem. The standard form of Kaczmarz-Tanabe's iteration proposed
recently effectively overcomes the computational redundancy problem of the
Kaczmarz method. In this paper, we introduce relaxation parameters ${\bf
u}=(\mu_1,\ldots,\mu_m)$ into the Kaczmarz-Tanabe method based on the
relaxation Kaczmarz method, and consider the standard form and convergence of
this combination. Moreover, we analyze and prove the sufficient conditions for
convergence of the relaxation Kaczmarz-Tanabe method, i.e., $\mu_i\in (0,2)$.
Numerical experiments show the convergence characteristics of the relaxation
Kaczmarz-Tanabe method corresponding to these parameters.
