Comparison Theorems for Single and Double Splittings of Matrices
Cui-Xia Li, Cui Qun-fa, Shi-Liang Wu · Journal of Applied Mathematics · 2013
Some comparison theorems for the spectral radius of double splittings of different matrices under suitable conditions are presented, which are superior to the corresponding results in the recent paper by Miao and Zheng (2009). Some comparison theorems between the spectral radius of single and double splittings of matrices are established and are applied to the Jacobi and Gauss-Seidel double SOR method.