Simple Criteria For (Block) H-Matrices And Convergence For Iterative Method

This paper mainly includes two parts:1. Simple Criteria for (block)H-Matrices: we present sufficient conditionsand sufficient necessary conditions, which generalize and improve the previous results. For example:In 2.1, we give simple criteria for block H-matrix. If there is an [0,1],then A is a H-matrix which is the extension of the paper[5].In 2.3 we present two sufficient conditions for H-matrix. For example,,,where 。2.Convergence of the iterative method: firstly I give a new upper bound for the spectral radius of iterative matrix , where is a double strictly diagonal dominant matrix. It is a wider matrix than the strictly diagonal dominant matrix. Secondly, we apply the results in the famous iterations, such as Jacobi,Gauss-Seidel,JOR,SOR,MSOR, etc. I obtain more accurate results such as, the convergence for JOR. In 3.4, I analyze the convergence of SOR.In 3.5, I study the convergence of MSOR. },,,}...