An iterative test for H-matrix

For many applications it is very useful to know whether a matrix is an H-matrix or not. Harada et al. proposed simple algorithm which is produced iteratively a positive diagonal matrix D in Bishan Li et al. (Linear Algebra Appl. 271 (1998) 179–190). This method is useful when matrix A is an H-matrix, and when A is not an H-matrix, a wasteful computation is necessary. In this paper, to conquer this drawback, we propose a new algorithm.