An iterative test for H-matrix

摘要

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