Weak block diagonally dominant matrices, weak block H-matrix and their applications Original Research Article

Here we introduce more general definitions of weak block diagonally dominant matrix and weak block H-matrix which permit block triangular factorizations and extend the theory to the block diagonally dominant matrices and the block H-matrices. Furthermore, by the theory of weak block H-matrix, we prove that any partitioned block form of a pointwise H-matrix has a block triangular factorization.