H-matrix (iterative method)

In mathematics, an H-matrix is a matrix whose comparison matrix is an M-matrix.

Definition: Let A = (aij) be a n × n complex matrix.

Then comparison matrix M(A) of complex matrix A is defined as M(A) = αij where αij = −|Aij| for all i ≠ j, 1 ≤ i,j ≤ n and αij = |Aij| for all i = j, 1 ≤ i,j ≤ n. If M(A) is a M-matrix, A is a H-matrix.

Invertible H-matrix guarantees convergence of Gauss–Seidel iterative methods.

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