h matrix iterative method

    H-matrix (iterative method) GudangMovies21 Rebahinxxi LK21

    In mathematics, an H-matrix is a matrix whose comparison matrix is an M-matrix. It is useful in iterative methods.
    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.


    See also


    Hurwitz-stable matrix
    P-matrix
    Perron–Frobenius theorem
    Z-matrix
    L-matrix
    M-matrix
    Comparison matrix


    References

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