Stability of block LU factorization for block tridiagonal matrices ?
It is showed that if A A is I-block diagonally dominant (II-block diagonally dominant), then the reduced matrix S S preserves the same property. We also give a sufficient condition for the reduced matrix S S also to be a block H H -matrix when A A is a block H H -matrix, and some properties on the comparison matrices ?I(A(k)) ? I ( A ( k ) ) , ?II(A(k)) ? I I ( A ( k ) ) , ?I(L) ? I ( L ) , and ?I(U) ? I ( U ) are obtained. Finally, error analysis of block LU factorization for block tridiagonal matrix is presented.
stability block lu factorization block tridiagonal matrix block h h -matrices h h h h h i-block diagonally dominant matrices ii-block diagonally dominant matrices