Stability of block LU factorization for block tridiagonal matrices


It is showed that if A is I-block diagonally dominant (II-block diagonally dominant), then the reduced matrix S preserves the same property. We also give a sufficient condition for the reduced matrix S also to be a block H-matrix when A is a block H-matrix, and some properties on the comparison matrices μI(A), μII(A), μI(L), and μI(U) are obtained. Finally… (More)
DOI: 10.1016/j.camwa.2007.10.034