Stability Of Block Lu Factorization For Block Tridiagonal Matrices

摘要

It is showed that if A is I-block diagonally dominant (H-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 μ_Ⅰ(A~((k))), μ_Ⅱ(A~((k))), μ_Ⅰ(L), and μ_Ⅰ(U) are obtained. Finally, error analysis of block LU factorization for block tridiagonal matrix is presented.