TITLE:
The Conditions for the Convergence of Power Scaled Matrices and Applications
AUTHORS:
Xuzhou Chen, Robert E. Hartwig
KEYWORDS:
Convergence, Iterative Method, Triangular matrix, Gram-Schmidt
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.1 No.2,
June
30,
2011
ABSTRACT: For an invertible diagonal matrix D , the convergence of the power scaled matrix sequence D-NAN is investigated. As a special case, necessary and sufficient conditions are given for the convergence of D-NTN , where T is triangular. These conditions involve both the spectrum as well as the diagraph of the matrix .The results are then used to privide a new proof for the convergence of subspace iteration.