Article citationsMore>>

F. L. Bauer, “Das Verfahren der Treppeniteration und verwandte Verfahren zur L?sung Algebraischer Eigen- wertprobleme,” Zeitschrift für Angewandte Mathe- matik und Physik, Vol. 8, No. 3, 1957, pp. 214-235. doi:10.1007/BF01600502

has been cited by the following article:

• 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.