منابع مشابه
A note on Inverse Iteration
Inverse iteration, if applied to a symmetric positive definite matrix, is shown to generate a sequence of iterates with monotonously decreasing Rayleigh quotients. We present sharp bounds from above and from below which highlight inverse iteration as a descent scheme for the Rayleigh quotient. Such estimates provide the background for the analysis of the behavior of the Rayleigh quotient in cer...
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An improved variational iteration method for solving nonlinear equations arising in heat transfer is conceived. The main advantage of the present method is that it can enlarge the convergence region of iterative approximate solutions. Also, the present method can be used to solve strong nonlinear problems. Comparison of the result obtained using this method with other existing methods reveals t...
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We introduce a geometric condition of Bloch type which guarantees that a subset of a bounded convex domain in several complex variables is degenerate with respect to every iterated function system. Furthermore we discuss the relations of such a Bloch type condition with the analogous hyperbolic Lipschitz condition.
متن کاملA note on the pivoted symmetric LR iteration
We prove that the diagonally pivoted symmetric LR algorithm on a positive definite matrix is globally convergent. The “symmetric” or “Cholesky” LR iteration is a fairly old method of eigenreduction of a positive definite Hermitian matrix H. It reads H = H0 = R∗ 0R0 H1 = R0R 0 = R ∗ 1R1 .. (1) This process is linearly convergent [6], [5]. Recently, its singular value ’implicit’ equivalent R∗ k =...
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Sufflcient conditions for the existence of the itération (star) of an infinité matrix over an arbitrary semiring are presented. Résumé. On établit des conditions suffisantes pour l'existence de Vitération d'une matrice infinie sur un demi-anneau arbitraire.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2006
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2005.03.089