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Equality Conditions for Matrix Kantorovich-Type Inequalities

✍ Scribed by S. Liu; W. Polasek; H. Neudecker


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
152 KB
Volume
212
Category
Article
ISSN
0022-247X

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✦ Synopsis


we present sufficient and necessary conditions SNECs under which equalities occur in those corresponding matrix Kantorovich-type inequalities. We also present several relevant inequalities.


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New Kantorovich-Type Conditions for Hall
✍ J. A. Ezquerro; M. A. HernΓ‘ndez πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons βš– 130 KB

Two new semilocal convergence results of Newton-Kantorovich type are presented for the Halley method, where the usual convergence conditions, which appears in the literature, are relaxed. In one of them, it is supposed that the second derivative F of a nonlinear operator F satisfies F (x0) ≀ Ξ± inste