Convergence of the Arnoldi process when applied to the Picard-Lindelöf iteration operator
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چکیده
منابع مشابه
the investigation of research articles in applied linguistics: convergence and divergence in iranian elt context
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Convergence of the Isometric Arnoldi Process
It is well known that the performance of eigenvalue algorithms such as the Lanczos and the Arnoldi method depends on the distribution of eigenvalues. Under fairly general assumptions we characterize the region of good convergence for the Isometric Arnoldi Process. We also determine bounds for the rate of convergence and we prove sharpness of these bounds. The distribution of isometric Ritz valu...
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Estimating the Local Radius of Convergence for Picard Iteration
The well known Ostrowski theorem [1] gives a sufficient condition (the spectral radius of the Jacobian of the iteration mapping in the fixed point to be less than 1) for the local convergence of Picard iteration. “However, no estimate for the size of an attraction ball is known” [2] (2009). The problem of estimating the local radius of convergence for different iterative methods was considered ...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1997
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(97)00195-7