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Euler-like method for the simultaneous inclusion of polynomial zeros with Weierstass' correction

Euler-like method for the simultaneous inclusion of polynomial zeros with Weierstass' correction

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PETKOVIC, Miodrag S., Dejan V. VRANIC, 2001. Euler-like method for the simultaneous inclusion of polynomial zeros with Weierstass' correction. Scientific computing, validated numerics, interval methods. Karlsruhe, Germany, 19. Sep 2000 - 22. Sep 2000. In: KRÄMER, Walter, ed. and others. Scientific computing, validated numerics, interval methods : [Proceedings of SCAN 2000 - The 9th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, and Interval 2000 - The International Conference on Interval Methods in Science and Engineering]. Scientific computing, validated numerics, interval methods. Karlsruhe, Germany, 19. Sep 2000 - 22. Sep 2000. New York:Kluwer, pp. 153-164. ISBN 0-306-46706-2

@inproceedings{Petkovic2001Euler-23255, title={Euler-like method for the simultaneous inclusion of polynomial zeros with Weierstass' correction}, year={2001}, isbn={0-306-46706-2}, address={New York}, publisher={Kluwer}, booktitle={Scientific computing, validated numerics, interval methods : [Proceedings of SCAN 2000 - The 9th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, and Interval 2000 - The International Conference on Interval Methods in Science and Engineering]}, pages={153--164}, editor={Krämer, Walter}, author={Petkovic, Miodrag S. and Vranic, Dejan V.} }

2013-06-26T07:54:43Z Euler-like method for the simultaneous inclusion of polynomial zeros with Weierstass' correction An improved iterative method of Euler's type for the simultaneous inclusion of polynomial zeros is considered. To accelerate the convergence of the basic method of fourth order, Carstensen-Petkovi c's approach [7]using Weierstrass' correction is applied. It is proved that the R-order of convergence of the improved Euler-like method is (asymptotically)2 + V7 = 4.646 or 5, depending of the type of applied inversion of a disk. The proposed algorithm possesses great computational e ciency since the increase of the convergence rate is obtained without additional calculations. Initial conditions which provide the guaranteed convergence of the considered method are also studied. These conditions are<br />computationally veri able, which is of practical importance. eng Vranic, Dejan V. Vranic, Dejan V. 2013-06-26T07:54:43Z Petkovic, Miodrag S. Scientific computing, validated numerics, interval methods : [Proceedings of SCAN 2000 - The 9th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, and Interval 2000 - The International Conference on Interval Methods in Science and Engineering, held 19 - 22 September 2000, in Karlsruhe, Germany] / ed. by Walter Krämer ... . - New York : Kluwer, 2001. - S. 153-164. - ISBN 0-306-46706-2 deposit-license 2001 Petkovic, Miodrag S.

Dateiabrufe seit 01.10.2014 (Informationen über die Zugriffsstatistik)

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