On the convergence of the point repeated symmetric single-step procedure for simultaneous estimation of polynomial zeros

• المؤلفون الرئيسيون: Monsi, Mansor, Muhamad Rusli, Syaida Fadhilah, Hassan, Nasruddin, Ismail, Fudziah, Bibi, Zarina
• التنسيق: مقال
• اللغة: English
• منشور في: Institute for Mathematical Research, Universiti Putra Malaysia 2015
• الوصول للمادة أونلاين: http://psasir.upm.edu.my/id/eprint/38962/1/38962.pdf; http://psasir.upm.edu.my/id/eprint/38962/; http://einspem.upm.edu.my/journal/fullpaper/vol9no2/8.%20mansor%20monsi%20updated.pdf
• المؤسسة: Universiti Putra Malaysia

The point symmetric single-step procedure established by Monsi (2012) has R-order of convergence at least 3. This procedure is modified by repeating the steps in the procedure r times without involving function evaluations. This modified procedure is called the point repeated symmetric single-step PRSS1. The R-order of convergence of PRSS1 is at least (2r + 1)(r ≥ 1) Computational experiences in the implementation of the interval version of PRSS1 (see Monsi and Wolfe, 1988) showed that the repeated symmetric single-step procedure is more efficient than the total step (Kerner, 1966) and the single-step (Alefeld and Herzberger, 1974) methods.