The convergence of Euler-like method for the simultaneous inclusion of polynomial zeros
نویسندگان
چکیده
منابع مشابه
Euler-like Method for the Simultaneous Inclusion of Polynomial Zeros with Weierstrass’ 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-Petković’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 + √ 7 ≈ 4.646 or 5, depending of the type...
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15 صفحه اولextensions of some polynomial inequalities to the polar derivative
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15 صفحه اولFilomat 17 (2003), 155–168 Derivative Free Combined Method for the Simultaneous Inclusion of Polynomial Zeros
Abstract. A combined method for the simultaneous inclusion of complex zeros of a polynomial, composed of two circular arithmetic methods, is presented. This method does not use polynomial derivatives and has the order of convergence equals four. Computationally verifiable initial conditions that guarantee the convergence are also stated. Two numerical example are included to demonstrate the con...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2000
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(00)00068-7