New variants of the Schroder method for finding zeros of nonlinear equations having unknown multiplicity
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 8, Issue 3
Abstract
There are two aims of this paper, firstly, we define new variants of the Schroder method for finding zeros of nonlinear equations having unknown multiplicity and secondly, we introduce a new formula for approximating multiplicity m. Using the new formula, the five particular well-established methods are identical to the classical Schroder method. In terms of computational cost the new iterative method requires three evaluations of functions per iteration. It is proved that the each of the methods has a convergence of order two. Numerical examples are given to demonstrate the performance of the methods with and without multiplicity m.
Authors and Affiliations
R. Thukral
Keywords
Related Articles
- EP ID EP651382
- DOI 10.24297/jam.v8i3.2578
- Views 161
- Downloads 0
Equivalent Identities on Semirings
In this paper mainly we have obtained equivalent conditions on semirings, regular semirings and Idempotent semirings.
On Full k-ideals of a Ternary Semiring
In this paper, we generalize the concept of the full -ideals of a semiring to ternary semiring and prove that the set of zeroids annihilator of a right ternary semimodule, and the Jacobson radical of a ternary semiring a...
Solution of Abel Integral Equation Using Differential Transform Method
The application of fractional differential transform method, developed for differential equations of fractional order, are extended to derive exact analytical solutions of fractional order Abel integral equations. The fr...
New Analytical and Empirical Expressions for the Percentage of the Star's Flux Through TransparentAtmosphere Between Two Wave Lengths
In this paper, new analytical and empirical expressions for the percentage of the star's flux through transparent atmosphere between two wave lengths are developed. For the analytical developments, literal expressi...
Some properties on semi-symmetric metric T-connection on Sasakian Manifold
In the present paper we have studied some properties of semi symmetric metric connection in almost contact metric manifold. In this paper we have studied some results related to quasi conformal curvature tensor, m-projec...