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Browsing by Author "Zafar, Fiza"

Now showing items 1-14 of 14

A class of four parametric with- and without memory root finding methods

Zafar, Fiza; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Rafi, Aneeqa (John Wiley & Sons, 2019-03-15)

[EN] In this paper, we have constructed a derivative¿free weighted eighth¿order iterative method with and without memory for solving nonlinear equations. This method is an optimal method as it satisfies the Kung¿Traub ...
A family of optimal fourth-order methods for multiple roots of nonlinear equations

Zafar, Fiza; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (John Wiley & Sons, 2020-09-30)

[EN] Newton-Raphson method has always remained as the widely used method for finding simple and multiple roots of nonlinear equations. In the past years, many new methods have been introduced for finding multiple zeros ...
A general class of four parametric with and without memory iterative methods for nonlinear equations

Zafar, Fiza; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Rafi, Aneeqa (Springer-Verlag, 2019-05)

[EN] In this paper, we have constructed a derivative-free weighted eighth-order iterative class of methods with and without-memory for solving nonlinear equations. These methods are optimal as they satisfy Kung-Traub's ...
A Seventh Order Family of Jarratt Type Iterative Method for Electrical Power Systems

Yaseen, Saima; Zafar, Fiza; Chicharro, Francisco I. (MDPI AG, 2023-04)

[EN] A load flow study referred to as a power flow study is a numerical analysis of the electricity that flows through any electrical power system. For instance, if a transmission line needs to be taken out of service for ...
An efficient family of optimal eighth-order multiple root finders

Zafar, Fiza; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2018)

[EN] Finding a repeated zero for a nonlinear equation f(x) = 0, f : I subset of R -> R has always been of much interest and attention due to its wide applications in many fields of science and engineering. Modified Newton's ...
An optimal eighth order derivative free multiple root finding scheme and its dynamics

Zafar, Fiza; Cordero Barbero, Alicia; Rizvi, Dua-E-Zahra; Torregrosa Sánchez, Juan Ramón (American Institute of Mathematical Sciences, 2023)

[EN] The problem of solving a nonlinear equation is considered to be one of the significant domain. Motivated by the requirement to achieve more optimal derivative-free schemes, we present an eighth-order optimal derivative-free ...
An Optimal Eighth Order Derivative-Free Scheme for Multiple Roots of Non-linear Equations

Zafar, Fiza; Cordero Barbero, Alicia; Zahra Rizvi, Syeda Dua E; Torregrosa Sánchez, Juan Ramón (Universitat Politècnica de València, 2021-11-30)
Approximating the inverse and the Moore-Penrose inverse of complex matrices

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Zafar, Fiza (John Wiley & Sons, 2019-11-30)

[EN] A parametric family of fourth-order schemes for computing the inverse and the Moore-Penrose inverse of a complex matrix is designed. A particular value of the parameter allows us to obtain a fifth-order method. ...
Efficient Four-Parametric with-and-without-Memory Iterative Methods Possessing High Efficiency Indices

Cordero Barbero, Alicia; Junjua, Moin-ud-Din; Torregrosa Sánchez, Juan Ramón; Yasmin, Nusrat; Zafar, Fiza (Hindawi Limited, 2018)

[EN] We construct a family of derivative-free optimal iterative methods without memory to approximate a simple zero of a nonlinear function. Error analysis demonstrates that the without-memory class has eighth-order ...
New Iterative Schemes to Solve Nonlinear Systems with Symmetric Basins of Attraction

Cordero Barbero, Alicia; Iqbal, Smmayya; Torregrosa Sánchez, Juan Ramón; Zafar, Fiza (MDPI AG, 2022-08)

[EN] We present a new Jarratt-type family of optimal fourth- and sixth-order iterative methods for solving nonlinear equations, along with their convergence properties. The schemes are extended to nonlinear systems of ...
Optimal eighth-order iterative methods for approximating multiple zeros of nonlinear functions

Zafar, Fiza; Cordero Barbero, Alicia; Junjua, Moin-ud-Din; Torregrosa Sánchez, Juan Ramón (Springer-Verlag, 2020-01-11)

[EN] It is well known that the optimal iterative methods are of more significance than the non-optimal ones in view of their efficiency and convergence speed. There are only a few number of optimal iterative methods for ...
Optimal iterative methods for finding multiple roots of nonlinear equations using free parameters

Zafar, Fiza; Cordero Barbero, Alicia; Quratulain, R.; Torregrosa Sánchez, Juan Ramón (Springer-Verlag, 2018)

[EN] In this paper, we propose a family of optimal eighth order convergent iterative methods for multiple roots with known multiplicity with the introduction of two free parameters and three univariate weight functions. ...
Optimal iterative methods for finding multiple roots of nonlinear equations using weight functions and dynamics

Zafar, Fiza; Cordero Barbero, Alicia; Sultana, Sana; Torregrosa Sánchez, Juan Ramón (Elsevier, 2018)

[EN] In this paper, we propose a family of iterative methods for finding multiple roots, with known multiplicity, by means of the introduction of four univariate weight functions. With the help of these weight functions, ...
Stability analysis of a family of optimal fourth-order methods for multiple roots

Zafar, Fiza; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Springer-Verlag, 2019-07)

[EN] Complex dynamics tools applied on the rational functions resulting from a parametric family of roots solvers for nonlinear equations provide very useful results that have been stated in the last years. These qualitative ...