An Optimal Eighth-Order Derivative-Free Family of Potra-Pták's Method
Algorithms, 2015 In this paper, we present a new three-step derivative-free family based on Potra-Ptak’s method for solving nonlinear equations numerically. In terms of computational cost, each member of the proposed family requires only four functional evaluations per ...
Munish Kansal, V. Kanwar, S. Bhatia
semanticscholar +4 more sources
Modified Potra-Pták Multi-step Schemes with Accelerated Order of Convergence for Solving Systems of Nonlinear Equations [PDF]
Mathematical and Computational Applications, 2018 In this study, an iterative scheme of sixth order of convergence for solving systems of nonlinear equations is presented. The scheme is composed of three steps, of which the first two steps are that of third order Potra-Pták method and last is weighted ...
H. Arora, J. Torregrosa, A. Cordero
semanticscholar +2 more sources
An optimized derivative-free form of the Potra-Pták method
Mathematical and Computer Modelling, 2012 F. Soleymani +3 more
semanticscholar +3 more sources
New modifications of Potra-Pták's method with optimal fourth and eighth orders of convergence
Journal of Computational and Applied Mathematics, 2010 A. Cordero +3 more
semanticscholar +3 more sources
Third‐Order Newton‐Type Methods Combined with Vector Extrapolation for Solving Nonlinear Systems
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We present a third‐order method for solving the systems of nonlinear equations. This method is a Newton‐type scheme with the vector extrapolation. We establish the local and semilocal convergence of this method. Numerical results show that the composite method is more robust and efficient than a number of Newton‐type methods with the other vector ...
Wen Zhou, Jisheng Kou, Vinay Kanwar
wiley +1 more source
On Some Efficient Techniques for Solving Systems of Nonlinear Equations
Advances in Numerical Analysis, Volume 2013, Issue 1, 2013., 2013 We present iterative methods of convergence order three, five, and six for solving systems of nonlinear equations. Third‐order method is composed of two steps, namely, Newton iteration as the first step and weighted‐Newton iteration as the second step.
Janak Raj Sharma +2 more
wiley +1 more source
KONVERGENSI MODIFIKASI METODE POTRA-PTAK MENGGUNAKAN INTERPOLASI KUADRATIK [PDF]
, 2013 Metode Potra-Ptak merupakan salah satu metode iterasi dengan orde konvergensi tiga untuk menentukan akar-akar persamaan nonlinier. Kecepatan sebuah metode iterasi bergantung kepada orde konvergensinya.
ZUHROWARDI
core +1 more source
Sharp estimation of local convergence radius for the Picard iteration [PDF]
, 2018 We investigate the local convergence radius of a general Picard iteration in the frame of a real Hilbert space. We propose a new algorithm to estimate the local convergence radius.
Maruster, Stefan +4 more
core +1 more source
Modifikasi Metode Iterasi Dua Langkah Menggunakan Kombinasi Linear Tiga Parameter Real
, 2019 Makalah ini membahas modifikasi metode iterasi dua langkah dengan menggunakan kombinasi linier tiga parameter dan tiga metode iterasi berorde konvergensi tiga yang masing-masing dihasilkan dari penjumlahan metode Potra-Ptak dan metode varian Newton ...
Husni, Alfi, Wartono, Wartono
core +2 more sources
KONVERGENSI MODIFIKASI METODE POTRA - PTAK DENGAN MENGGUNAKAN KELENGKUNGAN KURVA [PDF]
, 2013 Metode Potra-Ptak adalah salah satu metode yang digunakan untuk menentukan akar-akar persamaan nonlinier dengan orde konvergensi kubik. Kecepatan sebuah metode iterasi dalam mendekati akar –akar persamaan nonlinier bergantung pada orde konvergensinya ...
YUZI ANDRI SUHARYONO
core +1 more source