Sharma, Janak Raj; Kumar, Sunil; Singh, Harmandeep A new class of derivative-free root solvers with increasing optimal convergence order and their complex dynamics. (English) Zbl 07716652 S\(\vec{\text{e}}\)MA J. 80, No. 2, 333-352 (2023). MSC: 65H05 41A21 41A25 PDFBibTeX XMLCite \textit{J. R. Sharma} et al., S\(\vec{\text{e}}\)MA J. 80, No. 2, 333--352 (2023; Zbl 07716652) Full Text: DOI
Argyros, Ioannis K.; Sharma, Debasis; Argyros, Christopher I.; Parhi, Sanjaya Kumar; Sunanda, Shanta Kumari Extended convergence ball for an efficient eighth order method using only the first derivative. (English) Zbl 1516.65041 S\(\vec{\text{e}}\)MA J. 80, No. 2, 319-331 (2023). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., S\(\vec{\text{e}}\)MA J. 80, No. 2, 319--331 (2023; Zbl 1516.65041) Full Text: DOI
Singh, Manoj Kumar; Argyros, Ioannis K.; Singh, Arvind K. An optimal 8th order Newton’s-type method with basin of attraction. (English) Zbl 1499.65180 S\(\vec{\text{e}}\)MA J. 79, No. 4, 631-645 (2022). MSC: 65H05 PDFBibTeX XMLCite \textit{M. K. Singh} et al., S\(\vec{\text{e}}\)MA J. 79, No. 4, 631--645 (2022; Zbl 1499.65180) Full Text: DOI
Argyros, Ioannis K.; Sharma, Debasis; Parhi, Sanjaya Kumar; Sunanda, Shanta Kumari A study on the local convergence and complex dynamics of Kou’s family of iterative methods. (English) Zbl 1501.39008 S\(\vec{\text{e}}\)MA J. 79, No. 2, 365-381 (2022). MSC: 39B12 37F10 41A25 47J25 65J15 65Y20 65H20 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., S\(\vec{\text{e}}\)MA J. 79, No. 2, 365--381 (2022; Zbl 1501.39008) Full Text: DOI
Sharma, Debasis; Parhi, Sanjaya Kumar Complex dynamics of a sixth and seventh order family of root finding methods. (English) Zbl 1457.37110 S\(\vec{\text{e}}\)MA J. 77, No. 3, 339-349 (2020). MSC: 37N30 37F10 65H05 PDFBibTeX XMLCite \textit{D. Sharma} and \textit{S. K. Parhi}, S\(\vec{\text{e}}\)MA J. 77, No. 3, 339--349 (2020; Zbl 1457.37110) Full Text: DOI
Argyros, Ioannis K.; Sharma, Debasis; Parhi, Sanjaya Kumar On the local convergence of Weerakoon-Fernando method with \(\omega\) continuity condition in Banach spaces. (English) Zbl 07293754 S\(\vec{\text{e}}\)MA J. 77, No. 3, 291-304 (2020). Reviewer: Halima Nachid (Abidjan) MSC: 65J15 47J25 49M15 65D99 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., S\(\vec{\text{e}}\)MA J. 77, No. 3, 291--304 (2020; Zbl 07293754) Full Text: DOI
Fariborzi Araghi, Mohammad Ali A reliable algorithm to check the accuracy of iterative schemes for solving nonlinear equations: an application of the CESTAC method. (English) Zbl 1456.65032 S\(\vec{\text{e}}\)MA J. 77, No. 3, 275-289 (2020). MSC: 65H05 65G50 PDFBibTeX XMLCite \textit{M. A. Fariborzi Araghi}, S\(\vec{\text{e}}\)MA J. 77, No. 3, 275--289 (2020; Zbl 1456.65032) Full Text: DOI
Sharma, Rajni; Bahl, Ashu On developing a novel sixth order transformation method for multiple roots and its basins of attraction. (English) Zbl 1433.65091 S\(\vec{\text{e}}\)MA J. 76, No. 4, 595-613 (2019). Reviewer: Anton Iliev (Plovdiv) MSC: 65H05 65H20 PDFBibTeX XMLCite \textit{R. Sharma} and \textit{A. Bahl}, S\(\vec{\text{e}}\)MA J. 76, No. 4, 595--613 (2019; Zbl 1433.65091) Full Text: DOI
Sivakumar, Parimala; Madhu, Kalyanasundaram; Jayaraman, Jayakumar Optimal fourth order methods with its multi-step version for nonlinear equation and their basins of attraction. (English) Zbl 1431.65070 S\(\vec{\text{e}}\)MA J. 76, No. 4, 559-579 (2019). MSC: 65H05 65D05 41A25 PDFBibTeX XMLCite \textit{P. Sivakumar} et al., S\(\vec{\text{e}}\)MA J. 76, No. 4, 559--579 (2019; Zbl 1431.65070) Full Text: DOI
Sharma, Janak Raj; Argyros, Ioannis K.; Kumar, Deepak Newton-like methods with increasing order of convergence and their convergence analysis in Banach space. (English) Zbl 1411.65080 S\(\vec{\text{e}}\)MA J. 75, No. 3, 545-561 (2018). MSC: 65J15 PDFBibTeX XMLCite \textit{J. R. Sharma} et al., S\(\vec{\text{e}}\)MA J. 75, No. 3, 545--561 (2018; Zbl 1411.65080) Full Text: DOI
Sharma, Janak Raj; Kumar, Sunil Efficient methods of optimal eighth and sixteenth order convergence for solving nonlinear equations. (English) Zbl 1398.65101 S\(\vec{\text{e}}\)MA J. 75, No. 2, 229-253 (2018). MSC: 65H05 PDFBibTeX XMLCite \textit{J. R. Sharma} and \textit{S. Kumar}, S\(\vec{\text{e}}\)MA J. 75, No. 2, 229--253 (2018; Zbl 1398.65101) Full Text: DOI
Sharma, Rajni; Sharma, Janak Raj; Kalra, Nitin A novel family of weighted-Newton optimal eighth order methods with dynamics. (English) Zbl 1405.65071 S\(\vec{\text{e}}\)MA J. 75, No. 2, 197-213 (2018). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65H05 PDFBibTeX XMLCite \textit{R. Sharma} et al., S\(\vec{\text{e}}\)MA J. 75, No. 2, 197--213 (2018; Zbl 1405.65071) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Local convergence for an almost sixth order method for solving equations under weak conditions. (English) Zbl 1396.49021 S\(\vec{\text{e}}\)MA J. 75, No. 2, 163-171 (2018). MSC: 49M15 74G20 41A25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, S\(\vec{\text{e}}\)MA J. 75, No. 2, 163--171 (2018; Zbl 1396.49021) Full Text: DOI
Ahmad, Fayyaz; Ullah, Malik Zaka; Ahmad, Shamshad; Alshomrani, Ali Saleh; Alqahtani, Aisha M.; Alzaben, L. Multi-step preconditioned Newton methods for solving systems of nonlinear equations. (English) Zbl 1444.65021 S\(\vec{\text{e}}\)MA J. 75, No. 1, 127-137 (2018). MSC: 65H10 PDFBibTeX XMLCite \textit{F. Ahmad} et al., S\(\vec{\text{e}}\)MA J. 75, No. 1, 127--137 (2018; Zbl 1444.65021) Full Text: DOI
Argyros, Ioannis K.; Sharma, Janak Raj; Kumar, Deepak Local convergence of Newton-HSS methods with positive definite Jacobian matrices under generalized conditions. (English) Zbl 1444.65019 S\(\vec{\text{e}}\)MA J. 75, No. 1, 95-109 (2018). MSC: 65H05 65F10 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., S\(\vec{\text{e}}\)MA J. 75, No. 1, 95--109 (2018; Zbl 1444.65019) Full Text: DOI
Sharma, Janak Raj; Argyros, Ioannis K. Local convergence of a Newton-Traub composition in Banach spaces. (English) Zbl 1388.49028 S\(\vec{\text{e}}\)MA J. 75, No. 1, 57-68 (2018). MSC: 49M15 47J25 65H10 49J50 PDFBibTeX XMLCite \textit{J. R. Sharma} and \textit{I. K. Argyros}, S\(\vec{\text{e}}\)MA J. 75, No. 1, 57--68 (2018; Zbl 1388.49028) Full Text: DOI
Ahmad, Fayyaz Multi-step derivative-free preconditioned Newton method for solving systems of nonlinear equations. (English) Zbl 1444.65020 S\(\vec{\text{e}}\)MA J. 75, No. 1, 45-56 (2018). MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{F. Ahmad}, S\(\vec{\text{e}}\)MA J. 75, No. 1, 45--56 (2018; Zbl 1444.65020) Full Text: DOI Link
Sharma, Janak Raj; Arora, Himani Improved Newton-like methods for solving systems of nonlinear equations. (English) Zbl 1391.65147 S\(\vec{\text{e}}\)MA J. 74, No. 2, 147-163 (2017). Reviewer: José Manuel Gutiérrez Jimenez (Logrono) MSC: 65H10 65Y20 PDFBibTeX XMLCite \textit{J. R. Sharma} and \textit{H. Arora}, S\(\vec{\text{e}}\)MA J. 74, No. 2, 147--163 (2017; Zbl 1391.65147) Full Text: DOI
Singh, Sukhjit; Gupta, D. K.; Roy, Falguni Higher order multi-step interval iterative methods for solving nonlinear equations in \(\mathbb R^n\). (English) Zbl 1385.65040 S\(\vec{\text{e}}\)MA J. 74, No. 2, 133-146 (2017). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65H10 65G40 65Y20 PDFBibTeX XMLCite \textit{S. Singh} et al., S\(\vec{\text{e}}\)MA J. 74, No. 2, 133--146 (2017; Zbl 1385.65040) Full Text: DOI
Narang, Mona; Bhatia, Saurabh; Kanwar, Vinay New uni-parametric family of multipoint methods with memory for systems of nonlinear equations. (English) Zbl 1384.65031 S\(\vec{\text{e}}\)MA J. 74, No. 1, 91-113 (2017). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65H10 65Y20 PDFBibTeX XMLCite \textit{M. Narang} et al., S\(\vec{\text{e}}\)MA J. 74, No. 1, 91--113 (2017; Zbl 1384.65031) Full Text: DOI
Kanwar, V.; Bala, Raj; Kansal, Munish Some new weighted eighth-order variants of Steffensen-King’s type family for solving nonlinear equations and its dynamics. (English) Zbl 1382.65131 S\(\vec{\text{e}}\)MA J. 74, No. 1, 75-90 (2017). MSC: 65H05 PDFBibTeX XMLCite \textit{V. Kanwar} et al., S\(\vec{\text{e}}\)MA J. 74, No. 1, 75--90 (2017; Zbl 1382.65131) Full Text: DOI
Behl, Ramandeep; Argyros, Ioannis K.; Motsa, S. S. Improved Chebyshev-Halley family of methods with seventh and eighth order of convergence for simple roots. (English) Zbl 1380.65087 S\(\vec{\text{e}}\)MA J. 74, No. 4, 643-665 (2017). MSC: 65H05 PDFBibTeX XMLCite \textit{R. Behl} et al., S\(\vec{\text{e}}\)MA J. 74, No. 4, 643--665 (2017; Zbl 1380.65087) Full Text: DOI
Chun, Changbum; Neta, Beny How good are methods with memory for the solution of nonlinear equations? (English) Zbl 1380.65088 S\(\vec{\text{e}}\)MA J. 74, No. 4, 613-625 (2017). MSC: 65H05 65E05 PDFBibTeX XMLCite \textit{C. Chun} and \textit{B. Neta}, S\(\vec{\text{e}}\)MA J. 74, No. 4, 613--625 (2017; Zbl 1380.65088) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh; Erappa, Shobha M. Ball convergence for an eighth order efficient method under weak conditions in Banach spaces. (English) Zbl 1381.65039 S\(\vec{\text{e}}\)MA J. 74, No. 4, 513-521 (2017). Reviewer: Bangti Jin (London) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., S\(\vec{\text{e}}\)MA J. 74, No. 4, 513--521 (2017; Zbl 1381.65039) Full Text: DOI
Nik Long, N. M. A.; Salimi, Mehdi; Sharifi, Somayeh; Ferrara, Massimiliano Developing a new family of Newton-Secant method with memory based on a weight function. (English) Zbl 1382.65133 S\(\vec{\text{e}}\)MA J. 74, No. 4, 503-512 (2017). Reviewer: Anton Iliev (Plovdiv) MSC: 65H05 PDFBibTeX XMLCite \textit{N. M. A. Nik Long} et al., S\(\vec{\text{e}}\)MA J. 74, No. 4, 503--512 (2017; Zbl 1382.65133) Full Text: DOI
Argyros, Ioannis K.; Sharma, Janak Raj; Kumar, Deepak Ball convergence of the Newton-Gauss method in Banach space. (English) Zbl 1381.65040 S\(\vec{\text{e}}\)MA J. 74, No. 4, 429-439 (2017). Reviewer: Bangti Jin (London) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., S\(\vec{\text{e}}\)MA J. 74, No. 4, 429--439 (2017; Zbl 1381.65040) Full Text: DOI
Ferrara, Massimiliano; Sharifi, Somayeh; Salimi, Mehdi Computing multiple zeros by using a parameter in Newton-secant method. (English) Zbl 1380.65089 S\(\vec{\text{e}}\)MA J. 74, No. 4, 361-369 (2017). MSC: 65H05 PDFBibTeX XMLCite \textit{M. Ferrara} et al., S\(\vec{\text{e}}\)MA J. 74, No. 4, 361--369 (2017; Zbl 1380.65089) Full Text: DOI arXiv
Argyros, Ioannis K.; Kansal, Munish; Kanwar, V. Local convergence for multipoint methods using only the first derivative. (English) Zbl 1367.65082 S\(\vec{\text{e}}\)MA J. 73, No. 4, 369-378 (2016). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., S\(\vec{\text{e}}\)MA J. 73, No. 4, 369--378 (2016; Zbl 1367.65082) Full Text: DOI
Cantó, Rafael; Peláez, María J.; Urbano, Ana M. On the characterization of totally nonpositive matrices. (English) Zbl 1375.15050 S\(\vec{\text{e}}\)MA J. 73, No. 4, 347-368 (2016). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15B48 15A23 15A09 PDFBibTeX XMLCite \textit{R. Cantó} et al., S\(\vec{\text{e}}\)MA J. 73, No. 4, 347--368 (2016; Zbl 1375.15050) Full Text: DOI Link
Argyros, Ioannis K.; Kansal, Munish Unified local convergence for a certain family of methods in Banach space. (English) Zbl 1367.65081 S\(\vec{\text{e}}\)MA J. 73, No. 4, 325-334 (2016). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{M. Kansal}, S\(\vec{\text{e}}\)MA J. 73, No. 4, 325--334 (2016; Zbl 1367.65081) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Ball comparison between two optimal eight-order methods under weak conditions. (English) Zbl 1332.65066 S\(\vec{\text{e}}\)MA J. 72, No. 1, 1-11 (2015). Reviewer: Anton Iliev (Plovdiv) MSC: 65H05 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, S\(\vec{\text{e}}\)MA J. 72, No. 1, 1--11 (2015; Zbl 1332.65066) Full Text: DOI
García-Olivo, Martín; Gutiérrez, José M.; Alberto Magreñán, Á. A complex dynamical approach of Chebyshev’s method. (English) Zbl 1327.65096 S\(\vec{\text{e}}\)MA J. 71, No. 1, 57-68 (2015). MSC: 65H05 65H04 65E05 30C15 PDFBibTeX XMLCite \textit{M. García-Olivo} et al., S\(\vec{\text{e}}\)MA J. 71, No. 1, 57--68 (2015; Zbl 1327.65096) Full Text: DOI
Alberto Magreñán, Á.; Argyros, Ioannis K. Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations. (English) Zbl 1326.65022 S\(\vec{\text{e}}\)MA J. 71, No. 1, 39-55 (2015). Reviewer: Anton Iliev (Plovdiv) MSC: 65D10 65D99 90C30 65H05 PDFBibTeX XMLCite \textit{Á. Alberto Magreñán} and \textit{I. K. Argyros}, S\(\vec{\text{e}}\)MA J. 71, No. 1, 39--55 (2015; Zbl 1326.65022) Full Text: DOI
Grau-Sánchez, Miquel; Noguera, Miquel; Diaz-Barrero, Jose Luis Note on the efficiency of some iterative methods for solving nonlinear equations. (English) Zbl 1328.65119 S\(\vec{\text{e}}\)MA J. 71, No. 1, 15-22 (2015). MSC: 65H10 PDFBibTeX XMLCite \textit{M. Grau-Sánchez} et al., S\(\vec{\text{e}}\)MA J. 71, No. 1, 15--22 (2015; Zbl 1328.65119) Full Text: DOI Link
Romero, Natalia Solving the one dimensional Bratu problem with efficient fourth order iterative methods. (English) Zbl 1328.65164 S\(\vec{\text{e}}\)MA J. 71, No. 1, 1-14 (2015). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65L10 34B15 65L20 PDFBibTeX XMLCite \textit{N. Romero}, S\(\vec{\text{e}}\)MA J. 71, No. 1, 1--14 (2015; Zbl 1328.65164) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Local convergence for some high convergence order Newton-like methods with frozen derivatives. (English) Zbl 1329.65113 S\(\vec{\text{e}}\)MA J. 70, No. 1, 47-59 (2015). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, S\(\vec{\text{e}}\)MA J. 70, No. 1, 47--59 (2015; Zbl 1329.65113) Full Text: DOI
Cordero, Alicia; Franques, Antonio; Torregrosa, Juan R. Multidimensional Homeier’s generalized class and its application to planar 1D Bratu problem. (English) Zbl 1327.65098 S\(\vec{\text{e}}\)MA J. 70, No. 1, 1-10 (2015). MSC: 65H10 65N06 35J60 PDFBibTeX XMLCite \textit{A. Cordero} et al., S\(\vec{\text{e}}\)MA J. 70, No. 1, 1--10 (2015; Zbl 1327.65098) Full Text: DOI Link
Budzko, Dzmitry; Cordero, Alicia; Torregrosa, Juan R. Modifications of Newton’s method to extend the convergence domain. (English) Zbl 1308.65072 S\(\vec{\text{e}}\)MA J. 66, No. 1, 43-53 (2014). MSC: 65H10 65-02 65H05 PDFBibTeX XMLCite \textit{D. Budzko} et al., S\(\vec{\text{e}}\)MA J. 66, No. 1, 43--53 (2014; Zbl 1308.65072) Full Text: DOI
Peña, J. M. Tests for the recognition of total positivity. (English) Zbl 1273.65042 S\(\vec{\text{e}}\)MA J. 62, No. 1, 61-73 (2013). MSC: 65F05 65F15 65F40 65D17 15A18 PDFBibTeX XMLCite \textit{J. M. Peña}, S\(\vec{\text{e}}\)MA J. 62, No. 1, 61--73 (2013; Zbl 1273.65042) Full Text: DOI