Gao, Qin; Fu, Dongying; Chen, Minhong Optimal grid method for the recovery of the potential from two spectra. (English) Zbl 07784417 Comput. Appl. Math. 42, No. 8, Paper No. 366, 16 p. (2023). MSC: 34L16 65F18 65L09 PDFBibTeX XMLCite \textit{Q. Gao} et al., Comput. Appl. Math. 42, No. 8, Paper No. 366, 16 p. (2023; Zbl 07784417) Full Text: DOI
Kumar, Deepak; Sharma, Janak Raj; Singh, Harmandeep Higher order Traub-Steffensen type methods and their convergence analysis in Banach spaces. (English) Zbl 07715045 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 4, 1565-1587 (2023). MSC: 65H10 65J10 41A25 49M15 PDFBibTeX XMLCite \textit{D. Kumar} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 4, 1565--1587 (2023; Zbl 07715045) Full Text: DOI
Zhang, Jianhua; Wang, Yuqing; Zhao, Jing On maximum residual nonlinear Kaczmarz-type algorithms for large nonlinear systems of equations. (English) Zbl 07700257 J. Comput. Appl. Math. 425, Article ID 115065, 16 p. (2023). MSC: 65Fxx 65Kxx PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Comput. Appl. Math. 425, Article ID 115065, 16 p. (2023; Zbl 07700257) Full Text: DOI
Zhang, Yuanyuan; Wu, Qingbiao; Feng, Yuye; Xiao, Yao Modified Newton-PSBTS method for solving complex nonlinear systems with symmetric Jacobian matrices. (English) Zbl 1505.65207 Appl. Numer. Math. 182, 308-329 (2022). MSC: 65H10 49M15 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Appl. Numer. Math. 182, 308--329 (2022; Zbl 1505.65207) Full Text: DOI
Behl, Ramandeep; Bhalla, Sonia; Magreñán, Á. A.; Kumar, Sanjeev An efficient high order iterative scheme for large nonlinear systems with dynamics. (English) Zbl 1481.65075 J. Comput. Appl. Math. 404, Article ID 113249, 16 p. (2022). MSC: 65H10 41A58 65Y20 PDFBibTeX XMLCite \textit{R. Behl} et al., J. Comput. Appl. Math. 404, Article ID 113249, 16 p. (2022; Zbl 1481.65075) Full Text: DOI
Shams, Mudassir; Rafiq, Naila; Kausar, Nasreen; Agarwal, Praveen; Park, Choonkil; Mir, Nazir Ahmad On iterative techniques for estimating all roots of nonlinear equation and its system with application in differential equation. (English) Zbl 1494.65023 Adv. Difference Equ. 2021, Paper No. 480, 18 p. (2021). MSC: 65H05 65H10 65H04 PDFBibTeX XMLCite \textit{M. Shams} et al., Adv. Difference Equ. 2021, Paper No. 480, 18 p. (2021; Zbl 1494.65023) Full Text: DOI
Feng, Yu-Ye; Wu, Qing-Biao MN-PGSOR method for solving nonlinear systems with block two-by-two complex symmetric Jacobian matrices. (English) Zbl 1477.65080 J. Math. 2021, Article ID 4393353, 18 p. (2021). MSC: 65H10 PDFBibTeX XMLCite \textit{Y.-Y. Feng} and \textit{Q.-B. Wu}, J. Math. 2021, Article ID 4393353, 18 p. (2021; Zbl 1477.65080) Full Text: DOI
Niazkar, Majid; Eryılmaz Türkkan, Gökçen Application of third-order schemes to improve the convergence of the Hardy Cross method in pipe network analysis. (English) Zbl 1481.65073 Adv. Math. Phys. 2021, Article ID 6692067, 12 p. (2021). MSC: 65H05 90B10 PDFBibTeX XMLCite \textit{M. Niazkar} and \textit{G. Eryılmaz Türkkan}, Adv. Math. Phys. 2021, Article ID 6692067, 12 p. (2021; Zbl 1481.65073) Full Text: DOI
Zhang, Lv; Wu, Qing-Biao; Chen, Min-Hong; Lin, Rong-Fei Two new effective iteration methods for nonlinear systems with complex symmetric Jacobian matrices. (English) Zbl 1476.65079 Comput. Appl. Math. 40, No. 3, Paper No. 97, 27 p. (2021). MSC: 65H10 PDFBibTeX XMLCite \textit{L. Zhang} et al., Comput. Appl. Math. 40, No. 3, Paper No. 97, 27 p. (2021; Zbl 1476.65079) Full Text: DOI
Kansal, Munish; Cordero, Alicia; Bhalla, Sonia; Torregrosa, Juan R. New fourth- and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis. (English) Zbl 1470.65103 Numer. Algorithms 87, No. 3, 1017-1060 (2021). MSC: 65H10 65Y20 PDFBibTeX XMLCite \textit{M. Kansal} et al., Numer. Algorithms 87, No. 3, 1017--1060 (2021; Zbl 1470.65103) Full Text: DOI
Argyros, Ioannis K.; Sharma, Debasis; Parhi, Sanjaya Kumar; Sunanda, Shanta Kumari On the convergence, dynamics and applications of a new class of nonlinear system solvers. (English) Zbl 1470.65100 Int. J. Appl. Comput. Math. 6, No. 5, Paper No. 142, 21 p. (2020). MSC: 65H10 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Int. J. Appl. Comput. Math. 6, No. 5, Paper No. 142, 21 p. (2020; Zbl 1470.65100) Full Text: DOI
Sharma, Rajni; Sharma, Janak Raj; Kalra, Nitin A modified Newton-Özban composition for solving nonlinear systems. (English) Zbl 07336579 Int. J. Comput. Methods 17, No. 8, Article ID 1950047, 17 p. (2020). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{R. Sharma} et al., Int. J. Comput. Methods 17, No. 8, Article ID 1950047, 17 p. (2020; Zbl 07336579) Full Text: DOI
Ali, Mohamed R.; Baleanu, Dumitru New wavelet method for solving boundary value problems arising from an adiabatic tubular chemical reactor theory. (English) Zbl 07336044 Int. J. Biomath. 13, No. 7, Article ID 2050059, 11 p. (2020). MSC: 65T60 45F15 65M12 PDFBibTeX XMLCite \textit{M. R. Ali} and \textit{D. Baleanu}, Int. J. Biomath. 13, No. 7, Article ID 2050059, 11 p. (2020; Zbl 07336044) Full Text: DOI
Singh, Manoj Kumar; Singh, Arvind K. Variant of Newton’s method using Simpson’s 3/8th rule. (English) Zbl 1461.65070 Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 20, 13 p. (2020). MSC: 65H04 65H05 PDFBibTeX XMLCite \textit{M. K. Singh} and \textit{A. K. Singh}, Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 20, 13 p. (2020; Zbl 1461.65070) Full Text: DOI
Ogbereyivwe, Oghovese; Ojo-Orobosa, Veronica High order quadrature based iterative method for approximating the solution of nonlinear equations. (English) Zbl 1488.65118 Casp. J. Math. Sci. 9, No. 2, 243-255 (2020). MSC: 65H05 65D32 PDFBibTeX XMLCite \textit{O. Ogbereyivwe} and \textit{V. Ojo-Orobosa}, Casp. J. Math. Sci. 9, No. 2, 243--255 (2020; Zbl 1488.65118) Full Text: DOI
Yin, Hui; Chen, Ye-Hwa; Yu, Dejie Fuzzy dynamical system approach for a dual-parameter hybrid-order robust control design. (English) Zbl 1452.93025 Fuzzy Sets Syst. 392, 136-153 (2020). MSC: 93C42 93B35 PDFBibTeX XMLCite \textit{H. Yin} et al., Fuzzy Sets Syst. 392, 136--153 (2020; Zbl 1452.93025) Full Text: DOI
Singh, Anuradha On a three-step efficient fourth-order method for computing the numerical solution of system of nonlinear equations and its applications. (English) Zbl 1452.65094 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 4, 709-716 (2020). MSC: 65H10 41A25 65N22 PDFBibTeX XMLCite \textit{A. Singh}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 4, 709--716 (2020; Zbl 1452.65094) Full Text: DOI
Qi, Xin; Wu, Hui-Ting; Xiao, Xiao-Yong Modified Newton-AGSOR method for solving nonlinear systems with block two-by-two complex symmetric Jacobian matrices. (English) Zbl 1434.65029 Calcolo 57, No. 2, Paper No. 14, 23 p. (2020). MSC: 65F10 65F05 65F50 PDFBibTeX XMLCite \textit{X. Qi} et al., Calcolo 57, No. 2, Paper No. 14, 23 p. (2020; Zbl 1434.65029) Full Text: DOI
Pei, Jun; Dražić, Zorica; Dražić, Milan; Mladenović, Nenad; Pardalos, Panos M. Continuous variable neighborhood search (C-VNS) for solving systems of nonlinear equations. (English) Zbl 07281709 INFORMS J. Comput. 31, No. 2, 235-250 (2019). MSC: 90C05 PDFBibTeX XMLCite \textit{J. Pei} et al., INFORMS J. Comput. 31, No. 2, 235--250 (2019; Zbl 07281709) Full Text: DOI
Abubakar, Auwal Bala; Kumam, Poom; Awwal, Aliyu Muhammed A descent Dai-Liao projection method for convex constrained nonlinear monotone equations with applications. (English) Zbl 1463.90202 Thai J. Math., Spec. Iss.: Annual Meeting in Mathematics 2018, 128-152 (2019). MSC: 90C30 90C06 90C56 PDFBibTeX XMLCite \textit{A. B. Abubakar} et al., Thai J. Math., 128--152 (2019; Zbl 1463.90202) Full Text: Link
Cordero, Alicia; Maimó, Javier G.; Torregrosa, Juan R.; Vassileva, María P. Stability anomalies of some Jacobian-free iterative methods of high order of convergence. (English) Zbl 1432.65061 Axioms 8, No. 2, Paper No. 51, 15 p. (2019). MSC: 65H10 PDFBibTeX XMLCite \textit{A. Cordero} et al., Axioms 8, No. 2, Paper No. 51, 15 p. (2019; Zbl 1432.65061) Full Text: DOI
Bahl, Ashu; Cordero, Alicia; Sharma, Rajni; R. Torregrosa, Juan A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics. (English) Zbl 1429.65103 Appl. Math. Comput. 357, 147-166 (2019). MSC: 65H10 37F10 39A30 PDFBibTeX XMLCite \textit{A. Bahl} et al., Appl. Math. Comput. 357, 147--166 (2019; Zbl 1429.65103) Full Text: DOI
Abro, Hameer Akhtar; Shaikh, Muhammad Mujtaba A new time-efficient and convergent nonlinear solver. (English) Zbl 1429.65102 Appl. Math. Comput. 355, 516-536 (2019). MSC: 65H05 PDFBibTeX XMLCite \textit{H. A. Abro} and \textit{M. M. Shaikh}, Appl. Math. Comput. 355, 516--536 (2019; Zbl 1429.65102) Full Text: DOI
Xie, Fang; Wu, Qing-Biao; Dai, Ping-Fei Modified Newton-SHSS method for a class of systems of nonlinear equations. (English) Zbl 1438.65112 Comput. Appl. Math. 38, No. 1, Paper No. 19, 25 p. (2019). MSC: 65H10 PDFBibTeX XMLCite \textit{F. Xie} et al., Comput. Appl. Math. 38, No. 1, Paper No. 19, 25 p. (2019; Zbl 1438.65112) Full Text: DOI
Abubakar, Auwal Bala; Kumam, Poom A descent Dai-Liao conjugate gradient method for nonlinear equations. (English) Zbl 1412.65042 Numer. Algorithms 81, No. 1, 197-210 (2019). MSC: 65K05 90C06 90C52 90C56 PDFBibTeX XMLCite \textit{A. B. Abubakar} and \textit{P. Kumam}, Numer. Algorithms 81, No. 1, 197--210 (2019; Zbl 1412.65042) Full Text: DOI
Chen, Min-Hong; Wu, Qing-Biao Modified Newton-MDPMHSS method for solving nonlinear systems with block two-by-two complex symmetric Jacobian matrices. (English) Zbl 1408.65029 Numer. Algorithms 80, No. 2, 355-375 (2019). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65H10 PDFBibTeX XMLCite \textit{M.-H. Chen} and \textit{Q.-B. Wu}, Numer. Algorithms 80, No. 2, 355--375 (2019; Zbl 1408.65029) Full Text: DOI
Xiao, Xiao-Yong; Yin, Hong-Wei Accelerating the convergence speed of iterative methods for solving nonlinear systems. (English) Zbl 1427.65084 Appl. Math. Comput. 333, 8-19 (2018). MSC: 65H10 PDFBibTeX XMLCite \textit{X.-Y. Xiao} and \textit{H.-W. Yin}, Appl. Math. Comput. 333, 8--19 (2018; Zbl 1427.65084) Full Text: DOI
Chen, Min-Hong; Wu, Qing-Biao On modified Newton-DGPMHSS method for solving nonlinear systems with complex symmetric Jacobian matrices. (English) Zbl 1418.65069 Comput. Math. Appl. 76, No. 1, 45-57 (2018). MSC: 65H10 PDFBibTeX XMLCite \textit{M.-H. Chen} and \textit{Q.-B. Wu}, Comput. Math. Appl. 76, No. 1, 45--57 (2018; Zbl 1418.65069) Full Text: DOI
Dai, Ping-Fei; Wu, Qing-Biao; Wu, Yu-Xi; Liu, Wen-Li Modified Newton-PSS method to solve nonlinear equations. (English) Zbl 1409.65032 Appl. Math. Lett. 86, 305-312 (2018). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65H10 PDFBibTeX XMLCite \textit{P.-F. Dai} et al., Appl. Math. Lett. 86, 305--312 (2018; Zbl 1409.65032) Full Text: DOI
Li, Ya-Min; Guo, Xue-Ping On the accelerated modified Newton-HSS method for systems of nonlinear equations. (English) Zbl 1402.65045 Numer. Algorithms 79, No. 4, 1049-1073 (2018). Reviewer: Hang Lau (Montréal) MSC: 65H10 PDFBibTeX XMLCite \textit{Y.-M. Li} and \textit{X.-P. Guo}, Numer. Algorithms 79, No. 4, 1049--1073 (2018; Zbl 1402.65045) Full Text: DOI
Bhalla, S.; Kumar, S.; Argyros, I. K.; Behl, Ramandeep; Motsa, S. S. Higher-order modification of Steffensen’s method for solving system of nonlinear equations. (English) Zbl 1405.65072 Comput. Appl. Math. 37, No. 2, 1913-1940 (2018). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65H10 65Y20 PDFBibTeX XMLCite \textit{S. Bhalla} et al., Comput. Appl. Math. 37, No. 2, 1913--1940 (2018; Zbl 1405.65072) Full Text: DOI
Xiao, Xiaoyong; Yin, Hongwei Achieving higher order of convergence for solving systems of nonlinear equations. (English) Zbl 1426.65074 Appl. Math. Comput. 311, 251-261 (2017). MSC: 65H10 PDFBibTeX XMLCite \textit{X. Xiao} and \textit{H. Yin}, Appl. Math. Comput. 311, 251--261 (2017; Zbl 1426.65074) Full Text: DOI
Chen, Zhongyuan; Qiu, Xiaofang; Lin, Songbin; Chen, Baoguo The iterative methods with higher order convergence for solving a system of nonlinear equations. (English) Zbl 1412.65032 J. Nonlinear Sci. Appl. 10, No. 7, 3834-3842 (2017). MSC: 65H10 PDFBibTeX XMLCite \textit{Z. Chen} et al., J. Nonlinear Sci. Appl. 10, No. 7, 3834--3842 (2017; Zbl 1412.65032) Full Text: DOI
Lin, Rong-Fei; Wu, Qing-Biao; Chen, Min-Hong; Liu, Lu; Dai, Ping-Fei Semilocal convergence theorem for a Newton-like method. (English) Zbl 1383.65056 East Asian J. Appl. Math. 7, No. 3, 482-494 (2017). MSC: 65J15 47H25 PDFBibTeX XMLCite \textit{R.-F. Lin} et al., East Asian J. Appl. Math. 7, No. 3, 482--494 (2017; Zbl 1383.65056) Full Text: DOI
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
Li, Yang; Guo, Xue-Ping Semilocal convergence analysis for MMN-HSS methods under Hölder conditions. (English) Zbl 1392.65063 East Asian J. Appl. Math. 7, No. 2, 396-416 (2017). MSC: 65F10 65F50 65H10 PDFBibTeX XMLCite \textit{Y. Li} and \textit{X.-P. Guo}, East Asian J. Appl. Math. 7, No. 2, 396--416 (2017; Zbl 1392.65063) Full Text: DOI
Li, Yang; Guo, Xue-Ping Multi-step modified Newton-HSS methods for systems of nonlinear equations with positive definite Jacobian matrices. (English) Zbl 1379.65027 Numer. Algorithms 75, No. 1, 55-80 (2017). Reviewer: Anton Iliev (Plovdiv) MSC: 65H10 PDFBibTeX XMLCite \textit{Y. Li} and \textit{X.-P. Guo}, Numer. Algorithms 75, No. 1, 55--80 (2017; Zbl 1379.65027) Full Text: DOI
Liu, Zhongli; Zheng, Quan; Huang, Chun-E Third- and fifth-order Newton-Gauss methods for solving nonlinear equations with \(n\) variables. (English) Zbl 1410.65189 Appl. Math. Comput. 290, 250-257 (2016). MSC: 65H10 PDFBibTeX XMLCite \textit{Z. Liu} et al., Appl. Math. Comput. 290, 250--257 (2016; Zbl 1410.65189) Full Text: DOI
Sharma, Janak Raj; Sharma, Rajni; Bahl, Ashu An improved Newton-Traub composition for solving systems of nonlinear equations. (English) Zbl 1410.65198 Appl. Math. Comput. 290, 98-110 (2016). MSC: 65H10 PDFBibTeX XMLCite \textit{J. R. Sharma} et al., Appl. Math. Comput. 290, 98--110 (2016; Zbl 1410.65198) Full Text: DOI
Su, Qifang A unified model for solving a system of nonlinear equations. (English) Zbl 1410.65200 Appl. Math. Comput. 290, 46-55 (2016). MSC: 65H10 PDFBibTeX XMLCite \textit{Q. Su}, Appl. Math. Comput. 290, 46--55 (2016; Zbl 1410.65200) Full Text: DOI
Narang, Mona; Bhatia, Saurabh; Kanwar, V. New two-parameter Chebyshev-Halley-like family of fourth and sixth-order methods for systems of nonlinear equations. (English) Zbl 1410.65194 Appl. Math. Comput. 275, 394-403 (2016). MSC: 65H10 PDFBibTeX XMLCite \textit{M. Narang} et al., Appl. Math. Comput. 275, 394--403 (2016; Zbl 1410.65194) Full Text: DOI
Waseem, Muhammad; Noor, Muhammad Aslam; Noor, Khalida Inayat Efficient method for solving a system of nonlinear equations. (English) Zbl 1410.65202 Appl. Math. Comput. 275, 134-146 (2016). MSC: 65H10 39B12 PDFBibTeX XMLCite \textit{M. Waseem} et al., Appl. Math. Comput. 275, 134--146 (2016; Zbl 1410.65202) Full Text: DOI
Antoni, Grégory A new accurate and efficient iterative numerical method for solving the scalar and vector nonlinear equations: approach based on geometric considerations. (English) Zbl 1413.65178 Int. J. Eng. Math. 2016, Article ID 6390367, 18 p. (2016). MSC: 65H05 65H10 PDFBibTeX XMLCite \textit{G. Antoni}, Int. J. Eng. Math. 2016, Article ID 6390367, 18 p. (2016; Zbl 1413.65178) Full Text: DOI
Choubey, Neha; Jaiswal, Jai Prakash Improving the order of convergence and efficiency index of an iterative method for nonlinear systems. (English) Zbl 1382.65139 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 86, No. 2, 221-227 (2016). MSC: 65H10 65Y20 PDFBibTeX XMLCite \textit{N. Choubey} and \textit{J. P. Jaiswal}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 86, No. 2, 221--227 (2016; Zbl 1382.65139) Full Text: DOI
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
Kalani, Hadi; Rezaei, Amir; Akbarzadeh, Alireza Improved general solution for the dynamic modeling of Gough-Stewart platform based on principle of virtual work. (English) Zbl 1353.70005 Nonlinear Dyn. 83, No. 4, 2393-2418 (2016). MSC: 70B15 70E60 92B20 PDFBibTeX XMLCite \textit{H. Kalani} et al., Nonlinear Dyn. 83, No. 4, 2393--2418 (2016; Zbl 1353.70005) Full Text: DOI
Sharma, Janak Raj; Guha, Rangan K. Simple yet efficient Newton-like method for systems of nonlinear equations. (English) Zbl 1378.65108 Calcolo 53, No. 3, 451-473 (2016). Reviewer: Przemysław Stpiczyński (Lublin) MSC: 65H10 65Y20 PDFBibTeX XMLCite \textit{J. R. Sharma} and \textit{R. K. Guha}, Calcolo 53, No. 3, 451--473 (2016; Zbl 1378.65108) Full Text: DOI
Chen, Minhong; Wu, Qingbiao; Lin, Rongfei Semilocal convergence analysis for the modified Newton-HSS method under the Hölder condition. (English) Zbl 1343.65058 Numer. Algorithms 72, No. 3, 667-685 (2016). MSC: 65H10 PDFBibTeX XMLCite \textit{M. Chen} et al., Numer. Algorithms 72, No. 3, 667--685 (2016; Zbl 1343.65058) Full Text: DOI
Sharma, Janak Raj; Arora, Himani Efficient derivative-free numerical methods for solving systems of nonlinear equations. (English) Zbl 1342.65131 Comput. Appl. Math. 35, No. 1, 269-284 (2016). Reviewer: Anton Iliev (Plovdiv) MSC: 65H10 65Y20 PDFBibTeX XMLCite \textit{J. R. Sharma} and \textit{H. Arora}, Comput. Appl. Math. 35, No. 1, 269--284 (2016; Zbl 1342.65131) Full Text: DOI
Noor, Muhammad Aslam; Waseem, Muhammad; Noor, Khalida Inayat New iterative technique for solving a system of nonlinear equations. (English) Zbl 1410.65195 Appl. Math. Comput. 271, 446-466 (2015). MSC: 65H10 PDFBibTeX XMLCite \textit{M. A. Noor} et al., Appl. Math. Comput. 271, 446--466 (2015; Zbl 1410.65195) Full Text: DOI
Khan, Waseem Asghar; Noor, Khalida Inayat; Bhatti, Kaleemulah; Ansari, Faryal Aijaz A new fourth order Newton-type method for solution of system of nonlinear equations. (English) Zbl 1410.65187 Appl. Math. Comput. 270, 724-730 (2015). MSC: 65H10 65H05 PDFBibTeX XMLCite \textit{W. A. Khan} et al., Appl. Math. Comput. 270, 724--730 (2015; Zbl 1410.65187) Full Text: DOI
Sharma, Janak Raj; Sharma, Rajni; Kalra, Nitin A novel family of composite Newton-Traub methods for solving systems of nonlinear equations. (English) Zbl 1410.65199 Appl. Math. Comput. 269, 520-535 (2015). MSC: 65H10 39B12 PDFBibTeX XMLCite \textit{J. R. Sharma} et al., Appl. Math. Comput. 269, 520--535 (2015; Zbl 1410.65199) Full Text: DOI
Zhong, Hong-Xiu; Chen, Guo-Liang; Guo, Xue-Ping On preconditioned modified Newton-MHSS method for systems of nonlinear equations with complex symmetric Jacobian matrices. (English) Zbl 1323.65055 Numer. Algorithms 69, No. 3, 553-567 (2015). Reviewer: T. C. Mohan (Chennai) MSC: 65H10 65F08 PDFBibTeX XMLCite \textit{H.-X. Zhong} et al., Numer. Algorithms 69, No. 3, 553--567 (2015; Zbl 1323.65055) Full Text: DOI
Jaiswal, J. P. Some class of third- and fourth-order iterative methods for solving nonlinear equations. (English) Zbl 1442.65086 J. Appl. Math. 2014, Article ID 817656, 17 p. (2014). MSC: 65H05 PDFBibTeX XMLCite \textit{J. P. Jaiswal}, J. Appl. Math. 2014, Article ID 817656, 17 p. (2014; Zbl 1442.65086) Full Text: DOI arXiv
Sharma, Janak Raj; Arora, Himani Efficient Jarratt-like methods for solving systems of nonlinear equations. (English) Zbl 1311.65052 Calcolo 51, No. 1, 193-210 (2014). MSC: 65H10 65Y20 PDFBibTeX XMLCite \textit{J. R. Sharma} and \textit{H. Arora}, Calcolo 51, No. 1, 193--210 (2014; Zbl 1311.65052) Full Text: DOI
Dhamacharoen, Ampon An efficient hybrid method for solving systems of nonlinear equations. (English) Zbl 1301.65037 J. Comput. Appl. Math. 263, 59-68 (2014). MSC: 65H10 PDFBibTeX XMLCite \textit{A. Dhamacharoen}, J. Comput. Appl. Math. 263, 59--68 (2014; Zbl 1301.65037) Full Text: DOI
Chen, Minhong; Lin, Rongfei; Wu, Qingbiao Convergence analysis of the modified Newton-HSS method under the Hölder continuous condition. (English) Zbl 1294.65055 J. Comput. Appl. Math. 264, 115-130 (2014). MSC: 65H10 PDFBibTeX XMLCite \textit{M. Chen} et al., J. Comput. Appl. Math. 264, 115--130 (2014; Zbl 1294.65055) Full Text: DOI
Andreu, Carlos; Cambil, Noelia; Cordero, Alicia; Torregrosa, Juan R. Preliminary orbit determination of artificial satellites: a vectorial sixth-order approach. (English) Zbl 1470.65099 Abstr. Appl. Anal. 2013, Article ID 960582, 10 p. (2013). MSC: 65H10 70-08 70F15 70M20 PDFBibTeX XMLCite \textit{C. Andreu} et al., Abstr. Appl. Anal. 2013, Article ID 960582, 10 p. (2013; Zbl 1470.65099) Full Text: DOI
Wu, Qingbiao; Chen, Minhong Convergence analysis of modified Newton-HSS method for solving systems of nonlinear equations. (English) Zbl 1288.65074 Numer. Algorithms 64, No. 4, 659-683 (2013). Reviewer: Alyson Reeves (Bowie) MSC: 65H10 PDFBibTeX XMLCite \textit{Q. Wu} and \textit{M. Chen}, Numer. Algorithms 64, No. 4, 659--683 (2013; Zbl 1288.65074) Full Text: DOI
Abad, Manuel F.; Cordero, Alicia; Torregrosa, Juan R. Fourth- and fifth-order methods for solving nonlinear systems of equations: an application to the global positioning system. (English) Zbl 1275.65028 Abstr. Appl. Anal. 2013, Article ID 586708, 10 p. (2013). MSC: 65H10 68U35 PDFBibTeX XMLCite \textit{M. F. Abad} et al., Abstr. Appl. Anal. 2013, Article ID 586708, 10 p. (2013; Zbl 1275.65028) Full Text: DOI
Noor, Muhammad Aslam; Waseem, Muhammad; Noor, Khalida Inayat; Al-Said, Eisa Variational iteration technique for solving a system of nonlinear equations. (English) Zbl 1288.90093 Optim. Lett. 7, No. 5, 991-1007 (2013). MSC: 90C30 PDFBibTeX XMLCite \textit{M. A. Noor} et al., Optim. Lett. 7, No. 5, 991--1007 (2013; Zbl 1288.90093) Full Text: DOI
Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P. Pseudocomposition: A technique to design predictor-corrector methods for systems of nonlinear equations. (English) Zbl 1278.65067 Appl. Math. Comput. 218, No. 23, 11496-11504 (2012). MSC: 65H10 PDFBibTeX XMLCite \textit{A. Cordero} et al., Appl. Math. Comput. 218, No. 23, 11496--11504 (2012; Zbl 1278.65067) Full Text: DOI
Shin, Byeong-Chun; Darvishi, M. T.; Kim, Chang-Hyun A comparison of the Newton-Krylov method with high order Newton-like methods to solve nonlinear systems. (English) Zbl 1204.65055 Appl. Math. Comput. 217, No. 7, 3190-3198 (2010). MSC: 65H10 PDFBibTeX XMLCite \textit{B.-C. Shin} et al., Appl. Math. Comput. 217, No. 7, 3190--3198 (2010; Zbl 1204.65055) Full Text: DOI
Oftadeh, R.; Nikkhah-Bahrami, M.; Najafi, A. A novel cubically convergent iterative method for computing complex roots of nonlinear equations. (English) Zbl 1202.65063 Appl. Math. Comput. 217, No. 6, 2608-2618 (2010). MSC: 65H05 PDFBibTeX XMLCite \textit{R. Oftadeh} et al., Appl. Math. Comput. 217, No. 6, 2608--2618 (2010; Zbl 1202.65063) Full Text: DOI
Chen, Bilian; Xie, Yajun; Ma, Changfeng Some high order iterative methods for nonlinear equations based on the modified homotopy perturbation methods. (English) Zbl 1230.65060 Asian-Eur. J. Math. 3, No. 3, 395-408 (2010). Reviewer: Rembert Reemtsen (Cottbus) MSC: 65H20 65H05 65H10 PDFBibTeX XMLCite \textit{B. Chen} et al., Asian-Eur. J. Math. 3, No. 3, 395--408 (2010; Zbl 1230.65060) Full Text: DOI
Li, Xiaowu; Mu, Chunlai; Ma, Jinwen; Wang, Chan Sixteenth-order method for nonlinear equations. (English) Zbl 1205.65171 Appl. Math. Comput. 215, No. 10, 3754-3758 (2010). Reviewer: Przemyslaw Stpiczynski (Lublin) MSC: 65H05 PDFBibTeX XMLCite \textit{X. Li} et al., Appl. Math. Comput. 215, No. 10, 3754--3758 (2010; Zbl 1205.65171) Full Text: DOI
Babajee, D. K. R.; Dauhoo, M. Z.; Darvishi, M. T.; Karami, A.; Barati, A. Analysis of two Chebyshev-like third order methods free from second derivatives for solving systems of nonlinear equations. (English) Zbl 1204.65050 J. Comput. Appl. Math. 233, No. 8, 2002-2012 (2010). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65H10 65R20 45G10 PDFBibTeX XMLCite \textit{D. K. R. Babajee} et al., J. Comput. Appl. Math. 233, No. 8, 2002--2012 (2010; Zbl 1204.65050) Full Text: DOI
Nikkhah-Bahrami, M.; Oftadeh, R. An effective iterative method for computing real and complex roots of systems of nonlinear equations. (English) Zbl 1183.65054 Appl. Math. Comput. 215, No. 5, 1813-1820 (2009). Reviewer: Jiří Vaníček (Praha) MSC: 65H10 PDFBibTeX XMLCite \textit{M. Nikkhah-Bahrami} and \textit{R. Oftadeh}, Appl. Math. Comput. 215, No. 5, 1813--1820 (2009; Zbl 1183.65054) Full Text: DOI
Zhang, Huaren; Li, Weiguo Convergence criterion and convergence ball of the Newton-type method in Banach space. (English) Zbl 1182.65086 J. Appl. Math. Comput. 31, No. 1-2, 129-143 (2009). Reviewer: Peter Zabreiko (Minsk) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{W. Li}, J. Appl. Math. Comput. 31, No. 1--2, 129--143 (2009; Zbl 1182.65086) Full Text: DOI
Noor, Muhammad Aslam; Waseem, Muhammad Some iterative methods for solving a system of nonlinear equations. (English) Zbl 1165.65349 Comput. Math. Appl. 57, No. 1, 101-106 (2009). MSC: 65H10 65J15 PDFBibTeX XMLCite \textit{M. A. Noor} and \textit{M. Waseem}, Comput. Math. Appl. 57, No. 1, 101--106 (2009; Zbl 1165.65349) Full Text: DOI
Wang, Haijun New third-order method for solving systems of nonlinear equations. (English) Zbl 1163.65027 Numer. Algorithms 50, No. 3, 271-282 (2009). MSC: 65H10 PDFBibTeX XMLCite \textit{H. Wang}, Numer. Algorithms 50, No. 3, 271--282 (2009; Zbl 1163.65027) Full Text: DOI
Babajee, D. K. R.; Dauhoo, M. Z.; Darvishi, M. T.; Barati, A. A note on the local convergence of iterative methods based on adomian decomposition method and 3-node quadrature rule. (English) Zbl 1160.65018 Appl. Math. Comput. 200, No. 1, 452-458 (2008). Reviewer: János Karátson (Budapest) MSC: 65H10 PDFBibTeX XMLCite \textit{D. K. R. Babajee} et al., Appl. Math. Comput. 200, No. 1, 452--458 (2008; Zbl 1160.65018) Full Text: DOI
Darvishi, M. T.; Barati, A. A fourth-order method from quadrature formulae to solve systems of nonlinear equations. (English) Zbl 1118.65045 Appl. Math. Comput. 188, No. 1, 257-261 (2007). MSC: 65H10 PDFBibTeX XMLCite \textit{M. T. Darvishi} and \textit{A. Barati}, Appl. Math. Comput. 188, No. 1, 257--261 (2007; Zbl 1118.65045) Full Text: DOI