Li, Ming; Zheng, Zhoushun; Pan, Kejia; Yue, Xiaoqiang An efficient Newton multiscale multigrid method for 2D semilinear Poisson equations. (English) Zbl 1468.65219 East Asian J. Appl. Math. 10, No. 3, 620-634 (2020). MSC: 65N55 65N06 65N50 65B05 65H10 35J05 35J61 35Q20 35Q60 PDF BibTeX XML Cite \textit{M. Li} et al., East Asian J. Appl. Math. 10, No. 3, 620--634 (2020; Zbl 1468.65219) Full Text: DOI OpenURL
Pollock, Sara; Schwartz, Hunter Benchmarking results for the Newton-Anderson method. (English) Zbl 1436.65063 Results Appl. Math. 8, Article ID 100095, 10 p. (2020). MSC: 65H10 65B05 PDF BibTeX XML Cite \textit{S. Pollock} and \textit{H. Schwartz}, Results Appl. Math. 8, Article ID 100095, 10 p. (2020; Zbl 1436.65063) Full Text: DOI arXiv OpenURL
Vlček, Jan; Lukšan, Ladislav Application of the infinitely many times repeated BNS update and conjugate directions to limited-memory optimization methods. (English) Zbl 1463.65156 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 19. Proceedings of the 19th seminar (PANM), Hejnice, Czech Republic, June 24–29, 2018. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 177-185 (2019). Reviewer: Ctirad Matonoha (Praha) MSC: 65K10 90C53 49M15 90C06 PDF BibTeX XML Cite \textit{J. Vlček} and \textit{L. Lukšan}, in: Programs and algorithms of numerical mathematics 19. Proceedings of the 19th seminar (PANM), Hejnice, Czech Republic, June 24--29, 2018. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 177--185 (2019; Zbl 1463.65156) Full Text: DOI OpenURL
Scheel, Arnd; Tao, Tianyu Bifurcation to coherent structures in nonlocally coupled systems. (English) Zbl 1420.35033 J. Dyn. Differ. Equations 31, No. 3, 1107-1127 (2019). MSC: 35B32 35R11 PDF BibTeX XML Cite \textit{A. Scheel} and \textit{T. Tao}, J. Dyn. Differ. Equations 31, No. 3, 1107--1127 (2019; Zbl 1420.35033) Full Text: DOI arXiv OpenURL
Li, Minghao; Shi, Dongyang; Li, Zhenzhen; Chen, Hongru Two-level mixed finite element methods for the Navier-Stokes equations with damping. (English) Zbl 1404.65177 J. Math. Anal. Appl. 470, No. 1, 292-307 (2019). MSC: 65M60 76D05 76M10 65M15 76D07 35A15 65M12 PDF BibTeX XML Cite \textit{M. Li} et al., J. Math. Anal. Appl. 470, No. 1, 292--307 (2019; Zbl 1404.65177) Full Text: DOI OpenURL
Howk, Cory L.; Hueso, José L.; Martínez, Eulalia; Teruel, Carles A class of efficient high-order iterative methods with memory for nonlinear equations and their dynamics. (English) Zbl 1477.65081 Math. Methods Appl. Sci. 41, No. 17, 7263-7282 (2018). MSC: 65H10 65B05 49M15 PDF BibTeX XML Cite \textit{C. L. Howk} et al., Math. Methods Appl. Sci. 41, No. 17, 7263--7282 (2018; Zbl 1477.65081) Full Text: DOI Link OpenURL
Brezinski, Claude; Redivo-Zaglia, Michela; Saad, Yousef Shanks sequence transformations and Anderson acceleration. (English) Zbl 1395.65001 SIAM Rev. 60, No. 3, 646-669 (2018). Reviewer: Anton Iliev (Plovdiv) MSC: 65B05 65B99 65F10 65H10 PDF BibTeX XML Cite \textit{C. Brezinski} et al., SIAM Rev. 60, No. 3, 646--669 (2018; Zbl 1395.65001) Full Text: DOI OpenURL
Shakhno, S. M.; Iakymchuk, R. P.; Yarmola, H. P. An iterative method for solving nonlinear least squares problems with nondifferentiable operator. (English) Zbl 1414.49033 Mat. Stud. 48, No. 1, 97-107 (2017). MSC: 49M15 65B05 65H10 65K10 PDF BibTeX XML Cite \textit{S. M. Shakhno} et al., Mat. Stud. 48, No. 1, 97--107 (2017; Zbl 1414.49033) Full Text: DOI OpenURL
Li, Qing-Xiao; He, Rong-Qiang; Lu, Zhong-Yi Accelerating optimization by tracing valley. (English) Zbl 1378.65019 Comput. Phys. Commun. 203, 168-177 (2016). MSC: 65B05 65K10 49M15 PDF BibTeX XML Cite \textit{Q.-X. Li} et al., Comput. Phys. Commun. 203, 168--177 (2016; Zbl 1378.65019) Full Text: DOI OpenURL
Hauenstein, Jonathan D.; Liddell, Alan C. Certified predictor-corrector tracking for Newton homotopies. (English) Zbl 1329.65110 J. Symb. Comput. 74, 239-254 (2016). MSC: 65H20 65H10 65H04 PDF BibTeX XML Cite \textit{J. D. Hauenstein} and \textit{A. C. Liddell}, J. Symb. Comput. 74, 239--254 (2016; Zbl 1329.65110) Full Text: DOI OpenURL
Li, Jin; Yu, Dehao Numerical methods to compute hypersingular integral in boundary element methods. (Chinese. English summary) Zbl 07449372 Sci. Sin., Math. 45, No. 7, 857-872 (2015). MSC: 65M38 65N38 65D30 65B05 PDF BibTeX XML Cite \textit{J. Li} and \textit{D. Yu}, Sci. Sin., Math. 45, No. 7, 857--872 (2015; Zbl 07449372) Full Text: DOI OpenURL
Barbosa-Cendejas, Nandinii; Herrera-Aguilar, Alfredo; Kanakoglou, Konstantinos; Nucamendi, Ulises; Quiros, Israel Mass hierarchy, mass gap and corrections to Newton’s law on thick branes with Poincaré symmetry. (English) Zbl 1286.83089 Gen. Relativ. Gravitation 46, No. 1, Article ID 1631, 26 p. (2014). MSC: 83E15 83C15 81T30 83C25 PDF BibTeX XML Cite \textit{N. Barbosa-Cendejas} et al., Gen. Relativ. Gravitation 46, No. 1, Article ID 1631, 26 p. (2014; Zbl 1286.83089) Full Text: DOI arXiv OpenURL
Quarteroni, Alfio; Saleri, Fausto; Gervasio, Paola Scientific computing with MATLAB and Octave. 4th ed. (English) Zbl 1306.65001 Texts in Computational Science and Engineering 2. Berlin: Springer (ISBN 978-3-642-45366-3/hbk; 978-3-642-45367-0/ebook). xviii, 442 p. (2014). Reviewer: Robert Plato (Siegen) MSC: 65-01 65B05 65Dxx 65F05 65F10 65F15 65K10 65Lxx 65N06 65N30 65Yxx PDF BibTeX XML Cite \textit{A. Quarteroni} et al., Scientific computing with MATLAB and Octave. 4th ed. Berlin: Springer (2014; Zbl 1306.65001) Full Text: DOI OpenURL
Argyros, I. K.; Khattri, S. K. Weaker Kantorovich type criteria for inexact Newton methods. (English) Zbl 1278.65064 J. Comput. Appl. Math. 261, 103-117 (2014). MSC: 65H10 65J20 65G99 65B05 65N30 76M10 76W05 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. K. Khattri}, J. Comput. Appl. Math. 261, 103--117 (2014; Zbl 1278.65064) Full Text: DOI OpenURL
Argyros, Ioannis K. On the convergence of Newton’s method for set valued maps under weak. (English) Zbl 07488152 Korean J. Math. 20, No. 1, 117-123 (2012). MSC: 65H10 65B05 65G99 47H17 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros}, Korean J. Math. 20, No. 1, 117--123 (2012; Zbl 07488152) OpenURL
Osada, Naoki The early history of convergence acceleration methods. (English) Zbl 1242.65003 Numer. Algorithms 60, No. 2, 205-221 (2012). MSC: 65B05 65-03 01A45 PDF BibTeX XML Cite \textit{N. Osada}, Numer. Algorithms 60, No. 2, 205--221 (2012; Zbl 1242.65003) Full Text: DOI OpenURL
Oikonomou, V. K.; Kleidis, K. Testing extra dimensions with boundaries using Newton’s law modifications. (English) Zbl 1247.83115 Int. J. Mod. Phys. A 26, No. 26, 4633-4646 (2011). MSC: 83C57 83E15 83D05 PDF BibTeX XML Cite \textit{V. K. Oikonomou} and \textit{K. Kleidis}, Int. J. Mod. Phys. A 26, No. 26, 4633--4646 (2011; Zbl 1247.83115) Full Text: DOI arXiv OpenURL
Petković, Miodrag S.; Milošević, Mimica R.; Milošević, Dušan M. Efficient methods for the inclusion of polynomial zeros. (English) Zbl 1253.65071 Appl. Math. Comput. 217, No. 19, 7636-7652 (2011). MSC: 65H04 30C15 65G30 65E05 PDF BibTeX XML Cite \textit{M. S. Petković} et al., Appl. Math. Comput. 217, No. 19, 7636--7652 (2011; Zbl 1253.65071) Full Text: DOI OpenURL
Argyros, Ioannis K. Semilocal convergence of Newton’s method under a weak gamma condition. (English) Zbl 1300.65033 Adv. Nonlinear Var. Inequal. 13, No. 1, 65-73 (2010). MSC: 65J15 65B05 65H10 PDF BibTeX XML Cite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 13, No. 1, 65--73 (2010; Zbl 1300.65033) OpenURL
Petković, M. S.; Rančić, L.; Petković, L. D.; Ilić, S. Chebyshev-like root-finding methods with accelerated convergence. (English) Zbl 1224.65125 Numer. Linear Algebra Appl. 16, No. 11-12, 971-994 (2009). MSC: 65H04 30C15 65E05 PDF BibTeX XML Cite \textit{M. S. Petković} et al., Numer. Linear Algebra Appl. 16, No. 11--12, 971--994 (2009; Zbl 1224.65125) Full Text: DOI OpenURL
Argyros, Ioannis K.; Hilout, Saïd Secant-like method for solving generalized equations. (English) Zbl 1206.65167 Methods Appl. Anal. 16, No. 4, 469-478 (2009). MSC: 65K10 65G99 65H10 65B05 47H04 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{S. Hilout}, Methods Appl. Anal. 16, No. 4, 469--478 (2009; Zbl 1206.65167) Full Text: DOI Euclid OpenURL
Petković, Miodrag S. The self-validated method for polynomial zeros of high efficiency. (English) Zbl 1204.65047 J. Comput. Appl. Math. 233, No. 4, 1175-1186 (2009). Reviewer: Erwin Schechter (Moers) MSC: 65H04 65G20 PDF BibTeX XML Cite \textit{M. S. Petković}, J. Comput. Appl. Math. 233, No. 4, 1175--1186 (2009; Zbl 1204.65047) Full Text: DOI OpenURL
Coope, I. D.; Hutchinson, D. Direction-set updates for derivative-free optimization. (English) Zbl 1170.49027 Adv. Model. Optim. 11, No. 1, 33-41 (2009). MSC: 49M15 65F99 65K05 90C53 90C56 PDF BibTeX XML Cite \textit{I. D. Coope} and \textit{D. Hutchinson}, Adv. Model. Optim. 11, No. 1, 33--41 (2009; Zbl 1170.49027) OpenURL
Cho, Yeol Je; Qin, Xiaolong Systems of generalized nonlinear variational inequalities and its projection methods. (English) Zbl 1153.49009 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 12, 4443-4451 (2008). MSC: 49J40 47H04 47H06 47J25 65B05 49M15 PDF BibTeX XML Cite \textit{Y. J. Cho} and \textit{X. Qin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 12, 4443--4451 (2008; Zbl 1153.49009) Full Text: DOI OpenURL
Slevinsky, Mikael; Safouhi, Hassan Numerical treatment of a twisted tail using extrapolation methods. (English) Zbl 1151.65018 Numer. Algorithms 48, No. 4, 301-316 (2008). MSC: 65D32 41A55 65B05 PDF BibTeX XML Cite \textit{M. Slevinsky} and \textit{H. Safouhi}, Numer. Algorithms 48, No. 4, 301--316 (2008; Zbl 1151.65018) Full Text: DOI OpenURL
Dahlquist, Germund; Björck, Åke Numerical methods in scientific computing. Vol. 1. (English) Zbl 1153.65001 Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-44-3/hbk; 978-0-89871-778-5/ebook). xxvii, 717 p. (2008). Reviewer: Willy Govaerts (Gent) MSC: 65-01 65H05 65Q05 65Dxx 65Gxx 65Fxx 65C05 65C10 65B05 65T50 65Hxx 65Y15 PDF BibTeX XML Cite \textit{G. Dahlquist} and \textit{Å. Björck}, Numerical methods in scientific computing. Vol. 1. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2008; Zbl 1153.65001) Full Text: DOI OpenURL
Krause, Rolf On the multiscale solution of constrained minimization problems. (English) Zbl 1139.65308 Langer, Ulrich (ed.) et al., Domain decomposition methods in science and engineering XVII. Selected papers based on the presentations at the 17th international conference on domain decomposition methods, St. Wolfgang/Strobl, Austria, July 3–7, 2006. Berlin: Springer (ISBN 978-3-540-75198-4/pbk). Lecture Notes in Computational Science and Engineering 60, 93-104 (2008). MSC: 65K10 49J27 49M27 49M37 PDF BibTeX XML Cite \textit{R. Krause}, Lect. Notes Comput. Sci. Eng. 60, 93--104 (2008; Zbl 1139.65308) Full Text: DOI OpenURL
Verma, Ram U. General system of strongly pseudomonotone nonlinear variational inequalities based on projection systems. (English) Zbl 1137.49014 JIPAM, J. Inequal. Pure Appl. Math. 8, No. 1, Paper No. 6, 9 p. (2007). MSC: 49J40 65B05 47H20 49M15 PDF BibTeX XML Cite \textit{R. U. Verma}, JIPAM, J. Inequal. Pure Appl. Math. 8, No. 1, Paper No. 6, 9 p. (2007; Zbl 1137.49014) Full Text: EuDML EMIS OpenURL
Petković, M. S.; Rančić, L. Z. A family of root-finding methods with accelerated convergence. (English) Zbl 1134.65347 Comput. Math. Appl. 51, No. 6-7, 999-1010 (2006). MSC: 65H05 65E05 30C15 PDF BibTeX XML Cite \textit{M. S. Petković} and \textit{L. Z. Rančić}, Comput. Math. Appl. 51, No. 6--7, 999--1010 (2006; Zbl 1134.65347) Full Text: DOI OpenURL
Petković, M. S.; Milošević, D. Improved Halley-like methods for the inclusion of polynomial zeros. (English) Zbl 1084.65053 Appl. Math. Comput. 169, No. 1, 417-436 (2005). Reviewer: Nikolai L. Vulchanov (Warsaw) MSC: 65H05 30C15 65E05 65G30 PDF BibTeX XML Cite \textit{M. S. Petković} and \textit{D. Milošević}, Appl. Math. Comput. 169, No. 1, 417--436 (2005; Zbl 1084.65053) Full Text: DOI OpenURL
Verma, Ram U. \(R\)-\(KKM\) mapping theorems and solvability of generalized vector variational inequalities. (English) Zbl 1124.49301 Adv. Nonlinear Var. Inequal. 7, No. 1, 79-89 (2004). MSC: 49J40 65B05 49M15 PDF BibTeX XML Cite \textit{R. U. Verma}, Adv. Nonlinear Var. Inequal. 7, No. 1, 79--89 (2004; Zbl 1124.49301) OpenURL
Argyros, Ioannis K. A convergence analysis and applications for two-step Newton methods in Banach spaces. (English) Zbl 1082.65001 Adv. Nonlinear Var. Inequal. 7, No. 1, 59-78 (2004). MSC: 65B05 65G99 65J15 65N30 65N35 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 7, No. 1, 59--78 (2004; Zbl 1082.65001) OpenURL
Argyros, Ioannis K. A convergence analysis and applications for the Newton-Kantorovich method in \(K\)-normed spaces. (English) Zbl 1194.65077 Rend. Circ. Mat. Palermo (2) 53, No. 2, 251-271 (2004). MSC: 65J15 65B05 65H10 65N35 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros}, Rend. Circ. Mat. Palermo (2) 53, No. 2, 251--271 (2004; Zbl 1194.65077) Full Text: DOI OpenURL
Verma, Ram U. A general framework for the solvability of a class of nonlinear variational inequalities. (English) Zbl 1042.49009 Math. Inequal. Appl. 7, No. 1, 127-133 (2004). MSC: 49J40 65B05 49M15 PDF BibTeX XML Cite \textit{R. U. Verma}, Math. Inequal. Appl. 7, No. 1, 127--133 (2004; Zbl 1042.49009) Full Text: DOI OpenURL
Argyros, Ioannis K. A convergence analysis of an iterative algorithm of order \(1.839\dots\) under weak assumptions. (English) Zbl 1084.65500 Rev. Anal. Numér. Théor. Approx. 32, No. 2, 123-134 (2003). MSC: 65B05 65G99 65J15 65N30 65N35 49M15 47J25 PDF BibTeX XML Cite \textit{I. K. Argyros}, Rev. Anal. Numér. Théor. Approx. 32, No. 2, 123--134 (2003; Zbl 1084.65500) OpenURL
Verma, Ram U. A system of \(\gamma -r\)-relaxed-cocoercive nonlinear variational inequalities and projection methods. (English) Zbl 1124.49305 Adv. Nonlinear Var. Inequal. 6, No. 2, 45-54 (2003). MSC: 49J40 65B05 47J20 65J15 49M15 PDF BibTeX XML Cite \textit{R. U. Verma}, Adv. Nonlinear Var. Inequal. 6, No. 2, 45--54 (2003; Zbl 1124.49305) OpenURL
Argyros, Ioannis K. On the radius of convergence of Newton-like methods. (English) Zbl 1084.47534 Commun. Appl. Anal. 6, No. 4, 527-534 (2002). MSC: 47J25 65B05 49M15 PDF BibTeX XML Cite \textit{I. K. Argyros}, Commun. Appl. Anal. 6, No. 4, 527--534 (2002; Zbl 1084.47534) OpenURL
Ghelardoni, P.; Gheri, G.; Marletta, M. Spectral corrections for Sturm-Liouville problems. (English) Zbl 0988.65057 J. Comput. Appl. Math. 132, No. 2, 443-459 (2001). Reviewer: Nikolai L.Vulchanov (Warszawa) MSC: 65L15 34B24 34L16 65L70 34L15 PDF BibTeX XML Cite \textit{P. Ghelardoni} et al., J. Comput. Appl. Math. 132, No. 2, 443--459 (2001; Zbl 0988.65057) Full Text: DOI OpenURL
Argyros, Ioannis K. Sufficient conditions for the convergence of Newton-like methods under weak smoothness assumptions. (English) Zbl 0988.47046 Math. Sci. Res. Hot-Line 5, No. 3, 17-27 (2001). MSC: 47J25 47L05 65J15 65B05 PDF BibTeX XML Cite \textit{I. K. Argyros}, Math. Sci. Res. Hot-Line 5, No. 3, 17--27 (2001; Zbl 0988.47046) OpenURL
Argyros, Ioannis K. On an application of a Newton-like method to the approximation of implicit functions. (English) Zbl 0990.47054 Math. Sci. Res. Hot-Line 5, No. 6, 1-9 (2001). MSC: 47J25 65J15 65B05 47L05 PDF BibTeX XML Cite \textit{I. K. Argyros}, Math. Sci. Res. Hot-Line 5, No. 6, 1--9 (2001; Zbl 0990.47054) Full Text: EuDML OpenURL
Greenstadt, John Reminiscences on the development of the variational approach to Davidson’s variable-metric method. (English) Zbl 0964.65067 Math. Program. 87, No. 2 (B), 265-280 (2000). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 65K05 90C30 90C53 PDF BibTeX XML Cite \textit{J. Greenstadt}, Math. Program. 87, No. 2 (B), 265--280 (2000; Zbl 0964.65067) Full Text: DOI OpenURL
Argyros, Ioannis K. An error analysis for the midpoint method. (English) Zbl 0939.47057 Tamkang J. Math. 30, No. 2, 71-83 (1999). Reviewer: O.Vaarmann (Tallinn) MSC: 47J25 65J15 49M15 65B05 PDF BibTeX XML Cite \textit{I. K. Argyros}, Tamkang J. Math. 30, No. 2, 71--83 (1999; Zbl 0939.47057) OpenURL
Petković, M. S. Halley-like method with corrections for the inclusion of polynomial zeros. (English) Zbl 0938.65077 Computing 62, No. 1, 69-88 (1999). Reviewer: B.Döring (Düsseldorf) MSC: 65H05 12Y05 26C10 65G30 PDF BibTeX XML Cite \textit{M. S. Petković}, Computing 62, No. 1, 69--88 (1999; Zbl 0938.65077) Full Text: DOI OpenURL
Kondo, Koichi; Nakamura, Yoshimasa Newton–Steffensen–Shanks. (Japanese) Zbl 0939.65077 RIMS Kokyuroku 1020, 28-38 (1997). MSC: 65H05 65B05 PDF BibTeX XML Cite \textit{K. Kondo} and \textit{Y. Nakamura}, RIMS Kokyuroku 1020, 28--38 (1997; Zbl 0939.65077) OpenURL
Sedogbo, G. A. Some convergence acceleration processes for a class of vector sequences. (English) Zbl 0889.65003 Appl. Math. 24, No. 3, 299-306 (1997). Reviewer: A.C.Genz (Pullman) MSC: 65B05 65H10 PDF BibTeX XML Cite \textit{G. A. Sedogbo}, Appl. Math. 24, No. 3, 299--306 (1997; Zbl 0889.65003) Full Text: DOI EuDML OpenURL
Ford, William F.; Pennline, James A. Accelerated convergence in Newton’s method. (English) Zbl 0863.65026 SIAM Rev. 38, No. 4, 658-659 (1996). Reviewer: D.Braess (Bochum) MSC: 65H05 65B05 PDF BibTeX XML Cite \textit{W. F. Ford} and \textit{J. A. Pennline}, SIAM Rev. 38, No. 4, 658--659 (1996; Zbl 0863.65026) Full Text: DOI OpenURL
Larsen, Finn; Wilczek, Frank Renormalization of black hole entropy and of the gravitational coupling constant. (English) Zbl 0925.83039 Nucl. Phys., B 458, No. 1-2, 249-266 (1996). MSC: 83C57 81V17 PDF BibTeX XML Cite \textit{F. Larsen} and \textit{F. Wilczek}, Nucl. Phys., B 458, No. 1--2, 249--266 (1996; Zbl 0925.83039) Full Text: DOI arXiv OpenURL
Argyros, I. K. Generalized conditions for the convergence of inexact Newton methods on Banach spaces with a convergence structure and applications. (English) Zbl 0880.65032 PU.M.A., Pure Math. Appl. 7, No. 3-4, 197-214 (1996). MSC: 65J15 65B05 47J25 47H30 47L05 PDF BibTeX XML Cite \textit{I. K. Argyros}, PU.M.A., Pure Math. Appl. 7, No. 3--4, 197--214 (1996; Zbl 0880.65032) OpenURL
Grapsa, T. N.; Vrahatis, M. N.; Zafiropoulos, F. A. Accelerating the convergence of Newton’s approximation scheme. (English) Zbl 0881.65045 Bainov, D. (ed.), Proceedings of the sixth international colloquium on differential equations, Plovdiv, Bulgaria, August 18–23, 1995. Zeist: VSP. 87-94 (1996). MSC: 65H10 65B05 PDF BibTeX XML Cite \textit{T. N. Grapsa} et al., in: Proceedings of the sixth international colloquium on differential equations, Plovdiv, Bulgaria, August 18--23, 1995. Zeist: VSP. 87--94 (1996; Zbl 0881.65045) OpenURL
Roberts, D. E. On the algebraic foundations of the vector \(\epsilon\)-algorithm. (English) Zbl 0840.65003 Abłamowicz, Rafał (ed.) et al., Clifford algebras and spinor structures. A special volume dedicated to the memory of Albert Crumeyrolle (1919-1992). Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 321, 343-361 (1995). Reviewer: P.Wynn (Mexico) MSC: 65B05 15A66 41A05 PDF BibTeX XML Cite \textit{D. E. Roberts}, Math. Appl., Dordr. 321, 343--361 (1995; Zbl 0840.65003) OpenURL
Kjurkchiev, Nikolay On the methods for finding roots of algebraic equations with Weierstrass’ corrections. (English) Zbl 0836.65071 Numer. Math., J. Chin. Univ. 4, No. 1, 49-53 (1995). Reviewer: H.Guggenheimer (West Hempstead) MSC: 65H05 26C10 30C15 12Y05 PDF BibTeX XML Cite \textit{N. Kjurkchiev}, Numer. Math., J. Chin. Univ. 4, No. 1, 49--53 (1995; Zbl 0836.65071) OpenURL
Carstensen, Carsten; Petković, Miodrag S. An improvement of Gargantini’s simultaneous inclusion method for polynomial roots by Schröder’s correction. (English) Zbl 0793.65037 Appl. Numer. Math. 13, No. 6, 453-468 (1994). Reviewer: C.Bendtsen (Lyngby) MSC: 65H05 65Y20 65G30 26C10 12Y05 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{M. S. Petković}, Appl. Numer. Math. 13, No. 6, 453--468 (1994; Zbl 0793.65037) Full Text: DOI OpenURL
Han, W.; Potra, F. A. Convergence acceleration for some rootfinding methods. (English) Zbl 0811.65037 Albrecht, R. (ed.) et al., Validation numerics: theory and applications. Dedicated to Ulrich Kulisch on the occasion of his 60th birthday. Wien: Springer-Verlag. Comput. Suppl. 9, 67-78 (1993). Reviewer: V.Seppälä (Linnanmaa) MSC: 65H05 65B05 PDF BibTeX XML Cite \textit{W. Han} and \textit{F. A. Potra}, Comput. Suppl. 9, 67--78 (1993; Zbl 0811.65037) OpenURL
Petković, M. S.; Stefanović, L. V.; Marjanović, Z. M. A family of simultaneous zero finding methods. (English) Zbl 0756.65075 Int. J. Comput. Math. 43, No. 1-2, 111-126 (1992). Reviewer: V.A.Kostova (Russe) MSC: 65H05 30C15 12Y05 PDF BibTeX XML Cite \textit{M. S. Petković} et al., Int. J. Comput. Math. 43, No. 1--2, 111--126 (1992; Zbl 0756.65075) Full Text: DOI OpenURL
Osada, Naoki Extensions of Levin’s transformations to vector sequences. (English) Zbl 0759.65001 Numer. Algorithms 2, No. 2, 121-131 (1992). Reviewer: J.Gilewicz (Marseille) MSC: 65B05 PDF BibTeX XML Cite \textit{N. Osada}, Numer. Algorithms 2, No. 2, 121--131 (1992; Zbl 0759.65001) Full Text: DOI OpenURL
Argyros, Ioannis K. On a new iteration for finding “almost” all solutions of the quadratic equation in Banach space. (English) Zbl 0850.47021 Stud. Sci. Math. Hung. 27, No. 3-4, 361-368 (1992). MSC: 47J25 65J15 49M15 65B05 PDF BibTeX XML Cite \textit{I. K. Argyros}, Stud. Sci. Math. Hung. 27, No. 3--4, 361--368 (1992; Zbl 0850.47021) OpenURL
Argyros, Ioannis K. A Newton-like method for solving nonlinear equations in Banach space. (English) Zbl 0687.47052 Stud. Sci. Math. Hung. 27, No. 3-4, 369-378 (1992). Reviewer: I.K.Argyros MSC: 47J25 65J15 49M15 65B05 PDF BibTeX XML Cite \textit{I. K. Argyros}, Stud. Sci. Math. Hung. 27, No. 3--4, 369--378 (1992; Zbl 0687.47052) OpenURL
Argyros, I. K.; Tabatabai, M. A. On a Stirling-like method. (English) Zbl 0807.47053 J. Math., Punjab Univ. 25, 83-94 (1992). MSC: 47J25 65J15 65B05 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{M. A. Tabatabai}, J. Math., Punjab Univ. 25, 83--94 (1992; Zbl 0807.47053) OpenURL
Argyros, I. K.; Tabatabai, M. A. Approximating Newton-like iterations in Banach space. (English) Zbl 0810.47056 J. Math., Punjab Univ. 25, 49-59 (1992). MSC: 47J25 65J15 47A50 47L05 65B05 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{M. A. Tabatabai}, J. Math., Punjab Univ. 25, 49--59 (1992; Zbl 0810.47056) OpenURL
Argyros, Ioannis K. On some projection methods for solving nonlinear operator equations with a nondifferentiable term. (English) Zbl 0763.47035 Rev. Acad. Ci. Exactas Fís.-Quím. Nat. Zaragoza, II. Ser. 46, 17-24 (1991). Reviewer: I.K.Argyros (Lawton) MSC: 47J25 65J15 49M15 65B05 PDF BibTeX XML Cite \textit{I. K. Argyros}, Rev. Acad. Ci. Exactas Fís. Quím. Nat. Zaragoza, II. Ser. 46, 17--24 (1991; Zbl 0763.47035) OpenURL
Petković, M. S.; Marjanović, Z. M. A class of simultaneous methods for the zeros of analytic functions. (English) Zbl 0753.65041 Comput. Math. Appl. 22, No. 10, 79-87 (1991). Reviewer: P.Y.Yalamov (Russe) MSC: 65H05 65E05 65Y20 30C15 PDF BibTeX XML Cite \textit{M. S. Petković} and \textit{Z. M. Marjanović}, Comput. Math. Appl. 22, No. 10, 79--87 (1991; Zbl 0753.65041) Full Text: DOI OpenURL
Walz, Guido Asymptotic expansions and acceleration of convergence for higher order iteration processes. (English) Zbl 0733.65001 Numer. Math. 59, No. 5, 529-540 (1991). Reviewer: Guido Walz MSC: 65B05 40A25 PDF BibTeX XML Cite \textit{G. Walz}, Numer. Math. 59, No. 5, 529--540 (1991; Zbl 0733.65001) Full Text: DOI EuDML OpenURL
Osada, Naoki Acceleration methods for vector sequences. (English) Zbl 0754.65003 J. Comput. Appl. Math. 38, No. 1-3, 361-371 (1991). Reviewer: G.Dimitriu (Iaşi) MSC: 65B05 PDF BibTeX XML Cite \textit{N. Osada}, J. Comput. Appl. Math. 38, No. 1--3, 361--371 (1991; Zbl 0754.65003) Full Text: DOI OpenURL
Mei, Z. A Newton-like method for simple bifurcation problems with application to large sparse systems. (English) Zbl 0712.65040 Continuation and bifurcations: Numerical techniques and applications, Proc. NATO Adv. Res. Workshop, Leuven/Belg. 1989, NATO ASI Ser., Ser. C 313, 247-259 (1990). Reviewer: S.Grzegórski MSC: 65H17 65H10 PDF BibTeX XML OpenURL
Schmidt, Phillip H. PL methods for constructing a numerical implicit function. (English) Zbl 0695.65028 Computational solution of nonlinear systems of equations, Proc. SIAM-AMS Summer Semin., Ft. Collins/CO (USA) 1988, Lect. Appl. Math. 26, 573-585 (1990). Reviewer: E.Allgower MSC: 65H10 58C15 PDF BibTeX XML OpenURL
Argyros, Ioannis K. On a new iteration for finding “almost” all solutions of the quadratic equation in Banach space. (English) Zbl 0687.47053 Stud. Sci. Math. Hung. (to appear). Reviewer: I.K.Argyros MSC: 47J25 65J15 49M15 65B05 PDF BibTeX XML OpenURL
Schumacher, G. Lösung nichtlinearer Gleichungen mit Verifikation des Ergebnisses. (Solution of nonlinear equations with result verification). (German) Zbl 0687.65053 Wissenschaftliches Rechnen mit Ergebnisverifikation, Math. Res. 58, 137-154 (1989). Reviewer: G.Mayer MSC: 65H10 65G30 PDF BibTeX XML OpenURL
Böhmer, Klaus; Schmitt, Bernhard A. Highly accurate solutions of the Hartree-Fock equations via defect corrections. (English) Zbl 0676.65131 Numerical treatment of differential equations, Sel. Pap. 4th Int. Semin. NUMDIFF, Halle-Wittenberg/GDR 1987, Teubner-Texte Math. 104, 289-294 (1988). Reviewer: T.C.Mohan MSC: 65Z05 65N25 81Q05 35Q99 PDF BibTeX XML OpenURL
Schmitt, Bernhard A. Defektkorrekturen für Eigen-Randwertprobleme auf unendlichen Intervallen am Beispiel der Hartree-Fock-Gleichungen für Atome. (Defect corrections for eigen-boundary value problems on infinite intervals for the example of the Hartree-Fock equations for atoms.). (German) Zbl 0649.65049 Marburg (FRG): Univ. Marburg, Fachbereich Mathematik, Habilitationsschr. 89 S. (1988). Reviewer: B.A.Schmitt MSC: 65L15 65N25 65B05 65Z05 81Q05 34L99 35P15 35Q99 PDF BibTeX XML OpenURL
Petković, M. S.; Stefanović, L. V. On some parallel higher-order methods of Halley’s type for finding multiple polynomial zeros. (English) Zbl 0643.65022 Numerical methods and approximation theory III, 3rd Conf., Niš/Yugosl. 1987(1988), 329-337 (1988). MSC: 65H05 65Y05 30C15 PDF BibTeX XML OpenURL
Argyros, Ioannis K. Newton-like methods under mild differentiability conditions with error analysis. (English) Zbl 0629.65061 Bull. Aust. Math. Soc. 37, No. 1, 131-147 (1988). Reviewer: Simeon Reich MSC: 65J15 47J25 65B05 65L50 65M50 PDF BibTeX XML Cite \textit{I. K. Argyros}, Bull. Aust. Math. Soc. 37, No. 1, 131--147 (1988; Zbl 0629.65061) Full Text: DOI OpenURL
Förster, K.-J. Über Monotonie und Fehlerkontrolle bei den Gregoryschen Quadraturverfahren. (Monotonicity and error control in Gregory’s quadrature methods). (German) Zbl 0629.65022 Z. Angew. Math. Mech. 67, 257-266 (1987). Reviewer: H.Engels MSC: 65D32 65B05 41A55 PDF BibTeX XML Cite \textit{K. J. Förster}, Z. Angew. Math. Mech. 67, 257--266 (1987; Zbl 0629.65022) Full Text: DOI OpenURL
Schulze, R. A method to solve systems of nonlinear equations with singularities. (English) Zbl 0612.65027 Z. Angew. Math. Mech. 67, 121-128 (1987). Reviewer: W.Niethammer MSC: 65H10 65B05 PDF BibTeX XML Cite \textit{R. Schulze}, Z. Angew. Math. Mech. 67, 121--128 (1987; Zbl 0612.65027) Full Text: DOI OpenURL
Petković, M. S.; Stefanović, L. V. On some improvements of square root iteration for polynomial complex zeros. (English) Zbl 0625.65038 J. Comput. Appl. Math. 15, 13-25 (1986). Reviewer: M.Reimer MSC: 65H05 30C15 PDF BibTeX XML Cite \textit{M. S. Petković} and \textit{L. V. Stefanović}, J. Comput. Appl. Math. 15, 13--25 (1986; Zbl 0625.65038) Full Text: DOI OpenURL
Kelley, C. T. A Shamanskii-like acceleration scheme for nonlinear equations at singular roots. (English) Zbl 0613.65062 Math. Comput. 47, 609-623 (1986). Reviewer: J.Kolomý MSC: 65J15 65H10 65B05 47J25 PDF BibTeX XML Cite \textit{C. T. Kelley}, Math. Comput. 47, 609--623 (1986; Zbl 0613.65062) Full Text: DOI Link OpenURL
Allgower, E. L.; Böhmer, K.; Potra, F. A.; Rheinboldt, W. C. A mesh-independence principle for operator equations and their discretizations. (English) Zbl 0591.65043 SIAM J. Numer. Anal. 23, 160-169 (1986). Reviewer: G.Vainikko MSC: 65J15 65B05 65L50 65M50 PDF BibTeX XML Cite \textit{E. L. Allgower} et al., SIAM J. Numer. Anal. 23, 160--169 (1986; Zbl 0591.65043) Full Text: DOI OpenURL
McCabe, J. H.; Phillips, G. M. Aitken sequences and generalized Fibonacci numbers. (English) Zbl 0581.10005 Math. Comput. 45, 553-558 (1985). Reviewer: M.G.de Bruin MSC: 11B39 65B05 PDF BibTeX XML Cite \textit{J. H. McCabe} and \textit{G. M. Phillips}, Math. Comput. 45, 553--558 (1985; Zbl 0581.10005) Full Text: DOI OpenURL
Boerstoel, J. W.; Kassies, A. On the integration of multigrid relaxation into a robust fast-solver for transonic potential flows around lifting airfoils. (English) Zbl 0598.76066 Topics in applied numerical analysis, Colloq. Amsterdam 1983/84, Vol. 1, CWI Syllabus 4, 107-148 (1984). MSC: 76H05 76B10 76M99 PDF BibTeX XML OpenURL
Böhmer, K.; Hemker, P.; Stetter, H. J. The defect correction approach. (English) Zbl 0551.65034 Defect correction methods. Theory and applications, Comput. Suppl. 5, 1-32 (1984). Reviewer: E.Allgower MSC: 65H10 65B05 65J15 65L10 PDF BibTeX XML OpenURL
Allgower, E.; Böhmer, K.; McCormick, S. Discrete defect corrections: basic ideas. (English) Zbl 0532.65055 Z. Angew. Math. Mech. 63, 371-377 (1983). Reviewer: V.Pereyra MSC: 65L10 65L50 65J15 34B15 PDF BibTeX XML Cite \textit{E. Allgower} et al., Z. Angew. Math. Mech. 63, 371--377 (1983; Zbl 0532.65055) Full Text: DOI OpenURL
King, R. F. Improving the Van de Vel root-finding method. (English) Zbl 0504.65027 Computing 30, 373-378 (1983). MSC: 65H05 65B05 PDF BibTeX XML Cite \textit{R. F. King}, Computing 30, 373--378 (1983; Zbl 0504.65027) Full Text: DOI OpenURL
Zyvoloski, George Finite element methods for geothermal reservoir simulation. (English) Zbl 0503.73084 Int. J. Numer. Anal. Methods Geomech. 7, 75-86 (1983). MSC: 74L10 80A20 74S05 49M15 74S99 74-04 PDF BibTeX XML Cite \textit{G. Zyvoloski}, Int. J. Numer. Anal. Methods Geomech. 7, 75--86 (1983; Zbl 0503.73084) Full Text: DOI OpenURL
Milovanovic, G. V.; Petkovic, M. S. On the convergence order of a modified method for simultaneous finding polynomial zeros. (English) Zbl 0499.65025 Computing 30, 171-178 (1983). MSC: 65H05 30C15 PDF BibTeX XML Cite \textit{G. V. Milovanovic} and \textit{M. S. Petkovic}, Computing 30, 171--178 (1983; Zbl 0499.65025) Full Text: DOI OpenURL
Hemker, P. W. The defect correction principle. (English) Zbl 0517.65034 An introduction to computational and asymptotic methods for boundary and interior layers, Lect. Notes BAIL II Conf., Dublin 1982, Boole Press Adv. Numer. Comput. Ser. 4, 11-32 (1982). MSC: 65J05 65B05 PDF BibTeX XML OpenURL
Boehmer, Klaus Asymptotic error expansions and discrete Newton methods for elliptic boundary value problems. (English) Zbl 0495.65046 Numerical integration of differential equations and large linear systems, Proc. Workshops, Bielefeld 1980, Lect. Notes Math. 968, 292-300 (1982). MSC: 65N15 65N12 35J65 65B05 PDF BibTeX XML OpenURL
Ortloff, Hartmut Newton-Verfahren mit quadratischer Korrektur. (German) Zbl 0494.65025 Wiss. Z. Tech. Hochsch. Otto von Guericke 26, No. 3, 25-28 (1982). MSC: 65H10 65B05 PDF BibTeX XML Cite \textit{H. Ortloff}, Wiss. Z. Tech. Hochsch. Otto von Guericke 26, No. 3, 25--28 (1982; Zbl 0494.65025) OpenURL
van der Houwen, P. J.; de Vries, H. B. Preconditioning and coarse grid corrections in the solution of the initial value problem for nonlinear partial differential equations. (English) Zbl 0488.65040 SIAM J. Sci. Stat. Comput. 3, 473-485 (1982). MSC: 65M20 65L05 35K55 35L70 65H10 65F10 PDF BibTeX XML Cite \textit{P. J. van der Houwen} and \textit{H. B. de Vries}, SIAM J. Sci. Stat. Comput. 3, 473--485 (1982; Zbl 0488.65040) Full Text: DOI OpenURL
Constantinescu, V. N.; Bucur, S. C. On the possibilities of improving numerical methods for subsonic and transonic flows around airfoils. (English) Zbl 0481.76065 Rev. Roum. Sci. Tech., Ser. Mec. Appl. 26, 659-671 (1981). MSC: 76H05 76B10 76M99 PDF BibTeX XML Cite \textit{V. N. Constantinescu} and \textit{S. C. Bucur}, Rev. Roum. Sci. Tech., Sér. Méc. Appl. 26, 659--671 (1981; Zbl 0481.76065) OpenURL
Vata, P. Approximate solution of nonlinear Volterra integral equations. (English) Zbl 0471.45010 An. Stiint. Univ. Al. I. Cuza Iasi, N. Ser., Sect. Ia 27, 381-392 (1981). MSC: 45L05 45G10 PDF BibTeX XML OpenURL
Mühlbach, G. On two general algorithms for extrapolation with applications to numerical differentiation and integration. (English) Zbl 0468.65009 Pade approximation and its applications, Proc. Conf., Amsterdam 1980, Lect. Notes Math. 888, 326-340 (1981). MSC: 65D05 65D32 65D25 41A05 65B05 41A55 PDF BibTeX XML OpenURL
Havie, Tore Remarks on a unified theory for classical and generalized interpolation and extrapolation. (English) Zbl 0468.65007 BIT 21, 465-474 (1981). MSC: 65D05 41A05 65B05 PDF BibTeX XML Cite \textit{T. Havie}, BIT 21, 465--474 (1981; Zbl 0468.65007) Full Text: DOI OpenURL
Cole, Lee A. On ”Theory and method for accelerating the convergence of self-consistent electronic structure calculations”. (English) Zbl 0465.65032 J. Comput. Phys. 41, 200-202 (1981). MSC: 65H10 65B05 65Z05 PDF BibTeX XML Cite \textit{L. A. Cole}, J. Comput. Phys. 41, 200--202 (1981; Zbl 0465.65032) Full Text: DOI OpenURL
Böhmer, Klaus Discrete Newton methods and iterated defect corrections. (English) Zbl 0459.65035 Numer. Math. 37, 167-192 (1981). MSC: 65J05 65B05 65L05 65L10 65R20 PDF BibTeX XML Cite \textit{K. Böhmer}, Numer. Math. 37, 167--192 (1981; Zbl 0459.65035) Full Text: DOI EuDML OpenURL
Bank, R. E.; Rose, D. J. Parameter selection for Newton-like methods applicable to nonlinear partial differential equations. (English) Zbl 0466.65057 SIAM J. Numer. Anal. 17, 806-822 (1980). MSC: 65N30 65H10 65N22 35J65 35Q99 PDF BibTeX XML Cite \textit{R. E. Bank} and \textit{D. J. Rose}, SIAM J. Numer. Anal. 17, 806--822 (1980; Zbl 0466.65057) Full Text: DOI OpenURL
van der Houwen, P. J.; de Vries, H. B. Preconditioning and coarse grid corrections in the solution of the initial value problem for nonlinear partial differential equations. (English) Zbl 0443.65067 Math. Cent., Amst., Afd. Numer. Wiskd. NW 95/80, 22 p. (1980). MSC: 65M20 35K55 35L70 65H10 65F10 PDF BibTeX XML OpenURL
Lawther, R. Modification of iterative processes for improved convergence characteristics. (English) Zbl 0437.65004 Int. J. Numer. Methods Eng. 15, 1149-1159 (1980). MSC: 65B05 65F10 65H10 PDF BibTeX XML Cite \textit{R. Lawther}, Int. J. Numer. Methods Eng. 15, 1149--1159 (1980; Zbl 0437.65004) Full Text: DOI OpenURL
Böhmer, Klaus; Fleischmann, Hans-Jürgen Self-adaptive discrete Newton methods for Runge-Kutta methods. (English) Zbl 0426.65029 Numerische Methoden der Approximationstheorie, Bd. 5, Tag. Oberwolfach 1979, ISNM Vol. 52, 28-48 (1980). MSC: 65L05 PDF BibTeX XML OpenURL
King, Richard F. An extrapolation method of order four for linear sequences. (English) Zbl 0411.65001 SIAM J. Numer. Anal. 16, 719-725 (1979). MSC: 65B05 40A05 65H05 PDF BibTeX XML Cite \textit{R. F. King}, SIAM J. Numer. Anal. 16, 719--725 (1979; Zbl 0411.65001) Full Text: DOI OpenURL