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Schreiber, R.; Keller, H. B. Driven cavity flows by efficient numerical techniques. (English) Zbl 0503.76040 J. Comput. Phys. 49, 310-333 (1983). MSC: 76D05 76M99 PDFBibTeX XMLCite \textit{R. Schreiber} and \textit{H. B. Keller}, J. Comput. Phys. 49, 310--333 (1983; Zbl 0503.76040) Full Text: DOI
Bank, Randolph E.; Dupont, Todd An optimal order process for solving finite element equations. (English) Zbl 0466.65059 Math. Comput. 36, 35-51 (1981). MSC: 65N30 65N22 65H10 65F10 35J65 PDFBibTeX XMLCite \textit{R. E. Bank} and \textit{T. Dupont}, Math. Comput. 36, 35--51 (1981; Zbl 0466.65059) Full Text: DOI
Nashed, M. Z.; Chen, X. Convergence of Newton-like methods for singular operator equations using outer inverses. (English) Zbl 0797.65047 Numer. Math. 66, No. 2, 235-257 (1993). Reviewer: W.C.Rheinboldt (Pittsburgh) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{M. Z. Nashed} and \textit{X. Chen}, Numer. Math. 66, No. 2, 235--257 (1993; Zbl 0797.65047) Full Text: DOI EuDML
Ulbrich, Michael Semismooth Newton methods for operator equations in function spaces. (English) Zbl 1033.49039 SIAM J. Optim. 13, No. 3, 805-841 (2003). MSC: 49M15 65K05 90C33 49J52 47J25 47H30 PDFBibTeX XMLCite \textit{M. Ulbrich}, SIAM J. Optim. 13, No. 3, 805--841 (2003; Zbl 1033.49039) Full Text: DOI
Frankel, Pierre; Garrigos, Guillaume; Peypouquet, Juan Splitting methods with variable metric for Kurdyka-Łojasiewicz functions and general convergence rates. (English) Zbl 1316.49039 J. Optim. Theory Appl. 165, No. 3, 874-900 (2015). MSC: 49M37 49M15 90C26 90C30 65K10 PDFBibTeX XMLCite \textit{P. Frankel} et al., J. Optim. Theory Appl. 165, No. 3, 874--900 (2015; Zbl 1316.49039) Full Text: DOI arXiv
Yamamoto, Tetsuro A convergence theorem for Newton-like methods in Banach spaces. (English) Zbl 0633.65049 Numer. Math. 51, 545-557 (1987). Reviewer: J.Kolomý MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{T. Yamamoto}, Numer. Math. 51, 545--557 (1987; Zbl 0633.65049) Full Text: DOI EuDML
Ypma, T. J. Local convergence of inexact Newton methods. (English) Zbl 0566.65037 SIAM J. Numer. Anal. 21, 583-590 (1984). Reviewer: B.Döring MSC: 65H10 PDFBibTeX XMLCite \textit{T. J. Ypma}, SIAM J. Numer. Anal. 21, 583--590 (1984; Zbl 0566.65037) Full Text: DOI
Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Wu, Yuchen Sample size selection in optimization methods for machine learning. (English) Zbl 1252.49044 Math. Program. 134, No. 1 (B), 127-155 (2012). MSC: 49M15 49M37 65K05 68T05 90C30 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., Math. Program. 134, No. 1 (B), 127--155 (2012; Zbl 1252.49044) Full Text: DOI
Argyros, Ioannis K.; Cho, Yeaol Je; Hilout, Saïd Numerical methods for equations and its applications. (English) Zbl 1254.65068 Boca Raton, FL: CRC Press (ISBN 978-1-57808-753-2/hbk; 978-1-46-651711-0/ebook). viii, 465 p. (2012). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65J15 65K15 65-02 47J25 49J40 65R20 45G10 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Numerical methods for equations and its applications. Boca Raton, FL: CRC Press (2012; Zbl 1254.65068)
Potra, Florian-Alexandru Sharp error bounds for a class of Newton-like methods. (English) Zbl 0581.47050 Libertas Math. 5, 71-84 (1985). Reviewer: A.Varga MSC: 47J25 65J15 49M15 PDFBibTeX XMLCite \textit{F.-A. Potra}, Libertas Math. 5, 71--84 (1985; Zbl 0581.47050)
Parida, P. K.; Gupta, D. K. Recurrence relations for a Newton-like method in Banach spaces. (English) Zbl 1119.47063 J. Comput. Appl. Math. 206, No. 2, 873-887 (2007). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 47J25 65J15 47H10 41A25 65Q05 PDFBibTeX XMLCite \textit{P. K. Parida} and \textit{D. K. Gupta}, J. Comput. Appl. Math. 206, No. 2, 873--887 (2007; Zbl 1119.47063) Full Text: DOI
Wu, Xinyuan A new continuation Newton-like method and its deformation. (English) Zbl 1023.65043 Appl. Math. Comput. 112, No. 1, 75-78 (2000). MSC: 65H05 65H20 PDFBibTeX XMLCite \textit{X. Wu}, Appl. Math. Comput. 112, No. 1, 75--78 (2000; Zbl 1023.65043) Full Text: DOI
Chun, Changbum Construction of Newton-like iteration methods for solving nonlinear equations. (English) Zbl 1126.65042 Numer. Math. 104, No. 3, 297-315 (2006). MSC: 65H05 65H20 PDFBibTeX XMLCite \textit{C. Chun}, Numer. Math. 104, No. 3, 297--315 (2006; Zbl 1126.65042) Full Text: DOI
Morini, Benedetta Convergence behaviour of inexact Newton methods. (English) Zbl 0933.65050 Math. Comput. 68, No. 228, 1605-1613 (1999). Reviewer: V.Berinde (Baia Mare) MSC: 65H10 PDFBibTeX XMLCite \textit{B. Morini}, Math. Comput. 68, No. 228, 1605--1613 (1999; Zbl 0933.65050) Full Text: DOI
Dennis, J. E. jun. On Newton-like methods. (English) Zbl 0165.17303 Numer. Math. 11, 324-330 (1968). Reviewer: W. Rheinboldt MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{J. E. Dennis jun.}, Numer. Math. 11, 324--330 (1968; Zbl 0165.17303) Full Text: DOI EuDML
Pönisch, G.; Schwetlick, H. Computing turning points of curves implicitly defined by nonlinear equations depending on a parameter. (English) Zbl 0463.65036 Computing 26, 107-121 (1981). MSC: 65H10 65H17 PDFBibTeX XMLCite \textit{G. Pönisch} and \textit{H. Schwetlick}, Computing 26, 107--121 (1981; Zbl 0463.65036) Full Text: DOI
Iri, Masao; Imai, Hiroshi A multiplicative barrier function method for linear programming. (English) Zbl 0641.90048 Algorithmica 1, 455-482 (1986). Reviewer: J.Parida MSC: 90C05 49M15 65K05 PDFBibTeX XMLCite \textit{M. Iri} and \textit{H. Imai}, Algorithmica 1, 455--482 (1986; Zbl 0641.90048) Full Text: DOI
Jäger, Willi; Kačur, Jozef Solution of porous medium type systems by linear approximation schemes. (English) Zbl 0744.65060 Numer. Math. 60, No. 3, 407-427 (1991). Reviewer: P.K.Mahanti (Ranchi) MSC: 65M20 65M12 35K65 76S05 PDFBibTeX XMLCite \textit{W. Jäger} and \textit{J. Kačur}, Numer. Math. 60, No. 3, 407--427 (1991; Zbl 0744.65060) Full Text: DOI EuDML
Wu, Li; Allen, Myron B. Two-grid methods for mixed finite-element solution of coupled reaction-diffusion systems. (English) Zbl 0942.65106 Numer. Methods Partial Differ. Equations 15, No. 5, 589-604 (1999). Reviewer: H.Marcinkowska (Wrocław) MSC: 65M55 65H10 35K57 65M60 PDFBibTeX XMLCite \textit{L. Wu} and \textit{M. B. Allen}, Numer. Methods Partial Differ. Equations 15, No. 5, 589--604 (1999; Zbl 0942.65106) Full Text: DOI
He, Jihuan Newton-like iteration method for solving algebraic equations. (English) Zbl 0918.65034 Commun. Nonlinear Sci. Numer. Simul. 3, No. 2, 106-109 (1998). MSC: 65H05 65H20 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{J. He}, Commun. Nonlinear Sci. Numer. Simul. 3, No. 2, 106--109 (1998; Zbl 0918.65034) Full Text: DOI
Chen, Jinhai; Li, Weiguo Convergence behaviour of inexact Newton methods under weak Lipschitz condition. (English) Zbl 1092.65043 J. Comput. Appl. Math. 191, No. 1, 143-164 (2006). Reviewer: Iulian Coroian (Baia Mare) MSC: 65H10 PDFBibTeX XMLCite \textit{J. Chen} and \textit{W. Li}, J. Comput. Appl. Math. 191, No. 1, 143--164 (2006; Zbl 1092.65043) Full Text: DOI
Rump, Siegfried M. Computational error bounds for multiple or nearly multiple eigenvalues. (English) Zbl 0986.65031 Linear Algebra Appl. 324, No. 1-3, 209-226 (2001). Reviewer: Stanislav Míka (Plzeň) MSC: 65F15 65G20 65F50 PDFBibTeX XMLCite \textit{S. M. Rump}, Linear Algebra Appl. 324, No. 1--3, 209--226 (2001; Zbl 0986.65031) Full Text: DOI
Argyros, I. K. Local convergence of inexact Newton-like iterative methods and applications. (English) Zbl 0976.65054 Comput. Math. Appl. 39, No. 1-2, 69-75 (2000). Reviewer: Etienne Emmrich (Berlin) MSC: 65J15 47J25 34B15 65L12 65L10 PDFBibTeX XMLCite \textit{I. K. Argyros}, Comput. Math. Appl. 39, No. 1--2, 69--75 (2000; Zbl 0976.65054) Full Text: DOI
Argyros, Ioannis K. On a class of Newton-like methods for solving nonlinear equations. (English) Zbl 1168.65349 J. Comput. Appl. Math. 228, No. 1, 115-122 (2009). MSC: 65J15 65K10 65G99 65J99 49M15 49J53 47J20 47H04 PDFBibTeX XMLCite \textit{I. K. Argyros}, J. Comput. Appl. Math. 228, No. 1, 115--122 (2009; Zbl 1168.65349) Full Text: DOI
Hoschek, J. Intrinsic parametrization for approximation. (English) Zbl 0644.65011 Comput. Aided Geom. Des. 5, No. 1, 27-31 (1988). Reviewer: L.Gatteschi MSC: 65D15 53A04 53A05 PDFBibTeX XMLCite \textit{J. Hoschek}, Comput. Aided Geom. Des. 5, No. 1, 27--31 (1988; Zbl 0644.65011) Full Text: DOI
Moore, Gerald The numerical treatment of non-trivial bifurcation points. (English) Zbl 0459.65040 Numer. Funct. Anal. Optimization 2, 441-472 (1980). MSC: 65J15 47J25 58E05 PDFBibTeX XMLCite \textit{G. Moore}, Numer. Funct. Anal. Optim. 2, 441--472 (1980; Zbl 0459.65040) Full Text: DOI
Chan, R. H.; Chung, H. L.; Xu, S.-F. The inexact Newton-like method for inverse eigenvalue problem. (English) Zbl 1029.65036 BIT 43, No. 1, 7-20 (2003). Reviewer: Amin Boumenir (Carrollton) MSC: 65F18 65F10 PDFBibTeX XMLCite \textit{R. H. Chan} et al., BIT 43, No. 1, 7--20 (2003; Zbl 1029.65036) Full Text: DOI
Watanabe, Yoshitaka; Nakao, Mitsuhiro T. Numerical verifications of solutions for nonlinear elliptic equations. (English) Zbl 0784.65082 Japan J. Ind. Appl. Math. 10, No. 1, 165-178 (1993). Reviewer: H.P.Dikshit (Jabalpur) MSC: 65N30 65H10 65N12 35J65 PDFBibTeX XMLCite \textit{Y. Watanabe} and \textit{M. T. Nakao}, Japan J. Ind. Appl. Math. 10, No. 1, 165--178 (1993; Zbl 0784.65082) Full Text: DOI
Parida, P. K.; Gupta, D. K. Recurrence relations for semilocal convergence of a Newton-like method in Banach spaces. (English) Zbl 1160.65024 J. Math. Anal. Appl. 345, No. 1, 350-361 (2008). Reviewer: János Karátson (Budapest) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{P. K. Parida} and \textit{D. K. Gupta}, J. Math. Anal. Appl. 345, No. 1, 350--361 (2008; Zbl 1160.65024) Full Text: DOI
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 PDFBibTeX XMLCite \textit{I. K. Argyros}, Bull. Aust. Math. Soc. 37, No. 1, 131--147 (1988; Zbl 0629.65061) Full Text: DOI
Li, Chong; Shen, Weiping Local convergence of inexact methods under the Hölder condition. (English) Zbl 1181.65082 J. Comput. Appl. Math. 222, No. 2, 544-560 (2008). Reviewer: Otu Vaarmann (Tallinn) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{C. Li} and \textit{W. Shen}, J. Comput. Appl. Math. 222, No. 2, 544--560 (2008; Zbl 1181.65082) Full Text: DOI
Enright, W. H.; Kamel, M. S. Automatic partitioning of stiff systems and exploiting the resulting structure. (English) Zbl 0429.65061 ACM Trans. Math. Softw. 5, 374-385 (1979). MSC: 65L05 65H10 PDFBibTeX XMLCite \textit{W. H. Enright} and \textit{M. S. Kamel}, ACM Trans. Math. Softw. 5, 374--385 (1979; Zbl 0429.65061) Full Text: DOI
Guo, Chun-Hua; Laub, Alan J. On a Newton-like method for solving algebraic Riccati equations. (English) Zbl 0965.65067 SIAM J. Matrix Anal. Appl. 21, No. 2, 694-698 (2000). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 15A24 93B40 PDFBibTeX XMLCite \textit{C.-H. Guo} and \textit{A. J. Laub}, SIAM J. Matrix Anal. Appl. 21, No. 2, 694--698 (2000; Zbl 0965.65067) Full Text: DOI
Mühlbach, G. The general recurrence relation for divided differences and the general Newton-interpolation-algorithm. With applications to trigonometric interpolation. (English) Zbl 0427.65004 Numer. Math. 32, 393-408 (1979). MSC: 65D05 41A05 42A15 65T40 65Q05 PDFBibTeX XMLCite \textit{G. Mühlbach}, Numer. Math. 32, 393--408 (1979; Zbl 0427.65004) Full Text: DOI EuDML
Argyros, I. K.; Khattri, S. K. Local convergence for a family of third order methods in Banach spaces. (English) Zbl 1316.65052 J. Math., Punjab Univ. 46, No. 2, 53-62 (2014). MSC: 65H10 65G99 65K10 47H07 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. K. Khattri}, J. Math., Punjab Univ. 46, No. 2, 53--62 (2014; Zbl 1316.65052) Full Text: Link
Wu, Li Two-grid mixed finite-element methods for nonlinear Schrödinger equations. (English) Zbl 1252.65171 Numer. Methods Partial Differ. Equations 28, No. 1, 63-73 (2012). MSC: 65M60 35Q55 65M55 PDFBibTeX XMLCite \textit{L. Wu}, Numer. Methods Partial Differ. Equations 28, No. 1, 63--73 (2012; Zbl 1252.65171) Full Text: DOI
Argyros, Ioannis K. Advances in the efficiency of computational methods and applications. (English) Zbl 0972.65036 Singapore: World Scientific. xi, 546 p. (2000). Reviewer: Willy Govaerts (Gent) MSC: 65J15 65-02 47J25 65N06 65L05 65L10 65N30 PDFBibTeX XMLCite \textit{I. K. Argyros}, Advances in the efficiency of computational methods and applications. Singapore: World Scientific (2000; Zbl 0972.65036)
Wang, Jin-Hua; Huang, Shuechin; Li, Chong Extended Newton’s method for mappings on Riemannian manifolds with values in a cone. (English) Zbl 1182.65084 Taiwanese J. Math. 13, No. 2B, 633-656 (2009). Reviewer: Peter Zabreiko (Minsk) MSC: 65J15 58C15 47J22 47J25 PDFBibTeX XMLCite \textit{J.-H. Wang} et al., Taiwanese J. Math. 13, No. 2B, 633--656 (2009; Zbl 1182.65084) Full Text: DOI
Argyros, Ioannis K.; Hilout, Saïd Improved generalized differentiability conditions for Newton-like methods. (English) Zbl 1196.65100 J. Complexity 26, No. 3, 316-333 (2010). Reviewer: Erwin Schechter (Moers) MSC: 65J15 65L10 65R20 34B15 45G10 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. Hilout}, J. Complexity 26, No. 3, 316--333 (2010; Zbl 1196.65100) Full Text: DOI
Konnov, I. V. A class of combined iterative methods for solving variational inequalities. (English) Zbl 0892.90172 J. Optimization Theory Appl. 94, No. 3, 677-693 (1997). MSC: 90C33 49J40 PDFBibTeX XMLCite \textit{I. V. Konnov}, J. Optim. Theory Appl. 94, No. 3, 677--693 (1997; Zbl 0892.90172) Full Text: DOI
Schwandt, Hartmut An interval arithmetic approach for the construction of an almost globally convergent method for the solution of the nonlinear Poisson equation on the unit square. (English) Zbl 0539.65076 SIAM J. Sci. Stat. Comput. 5, 427-452 (1984). Reviewer: R.Krawczyk MSC: 65N22 65G30 65H10 35J05 35J65 PDFBibTeX XMLCite \textit{H. Schwandt}, SIAM J. Sci. Stat. Comput. 5, 427--452 (1984; Zbl 0539.65076) Full Text: DOI
Bryan, Kurt; Caudill, Lester Reconstruction of an unknown boundary portion from Cauchy data in \(n\) dimensions. (English) Zbl 1086.35125 Inverse Probl. 21, No. 1, 239-255 (2005). MSC: 35R30 35K20 65M32 PDFBibTeX XMLCite \textit{K. Bryan} and \textit{L. Caudill}, Inverse Probl. 21, No. 1, 239--255 (2005; Zbl 1086.35125) Full Text: DOI
Eirola, Timo; von Pfaler, Jan Numerical Taylor expansions for invariant manifolds. (English) Zbl 1063.65139 Numer. Math. 99, No. 1, 25-46 (2004). Reviewer: Willy Govaerts (Gent) MSC: 65P30 37L25 37M20 37C10 37C25 37D10 PDFBibTeX XMLCite \textit{T. Eirola} and \textit{J. von Pfaler}, Numer. Math. 99, No. 1, 25--46 (2004; Zbl 1063.65139) Full Text: DOI
Dennis, J. E. jun.; Marwil, Earl S. Direct secant updates of matrix factorizations. (English) Zbl 0482.65028 Math. Comput. 38, 459-474 (1982). MSC: 65H10 PDFBibTeX XMLCite \textit{J. E. Dennis jun.} and \textit{E. S. Marwil}, Math. Comput. 38, 459--474 (1982; Zbl 0482.65028) Full Text: DOI
Ezquerro, J. A.; Hernández, M. A.; Salanova, M. A. A discretization scheme for some conservative problems. (English) Zbl 0948.65058 J. Comput. Appl. Math. 115, No. 1-2, 181-192 (2000). Reviewer: Boris V.Loginov (Ul’yanovsk) MSC: 65J15 34G20 65L05 PDFBibTeX XMLCite \textit{J. A. Ezquerro} et al., J. Comput. Appl. Math. 115, No. 1--2, 181--192 (2000; Zbl 0948.65058) Full Text: DOI
Codevico, Gianni; Pan, Victor Y.; Van Barel, Marc Newton-like iteration based on a cubic polynomial for structured matrices. (English) Zbl 1068.65050 Numer. Algorithms 36, No. 4, 365-380 (2004). Reviewer: Oleksandr Kukush (Kyïv) MSC: 65F20 65F10 PDFBibTeX XMLCite \textit{G. Codevico} et al., Numer. Algorithms 36, No. 4, 365--380 (2004; Zbl 1068.65050) Full Text: DOI
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 PDFBibTeX XMLCite \textit{R. E. Bank} and \textit{D. J. Rose}, SIAM J. Numer. Anal. 17, 806--822 (1980; Zbl 0466.65057) Full Text: DOI
Fowler, K. R.; Kelley, C. T. Pseudo-transient continuation for nonsmooth nonlinear equations. (English) Zbl 1118.65076 SIAM J. Numer. Anal. 43, No. 4, 1385-1406 (2005). Reviewer: Jürgen Guddat (Berlin) MSC: 65L05 65L80 34A09 65L12 65L20 65H10 65H20 PDFBibTeX XMLCite \textit{K. R. Fowler} and \textit{C. T. Kelley}, SIAM J. Numer. Anal. 43, No. 4, 1385--1406 (2005; Zbl 1118.65076) Full Text: DOI
Witsch, Kristian Projektive Newton-Verfahren und Anwendungen auf nichtlineare Randwertaufgaben. (German) Zbl 0421.65038 Numer. Math. 31, 209-230 (1978). MSC: 65J15 34B15 65L10 PDFBibTeX XMLCite \textit{K. Witsch}, Numer. Math. 31, 209--230 (1978; Zbl 0421.65038) Full Text: DOI EuDML
Cacace, Simone; Camilli, Fabio A generalized Newton method for homogenization of Hamilton-Jacobi equations. (English) Zbl 1354.65129 SIAM J. Sci. Comput. 38, No. 6, A3589-A3617 (2016). MSC: 65K10 35F21 35B27 49M15 49J20 PDFBibTeX XMLCite \textit{S. Cacace} and \textit{F. Camilli}, SIAM J. Sci. Comput. 38, No. 6, A3589--A3617 (2016; Zbl 1354.65129) Full Text: DOI
Etling, Tommy; Herzog, Roland; Loayza, Estefanía; Wachsmuth, Gerd First and second order shape optimization based on restricted mesh deformations. (English) Zbl 1475.49050 SIAM J. Sci. Comput. 42, No. 2, A1200-A1225 (2020). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 49Q10 65N30 49M15 PDFBibTeX XMLCite \textit{T. Etling} et al., SIAM J. Sci. Comput. 42, No. 2, A1200--A1225 (2020; Zbl 1475.49050) Full Text: DOI arXiv
Argyros, Ioannis K. On a new Newton-Mysovskii-type theorem with applications to inexact Newton-like methods and their discretizations. (English) Zbl 0905.65064 IMA J. Numer. Anal. 18, No. 1, 37-56 (1998). Reviewer: K.Najzar (Praha) MSC: 65J15 47J25 85A25 65R20 45G10 PDFBibTeX XMLCite \textit{I. K. Argyros}, IMA J. Numer. Anal. 18, No. 1, 37--56 (1998; Zbl 0905.65064) Full Text: DOI
Ferreira, O. P.; Gonçalves, M. L. N.; Oliveira, P. R. Local convergence analysis of inexact Gauss-Newton like methods under majorant condition. (English) Zbl 1241.65052 J. Comput. Appl. Math. 236, No. 9, 2487-2498 (2012). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{O. P. Ferreira} et al., J. Comput. Appl. Math. 236, No. 9, 2487--2498 (2012; Zbl 1241.65052) Full Text: DOI arXiv
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Argyros, Ioannis K. Approximate solution of operator equations with applications. (English) Zbl 1086.47002 Hackensack, NJ: World Scientific (ISBN 981-256-365-2/hbk). xiii, 512 p. (2005). Reviewer: Iulian Coroian (Baia Mare) MSC: 47-01 47J05 47J25 65J05 65J15 39B42 PDFBibTeX XMLCite \textit{I. K. Argyros}, Approximate solution of operator equations with applications. Hackensack, NJ: World Scientific (2005; Zbl 1086.47002)
Argyros, Ioannis K. A unified approach for constructing fast two-step Newton-like methods. (English) Zbl 0817.65042 Monatsh. Math. 119, No. 1-2, 1-22 (1995). Reviewer: J.Albrycht (Poznań) MSC: 65J15 65R20 47J25 45G10 PDFBibTeX XMLCite \textit{I. K. Argyros}, Monatsh. Math. 119, No. 1--2, 1--22 (1995; Zbl 0817.65042) Full Text: DOI EuDML
Li, Xiaowu; Mu, Chunlai; Ma, Jinwen; Hou, Linke Fifth-order iterative method for finding multiple roots of nonlinear equations. (English) Zbl 1222.65047 Numer. Algorithms 57, No. 3, 389-398 (2011). Reviewer: Hang Lau (Montréal) MSC: 65H05 PDFBibTeX XMLCite \textit{X. Li} et al., Numer. Algorithms 57, No. 3, 389--398 (2011; Zbl 1222.65047) Full Text: DOI
Bertsekas, Dimitri P.; Gafni, Eli M. Projected Newton methods and optimization of multicommodity flows. (English) Zbl 0525.90042 IEEE Trans. Autom. Control 28, 1090-1096 (1983). MSC: 90B10 65K05 90C05 90C20 PDFBibTeX XMLCite \textit{D. P. Bertsekas} and \textit{E. M. Gafni}, IEEE Trans. Autom. Control 28, 1090--1096 (1983; Zbl 0525.90042) Full Text: DOI
Armand, Paul; Benoist, Joël; Omheni, Riadh; Pateloup, Vincent Study of a primal-dual algorithm for equality constrained minimization. (English) Zbl 1304.49050 Comput. Optim. Appl. 59, No. 3, 405-433 (2014). MSC: 49M15 49M37 65K05 90C06 90C30 90C51 PDFBibTeX XMLCite \textit{P. Armand} et al., Comput. Optim. Appl. 59, No. 3, 405--433 (2014; Zbl 1304.49050) Full Text: DOI
Grammont, Laurence; Ahues, Mario; D’Almeida, Filomena D. For nonlinear infinite dimensional equations, which to begin with: linearization or discretization? (English) Zbl 1307.65077 J. Integral Equations Appl. 26, No. 3, 413-436 (2014). MSC: 65J15 47J25 65R20 45B05 45G10 PDFBibTeX XMLCite \textit{L. Grammont} et al., J. Integral Equations Appl. 26, No. 3, 413--436 (2014; Zbl 1307.65077) Full Text: DOI Euclid
Schwandt, Hartmut Krawczyk-like algorithms for the solution of systems of nonlinear equations. (English) Zbl 0579.65049 SIAM J. Numer. Anal. 22, 792-810 (1985). Reviewer: R.Krawczyk MSC: 65H10 65G30 65N22 PDFBibTeX XMLCite \textit{H. Schwandt}, SIAM J. Numer. Anal. 22, 792--810 (1985; Zbl 0579.65049) Full Text: DOI
Wu, Xinyuan Note on the improvement of Newton’s method for system of nonlinear equations. (English) Zbl 1243.65058 Appl. Math. Comput. 189, No. 2, 1476-1479 (2007). MSC: 65H10 PDFBibTeX XMLCite \textit{X. Wu}, Appl. Math. Comput. 189, No. 2, 1476--1479 (2007; Zbl 1243.65058) Full Text: DOI
Sahu, D. R. Altering points and applications. (English) Zbl 1524.47118 Nonlinear Stud. 21, No. 2, 349-365 (2014). MSC: 47J26 49J40 49M15 65K10 PDFBibTeX XMLCite \textit{D. R. Sahu}, Nonlinear Stud. 21, No. 2, 349--365 (2014; Zbl 1524.47118) Full Text: Link
Argyros, Ioannis K. A new iterative method of asymptotic order \(1+\sqrt 2\) for the computation of fixed points. (English) Zbl 1122.65051 Int. J. Comput. Math. 82, No. 11, 1413-1428 (2005). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Int. J. Comput. Math. 82, No. 11, 1413--1428 (2005; Zbl 1122.65051) Full Text: DOI
Ratschek, H.; Voller, R. L. What can interval analysis do for global optimization? (English) Zbl 0752.65054 J. Glob. Optim. 1, No. 2, 111-130 (1991). Reviewer: G.Mayer (Karlsruhe) MSC: 65K05 65G30 65-02 90C30 PDFBibTeX XMLCite \textit{H. Ratschek} and \textit{R. L. Voller}, J. Glob. Optim. 1, No. 2, 111--130 (1991; Zbl 0752.65054) Full Text: DOI
Lemarechal, C.; Zowe, J. Some remarks on the construction of higher order algorithms in convex optimization. (English) Zbl 0527.65042 Appl. Math. Optimization 10, 51-68 (1983). MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{C. Lemarechal} and \textit{J. Zowe}, Appl. Math. Optim. 10, 51--68 (1983; Zbl 0527.65042) Full Text: DOI
Ypma, T. J. Local convergence of difference Newton-like methods. (English) Zbl 0533.65027 Math. Comput. 41, 527-536 (1983). Reviewer: W.C.Rheinboldt MSC: 65H10 PDFBibTeX XMLCite \textit{T. J. Ypma}, Math. Comput. 41, 527--536 (1983; Zbl 0533.65027) Full Text: DOI
Argyros, Ioannis K. On the secant method for solving nonsmooth equations. (English) Zbl 1112.65048 J. Math. Anal. Appl. 322, No. 1, 146-157 (2006). Reviewer: Lechoslaw Hącia (Poznań) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, J. Math. Anal. Appl. 322, No. 1, 146--157 (2006; Zbl 1112.65048) Full Text: DOI
Lundberg, Bruce N.; Poore, Aubrey B. Variable order Adams-Bashforth predictors with an error-stepsize control for continuation methods. (English) Zbl 0737.65042 SIAM J. Sci. Stat. Comput. 12, No. 3, 695-723 (1991). Reviewer: H.Ade (Mainz) MSC: 65H10 65L06 65H20 34A34 65L50 PDFBibTeX XMLCite \textit{B. N. Lundberg} and \textit{A. B. Poore}, SIAM J. Sci. Stat. Comput. 12, No. 3, 695--723 (1991; Zbl 0737.65042) Full Text: DOI
Chen, Xiaojun; Yamamoto, Tetsuro Newton-like methods for solving underdetermined nonlinear equations with nondifferentiable terms. (English) Zbl 0823.65048 J. Comput. Appl. Math. 55, No. 3, 311-324 (1994). Reviewer: D.Braess (Bochum) MSC: 65H10 PDFBibTeX XMLCite \textit{X. Chen} and \textit{T. Yamamoto}, J. Comput. Appl. Math. 55, No. 3, 311--324 (1994; Zbl 0823.65048) Full Text: DOI
Spijker, M. N. On the error committed by stopping the Newton iteration in implicit Runge-Kutta methods. (English) Zbl 0840.65076 Ann. Numer. Math. 1, No. 1-4, 199-212 (1994). Reviewer: S.Zabek (Lublin) MSC: 65L06 34A34 34E13 65L05 65L70 65H10 PDFBibTeX XMLCite \textit{M. N. Spijker}, Ann. Numer. Math. 1, No. 1--4, 199--212 (1994; Zbl 0840.65076)
Han, Bo; Shao, Jiqun; Guo, Baoqi A widely convergent method for determining the distributed parameters of the elliptical equation. (English) Zbl 0789.65088 Appl. Math. Comput. 60, No. 2-3, 139-146 (1994). Reviewer: Y.Cherruault (Paris) MSC: 65Z05 65H20 35J65 35R30 PDFBibTeX XMLCite \textit{B. Han} et al., Appl. Math. Comput. 60, No. 2--3, 139--146 (1994; Zbl 0789.65088) Full Text: DOI
Mahony, Robert; Manton, Jonathan H. The geometry of the Newton method on non-compact Lie groups. (English) Zbl 1019.22005 J. Glob. Optim. 23, No. 3-4, 309-327 (2002). Reviewer: Constantin Udrişte (Bucureşti) MSC: 22E30 90C53 65T99 PDFBibTeX XMLCite \textit{R. Mahony} and \textit{J. H. Manton}, J. Glob. Optim. 23, No. 3--4, 309--327 (2002; Zbl 1019.22005) Full Text: DOI
Vladimirov, Igor G.; Petersen, Ian R. A quasi-separation principle and Newton-like scheme for coherent quantum LQG control. (English) Zbl 1277.49045 Syst. Control Lett. 62, No. 7, 550-559 (2013). MSC: 49N10 81Q93 49M15 PDFBibTeX XMLCite \textit{I. G. Vladimirov} and \textit{I. R. Petersen}, Syst. Control Lett. 62, No. 7, 550--559 (2013; Zbl 1277.49045) Full Text: DOI arXiv
Chuong, Thai Doan Newton-like methods for efficient solutions in vector optimization. (English) Zbl 1295.90068 Comput. Optim. Appl. 54, No. 3, 495-516 (2013). MSC: 90C29 90C48 90C53 PDFBibTeX XMLCite \textit{T. D. Chuong}, Comput. Optim. Appl. 54, No. 3, 495--516 (2013; Zbl 1295.90068) Full Text: DOI
Szyld, Daniel B.; Xue, Fei Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems. I. Classical algorithms. (English) Zbl 1309.65059 Numer. Math. 129, No. 2, 353-381 (2015). Reviewer: Anton Iliev (Plovdiv) MSC: 65H17 65F15 PDFBibTeX XMLCite \textit{D. B. Szyld} and \textit{F. Xue}, Numer. Math. 129, No. 2, 353--381 (2015; Zbl 1309.65059) Full Text: DOI
Schwandt, Hartmut The solution of nonlinear elliptic Dirichlet problems on rectangles by almost globally convergent interval methods. (English) Zbl 0579.65108 SIAM J. Sci. Stat. Comput. 6, 617-638 (1985). Reviewer: R.Krawczyk MSC: 65N22 65H10 65G30 35J65 PDFBibTeX XMLCite \textit{H. Schwandt}, SIAM J. Sci. Stat. Comput. 6, 617--638 (1985; Zbl 0579.65108) Full Text: DOI
Grammont, Laurence; Vasconcelos, Paulo B.; Ahues, Mario A modified iterated projection method adapted to a nonlinear integral equation. (English) Zbl 1410.65219 Appl. Math. Comput. 276, 432-441 (2016). MSC: 65J15 35P05 45G10 65R20 PDFBibTeX XMLCite \textit{L. Grammont} et al., Appl. Math. Comput. 276, 432--441 (2016; Zbl 1410.65219) Full Text: DOI
Wu, Li Two-grid strategy for unsteady state nonlinear Schrödinger equations. (English) Zbl 1217.65195 Int. J. Pure Appl. Math. 68, No. 4, 465-475 (2011). MSC: 65M60 35Q55 65M55 PDFBibTeX XMLCite \textit{L. Wu}, Int. J. Pure Appl. Math. 68, No. 4, 465--475 (2011; Zbl 1217.65195) Full Text: Link
Hernández, M. A.; Salanova, M. A. A Newton-like iterative process for the numerical solution of Fredholm nonlinear integral equations. (English) Zbl 1079.65135 J. Integral Equations Appl. 17, No. 1, 1-17 (2005). Reviewer: Iulian Coroian (Baia Mare) MSC: 65R20 45G10 PDFBibTeX XMLCite \textit{M. A. Hernández} and \textit{M. A. Salanova}, J. Integral Equations Appl. 17, No. 1, 1--17 (2005; Zbl 1079.65135) Full Text: DOI
Bruder, Jürgen Linearly-implicit Runge-Kutta methods based on implicit Runge-Kutta methods. (English) Zbl 0790.65059 Appl. Numer. Math. 13, No. 1-3, 33-40 (1993). Reviewer: M.M.Konstantinov (Sofia) MSC: 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{J. Bruder}, Appl. Numer. Math. 13, No. 1--3, 33--40 (1993; Zbl 0790.65059) Full Text: DOI
Ypma, T. J. The effect of rounding errors on Newton-like methods. (English) Zbl 0519.65026 IMA J. Numer. Anal. 3, 109-118 (1983). MSC: 65H10 65G50 PDFBibTeX XMLCite \textit{T. J. Ypma}, IMA J. Numer. Anal. 3, 109--118 (1983; Zbl 0519.65026) Full Text: DOI
Ypma, T. J. Convergence of Newton-like-iterative methods. (English) Zbl 0535.65029 Numer. Math. 45, 241-251 (1984). MSC: 65H10 PDFBibTeX XMLCite \textit{T. J. Ypma}, Numer. Math. 45, 241--251 (1984; Zbl 0535.65029) Full Text: DOI EuDML
Argyros, Ioannis K. An improved convergence analysis and applications for Newton-like methods in Banach space. (English) Zbl 1040.47045 Numer. Funct. Anal. Optimization 24, No. 7-8, 653-672 (2003). MSC: 47J25 65J15 90C55 PDFBibTeX XMLCite \textit{I. K. Argyros}, Numer. Funct. Anal. Optim. 24, No. 7--8, 653--672 (2003; Zbl 1040.47045) Full Text: DOI
Argyros, I. K. Newton-like methods and nondiscrete mathematical induction. (English) Zbl 0712.65054 Stud. Sci. Math. Hung. 28, No. 3-4, 417-426 (1993). Reviewer: I.K.Argyros MSC: 65J15 65H10 PDFBibTeX XMLCite \textit{I. K. Argyros}, Stud. Sci. Math. Hung. 28, No. 3--4, 417--426 (1993; Zbl 0712.65054)
Menini, Laura; Possieri, Corrado; Tornambè, Antonio A Newton-like algorithm to compute the inverse of a nonlinear map that converges in finite time. (English) Zbl 1388.93039 Automatica 89, 411-414 (2018). MSC: 93B40 93C85 93C10 93B07 49M15 PDFBibTeX XMLCite \textit{L. Menini} et al., Automatica 89, 411--414 (2018; Zbl 1388.93039) Full Text: DOI
Kelley, C. T.; Sachs, E. W. Approximate quasi-Newton methods. (English) Zbl 0695.90085 Math. Program., Ser. B 48, No. 1, 41-70 (1990). Reviewer: C.Vârsan MSC: 90C30 49M15 65H10 PDFBibTeX XMLCite \textit{C. T. Kelley} and \textit{E. W. Sachs}, Math. Program. 48, No. 1 (B), 41--70 (1990; Zbl 0695.90085) Full Text: DOI
Grzegórski, Stanisław M. Orthogonal projections on convex sets for Newton-like methods. (English) Zbl 0593.65044 SIAM J. Numer. Anal. 22, 1208-1219 (1985). Reviewer: J.Abaffy MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{S. M. Grzegórski}, SIAM J. Numer. Anal. 22, 1208--1219 (1985; Zbl 0593.65044) Full Text: DOI
Szyld, Daniel B.; Xue, Fei Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems: II. Accelerated algorithms. (English) Zbl 1309.65060 Numer. Math. 129, No. 2, 383-403 (2015). Reviewer: Anton Iliev (Plovdiv) MSC: 65H17 PDFBibTeX XMLCite \textit{D. B. Szyld} and \textit{F. Xue}, Numer. Math. 129, No. 2, 383--403 (2015; Zbl 1309.65060) Full Text: DOI
Wang, P. A third-order family of Newton-like iteration methods for solving nonlinear equations. (English) Zbl 1360.65149 J. Numer. Math. Stoch. 3, No. 1, 13-19 (2011). MSC: 65H05 PDFBibTeX XMLCite \textit{P. Wang}, J. Numer. Math. Stoch. 3, No. 1, 13--19 (2011; Zbl 1360.65149) Full Text: Link
Chen, Jinhai; Sun, Qingying The convergence ball of Newton-like methods in Banach space and applications. (English) Zbl 1141.65036 Taiwanese J. Math. 11, No. 2, 383-397 (2007). Reviewer: János Karátson (Budapest) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{J. Chen} and \textit{Q. Sun}, Taiwanese J. Math. 11, No. 2, 383--397 (2007; Zbl 1141.65036) Full Text: DOI
Chun, Changbum; Ham, YoonMee Newton-like iteration methods for solving non-linear equations. (English) Zbl 1092.65041 Commun. Numer. Methods Eng. 22, No. 5, 475-487 (2006). Reviewer: Jürgen Guddat (Berlin) MSC: 65H05 65H20 PDFBibTeX XMLCite \textit{C. Chun} and \textit{Y. Ham}, Commun. Numer. Methods Eng. 22, No. 5, 475--487 (2006; Zbl 1092.65041) Full Text: DOI
Hernández, M. A.; Romero, N. Toward a unified theory for third \(R\)-order iterative methods for operators with unbounded second derivative. (English) Zbl 1181.65080 Appl. Math. Comput. 215, No. 6, 2248-2261 (2009). MSC: 65J15 47J25 45G10 65R20 PDFBibTeX XMLCite \textit{M. A. Hernández} and \textit{N. Romero}, Appl. Math. Comput. 215, No. 6, 2248--2261 (2009; Zbl 1181.65080) Full Text: DOI
Kelley, C. T. Identification of the support of nonsmoothness. (English) Zbl 0808.65057 Hager, W. W. (ed.) et al., Large scale optimization. State of the art. Papers presented at the conference, held February 15-17, 1993 at the University of Florida, Gainesville, FL, USA. Dordrecht: Kluwer Academic Publishers. 192-205 (1994). Reviewer: W.C.Rheinboldt (Pittsburgh) MSC: 65H10 PDFBibTeX XMLCite \textit{C. T. Kelley}, in: Large scale optimization. State of the art. Papers presented at the conference, held February 15-17, 1993 at the University of Florida, Gainesville, FL, USA. Dordrecht: Kluwer Academic Publishers. 192--205 (1994; Zbl 0808.65057)
Argyros, Ioannis K.; Szidarovszky, Ferenc On the monotone convergence of general Newton-like methods. (English) Zbl 0743.65053 Bull. Aust. Math. Soc. 45, No. 3, 489-502 (1992). Reviewer: W.C.Rheinboldt (Pittsburgh) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{F. Szidarovszky}, Bull. Aust. Math. Soc. 45, No. 3, 489--502 (1992; Zbl 0743.65053) Full Text: DOI
Johansson, Magnus; Mahnken, Rolf; Runesson, Kenneth Efficient integration technique for generalized viscoplasticity coupled to damage. (English) Zbl 0945.74070 Int. J. Numer. Methods Eng. 44, No. 11, 1727-1747 (1999). MSC: 74S05 74C15 74R20 74F05 PDFBibTeX XMLCite \textit{M. Johansson} et al., Int. J. Numer. Methods Eng. 44, No. 11, 1727--1747 (1999; Zbl 0945.74070) Full Text: DOI
Argyros, Ioannis K. Weak sufficient convergence conditions and applications for Newton methods. (English) Zbl 1058.65059 J. Appl. Math. Comput. 16, No. 1-2, 1-17 (2004). Reviewer: W. C. Rheinboldt (Pittsburgh) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, J. Appl. Math. Comput. 16, No. 1--2, 1--17 (2004; Zbl 1058.65059) Full Text: DOI
Edwards, John A. Exact equations of the nonlinear spline. (English) Zbl 0892.65002 ACM Trans. Math. Softw. 18, No. 2, 174-192 (1992). MSC: 65D07 65D05 41A15 PDFBibTeX XMLCite \textit{J. A. Edwards}, ACM Trans. Math. Softw. 18, No. 2, 174--192 (1992; Zbl 0892.65002) Full Text: DOI Link
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