Chen, J.; Qi, L. Pseudotransient continuation for solving systems of nonsmooth equations with inequality constraints. (English) Zbl 1214.65024 J. Optim. Theory Appl. 147, No. 2, 223-242 (2010). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 65H10 49J52 65K05 90C30 PDFBibTeX XMLCite \textit{J. Chen} and \textit{L. Qi}, J. Optim. Theory Appl. 147, No. 2, 223--242 (2010; Zbl 1214.65024) Full Text: DOI
Mireles James, J. D.; Lomelí, Hector Computation of heteroclinic arcs with application to the volume preserving Hénon family. (English) Zbl 1207.37014 SIAM J. Appl. Dyn. Syst. 9, No. 3, 919-953 (2010). Reviewer: Juan Luis García Guirao (Cartagena) MSC: 37C29 65P99 65Q20 65Q30 90C53 15A09 PDFBibTeX XMLCite \textit{J. D. Mireles James} and \textit{H. Lomelí}, SIAM J. Appl. Dyn. Syst. 9, No. 3, 919--953 (2010; Zbl 1207.37014) Full Text: DOI
Bartish, M.; Ogorodnyk, N. Three step algorithms for solving systems of nonlinear equations. (Ukrainian. English summary) Zbl 1164.65409 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2007, No. 12, 23-31 (2007). MSC: 65H10 PDFBibTeX XMLCite \textit{M. Bartish} and \textit{N. Ogorodnyk}, Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2007, No. 12, 23--31 (2007; Zbl 1164.65409)
Gruais, I.; Cousin-Rittemard, N. M. M.; Dijkstra, H. A. A priori estimations of a global homotopy residue continuation method. (English) Zbl 1081.65120 Numer. Funct. Anal. Optimization 26, No. 4-5, 507-521 (2005). Reviewer: Luis Vazquez (Madrid) MSC: 65P30 65H20 37M20 PDFBibTeX XMLCite \textit{I. Gruais} et al., Numer. Funct. Anal. Optim. 26, No. 4--5, 507--521 (2005; Zbl 1081.65120) Full Text: DOI HAL
Gould, Nicholas I. M.; Orban, Dominique; Sartenaer, Annick; Toint, Philippe L. Componentwise fast convergence in the solution of full-rank systems of nonlinear equations. (English) Zbl 1012.65046 Math. Program. 92, No. 3 (B), 481-508 (2002). Reviewer: Peter Reichensperger (Oberasbach) MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., Math. Program. 92, No. 3 (B), 481--508 (2002; Zbl 1012.65046) Full Text: DOI Link
Smiley, Michael W.; Chun, Changbum An algorithm for finding all solutions of a nonlinear system. (English) Zbl 1002.65062 J. Comput. Appl. Math. 137, No. 2, 293-315 (2001). Reviewer: B.Döring (Düsseldorf) MSC: 65H10 PDFBibTeX XMLCite \textit{M. W. Smiley} and \textit{C. Chun}, J. Comput. Appl. Math. 137, No. 2, 293--315 (2001; Zbl 1002.65062) Full Text: DOI
Dent, Deborah; Paprzycki, Marcin; Kucaba-Piȩtal, Anna Recent advances in solvers for nonlinear algebraic equations. (English) Zbl 0974.65051 Comput. Assist. Mech. Eng. Sci. 7, No. 4, 793-505 (2000). Reviewer: J.Vaníček (Praha) MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{D. Dent} et al., Comput. Assist. Mech. Eng. Sci. 7, No. 4, 793--505 (2000; Zbl 0974.65051)
Martínez, José Mario Practical quasi-Newton methods for solving nonlinear systems. (English) Zbl 0967.65065 J. Comput. Appl. Math. 124, No. 1-2, 97-121 (2000). Reviewer: Plamen Yordanov Yalamov (Russe) MSC: 65H10 PDFBibTeX XMLCite \textit{J. M. Martínez}, J. Comput. Appl. Math. 124, No. 1--2, 97--121 (2000; Zbl 0967.65065) Full Text: DOI
Lust, Kurt; Roose, Dirk Computation and bifurcation analysis of periodic solutions of large-scale systems. (English) Zbl 0958.65141 Doedel, Eusebius (ed.) et al., Numerical methods for bifurcation problems and large-scale dynamical systems. Based on two workshops held as part of the 1997-1998 IMA academic year on emerging applications of dynamical systems. New York, NY: Springer. IMA Vol. Math. Appl. 119, 265-301 (2000). MSC: 65P30 37M20 PDFBibTeX XMLCite \textit{K. Lust} and \textit{D. Roose}, IMA Vol. Math. Appl. 119, 265--301 (2000; Zbl 0958.65141)
Martínez, J. M.; Santos, L. T. New theoretical results on recursive quadratic programming algorithms. (English) Zbl 0907.90220 J. Optimization Theory Appl. 97, No. 2, 435-454 (1998). MSC: 90C20 PDFBibTeX XMLCite \textit{J. M. Martínez} and \textit{L. T. Santos}, J. Optim. Theory Appl. 97, No. 2, 435--454 (1998; Zbl 0907.90220) Full Text: DOI
Lust, K.; Roose, D. An adaptive Newton-Picard algorithm with subspace iteration for computing periodic solutions. (English) Zbl 0915.65088 SIAM J. Sci. Comput. 19, No. 4, 1188-1209 (1998). Reviewer: M.Calvo (Zaragoza) MSC: 65L10 34C25 65M20 65L20 35K15 35B10 PDFBibTeX XMLCite \textit{K. Lust} and \textit{D. Roose}, SIAM J. Sci. Comput. 19, No. 4, 1188--1209 (1998; Zbl 0915.65088) Full Text: DOI
Rheinboldt, Werner C. Methods for solving systems of nonlinear equations. 2nd ed. (English) Zbl 0906.65051 CBMS-NSF Regional Conference Series in Applied Mathematics. 70. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. ix, 148 p. (1998). Reviewer: J.Guddat (Berlin) MSC: 65H10 65-02 65H20 65K05 90C30 PDFBibTeX XMLCite \textit{W. C. Rheinboldt}, Methods for solving systems of nonlinear equations. 2nd ed. Philadelphia, PA: SIAM (1998; Zbl 0906.65051)
Griewank, A.; Reddien, G. W. The approximate solution of defining equations for generalized turning points. (English) Zbl 0876.65030 SIAM J. Numer. Anal. 33, No. 5, 1912-1920 (1996). Reviewer: W.Zulehner (Linz) MSC: 65H17 PDFBibTeX XMLCite \textit{A. Griewank} and \textit{G. W. Reddien}, SIAM J. Numer. Anal. 33, No. 5, 1912--1920 (1996; Zbl 0876.65030) Full Text: DOI
Chien, C.-S.; Lu, N.-H.; Weng, Z.-L. Conjugate gradient methods for continuation problems. II. (English) Zbl 0857.65060 J. Comput. Appl. Math. 62, No. 2, 197-216 (1995). Reviewer: J.Vaníček (Praha) MSC: 65H17 65F15 65F10 65H20 PDFBibTeX XMLCite \textit{C. S. Chien} et al., J. Comput. Appl. Math. 62, No. 2, 197--216 (1995; Zbl 0857.65060) Full Text: DOI
Beyn, W.-J. On smoothness and invariance properties of the Gauss-Newton method. (English) Zbl 0795.65027 Numer. Funct. Anal. Optimization 14, No. 5-6, 503-514 (1993). MSC: 65H10 37C85 PDFBibTeX XMLCite \textit{W. J. Beyn}, Numer. Funct. Anal. Optim. 14, No. 5--6, 503--514 (1993; Zbl 0795.65027) Full Text: DOI Link
Pietraszkiewicz, Wojciech Explicit Lagrangian incremental and buckling equations for the non-linear theory of thin shells. (English) Zbl 0776.73043 Int. J. Non-Linear Mech. 28, No. 2, 209-220 (1993). MSC: 74K15 74G60 PDFBibTeX XMLCite \textit{W. Pietraszkiewicz}, Int. J. Non-Linear Mech. 28, No. 2, 209--220 (1993; Zbl 0776.73043) Full Text: DOI
Yen, Jeng Constrained equations of motion in multibody dynamics as ODEs on manifolds. (English) Zbl 0774.65046 SIAM J. Numer. Anal. 30, No. 2, 553-568 (1993). Reviewer: M.Calvo (Zaragoza) MSC: 65L05 65L06 65L20 34A34 70F20 PDFBibTeX XMLCite \textit{J. Yen}, SIAM J. Numer. Anal. 30, No. 2, 553--568 (1993; Zbl 0774.65046) Full Text: DOI
Gomes-Ruggiero, Márcia A.; Martínez, José Mario; Moretti, Antonio Carlos Comparing algorithms for solving sparse nonlinear systems of equations. (English) Zbl 0752.65039 SIAM J. Sci. Stat. Comput. 13, No. 2, 459-483 (1992). Reviewer: O.Vaarmann (Tallinn) MSC: 65H10 65K05 PDFBibTeX XMLCite \textit{M. A. Gomes-Ruggiero} et al., SIAM J. Sci. Stat. Comput. 13, No. 2, 459--483 (1992; Zbl 0752.65039) Full Text: DOI
Dellwo, David R.; Friedman, Morton B. Accelerated projection and iterated projection methods with applications to nonlinear integral equations. (English) Zbl 0725.65056 SIAM J. Numer. Anal. 28, No. 1, 236-250 (1991). Reviewer: Y.Cherruault (Paris) MSC: 65J15 65R20 47H10 47J25 45G10 PDFBibTeX XMLCite \textit{D. R. Dellwo} and \textit{M. B. Friedman}, SIAM J. Numer. Anal. 28, No. 1, 236--250 (1991; Zbl 0725.65056) Full Text: DOI
Argyros, I. K. On the approximate solutions of nonlinear functional equations under mild differentiability conditions. (English) Zbl 0754.65051 Acta Math. Hung. 58, No. 1-2, 3-7 (1991). Reviewer: O.Hadzic (Novi Sad) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Acta Math. Hung. 58, No. 1--2, 3--7 (1991; Zbl 0754.65051) 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
Walker, Homer F.; Watson, Layne T. Least-change secant update methods for underdetermined systems. (English) Zbl 0733.65032 SIAM J. Numer. Anal. 27, No. 5, 1227-1262 (1990). Reviewer: W.Zulehner (Linz) MSC: 65H10 65C99 65H20 PDFBibTeX XMLCite \textit{H. F. Walker} and \textit{L. T. Watson}, SIAM J. Numer. Anal. 27, No. 5, 1227--1262 (1990; Zbl 0733.65032) Full Text: DOI
Allgower, Eugene L.; Georg, Kurt Numerically stable homotopy methods without an extra dimension. (English) Zbl 0723.65032 Computational solution of nonlinear systems of equations, Proc. SIAM-AMS Summer Semin., Ft. Collins/CO (USA) 1988, Lect. Appl. Math. 26, 1-13 (1990). Reviewer: B.Kearfott (Lafayette) MSC: 65H20 65H10 PDFBibTeX XML
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 PDFBibTeX XML
Pang, J. S. Solution differentiability and continuation of Newton’s method for variational inequality problems over polyhedral sets. (English) Zbl 0681.49011 J. Optimization Theory Appl. 66, No. 1, 121-135 (1990). Reviewer: J.Pang MSC: 49J40 49M15 PDFBibTeX XMLCite \textit{J. S. Pang}, J. Optim. Theory Appl. 66, No. 1, 121--135 (1990; Zbl 0681.49011) Full Text: DOI
Roose, Dirk; de Dier, Bart Numerical determination of an emanating branch of Hopf bifurcation points in a two-parameter problem. (English) Zbl 0677.65090 SIAM J. Sci. Stat. Comput. 10, No. 4, 671-685 (1989). Reviewer: W.C.Rheinboldt MSC: 65L15 34L99 PDFBibTeX XMLCite \textit{D. Roose} and \textit{B. de Dier}, SIAM J. Sci. Stat. Comput. 10, No. 4, 671--685 (1989; Zbl 0677.65090) Full Text: DOI
Chu, Moody T. On the continuous realization of iterative processes. (English) Zbl 0657.65075 SIAM Rev. 30, No. 3, 375-387 (1988). Reviewer: A.Galántai MSC: 65J15 PDFBibTeX XMLCite \textit{M. T. Chu}, SIAM Rev. 30, No. 3, 375--387 (1988; Zbl 0657.65075) Full Text: DOI
Argyros, Ioannis K. On Newton’s method and nondiscrete mathematical induction. (English) Zbl 0642.65043 Bull. Aust. Math. Soc. 38, No. 1, 131-140 (1988). Reviewer: O.Hadžić MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Bull. Aust. Math. Soc. 38, No. 1, 131--140 (1988; Zbl 0642.65043) Full Text: DOI
Schwetlick, Hubert; Cleve, Jürgen Higher order predictors and adaptive steplength control in path following algorithms. (English) Zbl 0641.65048 SIAM J. Numer. Anal. 24, 1382-1393 (1987). Reviewer: H.Matthies MSC: 65H10 PDFBibTeX XMLCite \textit{H. Schwetlick} and \textit{J. Cleve}, SIAM J. Numer. Anal. 24, 1382--1393 (1987; Zbl 0641.65048) Full Text: DOI
Griewank, A. On solving nonlinear equations with simple singularities or nearly singular solutions. (English) Zbl 0598.65026 SIAM Rev. 27, 537-563 (1985). Reviewer: E.Allgower MSC: 65H10 80A32 PDFBibTeX XMLCite \textit{A. Griewank}, SIAM Rev. 27, 537--563 (1985; Zbl 0598.65026) Full Text: DOI