Tran-Dinh, Quoc; Liang, Ling; Toh, Kim-Chuan A new homotopy proximal variable-metric framework for composite convex minimization. (English) Zbl 1498.90159 Math. Oper. Res. 47, No. 1, 508-539 (2022). Reviewer: Yisheng Song (Hong Kong) MSC: 90C25 90C31 90C06 90-08 PDFBibTeX XMLCite \textit{Q. Tran-Dinh} et al., Math. Oper. Res. 47, No. 1, 508--539 (2022; Zbl 1498.90159) Full Text: DOI arXiv
Luo, Xin-long; Xiao, Hang; Lv, Jia-hui Continuation Newton methods with the residual trust-region time-stepping scheme for nonlinear equations. (English) Zbl 1480.65125 Numer. Algorithms 89, No. 1, 223-247 (2022). MSC: 65H20 65H10 65K05 65L05 65L20 PDFBibTeX XMLCite \textit{X.-l. Luo} et al., Numer. Algorithms 89, No. 1, 223--247 (2022; Zbl 1480.65125) Full Text: DOI arXiv
Timme, Sascha Mixed precision path tracking for polynomial homotopy continuation. (English) Zbl 1487.65057 Adv. Comput. Math. 47, No. 5, Paper No. 75, 23 p. (2021). MSC: 65H20 65H10 PDFBibTeX XMLCite \textit{S. Timme}, Adv. Comput. Math. 47, No. 5, Paper No. 75, 23 p. (2021; Zbl 1487.65057) Full Text: DOI arXiv
Liu, Lulu; Keyes, David E. Approximate error bounds on solutions of nonlinearly preconditioned PDEs. (English) Zbl 1469.49028 SIAM J. Sci. Comput. 43, No. 4, A2526-A2554 (2021). MSC: 49M15 65H10 65H20 65N15 65N22 PDFBibTeX XMLCite \textit{L. Liu} and \textit{D. E. Keyes}, SIAM J. Sci. Comput. 43, No. 4, A2526--A2554 (2021; Zbl 1469.49028) Full Text: DOI
Hao, Wenrui; Zheng, Chunyue An adaptive homotopy method for computing bifurcations of nonlinear parametric systems. (English) Zbl 1437.37111 J. Sci. Comput. 82, No. 3, Paper No. 53, 19 p. (2020). MSC: 37M20 PDFBibTeX XMLCite \textit{W. Hao} and \textit{C. Zheng}, J. Sci. Comput. 82, No. 3, Paper No. 53, 19 p. (2020; Zbl 1437.37111) Full Text: DOI arXiv
García, G. Approximating roots of nonlinear systems by \(\alpha\)-dense curves. (English) Zbl 1436.65062 Numer. Algorithms 82, No. 3, 749-760 (2019). MSC: 65H10 65H05 65H20 30C15 PDFBibTeX XMLCite \textit{G. García}, Numer. Algorithms 82, No. 3, 749--760 (2019; Zbl 1436.65062) Full Text: DOI
Gong, Shihua; Cai, Xiao-Chuan A nonlinear elimination preconditioned inexact Newton method for heterogeneous hyperelasticity. (English) Zbl 1436.65065 SIAM J. Sci. Comput. 41, No. 5, S390-S408 (2019). MSC: 65H20 74S05 65Z05 PDFBibTeX XMLCite \textit{S. Gong} and \textit{X.-C. Cai}, SIAM J. Sci. Comput. 41, No. 5, S390--S408 (2019; Zbl 1436.65065) Full Text: DOI
Hauenstein, Jonathan D.; Regan, Margaret H. Adaptive strategies for solving parameterized systems using homotopy continuation. (English) Zbl 1427.65086 Appl. Math. Comput. 332, 19-34 (2018). MSC: 65H20 PDFBibTeX XMLCite \textit{J. D. Hauenstein} and \textit{M. H. Regan}, Appl. Math. Comput. 332, 19--34 (2018; Zbl 1427.65086) Full Text: DOI arXiv
Chen, ChuanMiao; Hu, HongLing Global existence of real roots and random Newton flow algorithm for nonlinear system of equations. (English) Zbl 1383.65046 Sci. China, Math. 60, No. 7, 1341-1352 (2017). MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{C. Chen} and \textit{H. Hu}, Sci. China, Math. 60, No. 7, 1341--1352 (2017; Zbl 1383.65046) Full Text: DOI
Boyd, John P. Tracing multiple solution branches for nonlinear ordinary differential equations: Chebyshev and Fourier spectral methods and a degree-increasing spectral homotopy [DISH]. (English) Zbl 1371.65070 J. Sci. Comput. 69, No. 3, 1115-1143 (2016). MSC: 65L60 65L10 34B15 65R20 45G10 PDFBibTeX XMLCite \textit{J. P. Boyd}, J. Sci. Comput. 69, No. 3, 1115--1143 (2016; Zbl 1371.65070) Full Text: DOI
Potschka, Andreas Backward step control for global Newton-type methods. (English) Zbl 1382.65145 SIAM J. Numer. Anal. 54, No. 1, 361-387 (2016). MSC: 65H10 65H20 58C15 90C53 PDFBibTeX XMLCite \textit{A. Potschka}, SIAM J. Numer. Anal. 54, No. 1, 361--387 (2016; Zbl 1382.65145) Full Text: DOI Link
Dratman, Ezequiel; Matera, Guillermo Newton’s method and a mesh-independence principle for certain semilinear boundary-value problems. (English) Zbl 1327.65140 J. Comput. Appl. Math. 292, 188-212 (2016). MSC: 65L10 65L12 65H10 65H20 PDFBibTeX XMLCite \textit{E. Dratman} and \textit{G. Matera}, J. Comput. Appl. Math. 292, 188--212 (2016; Zbl 1327.65140) Full Text: DOI
Lei, Jing; Liu, Shi; Li, Zhihong; Sun, Meng; Wang, Xueyao A multi-scale image reconstruction algorithm for electrical capacitance tomography. (English) Zbl 1219.78124 Appl. Math. Modelling 35, No. 6, 2585-2606 (2011). MSC: 78A70 94A08 94-04 35J25 35R30 65J20 65T60 94A11 PDFBibTeX XMLCite \textit{J. Lei} et al., Appl. Math. Modelling 35, No. 6, 2585--2606 (2011; Zbl 1219.78124) Full Text: DOI
Broeckhove, Jan; Kłosiewicz, Przemysław; Vanroose, Wim Applying numerical continuation to the parameter dependence of solutions of the Schrödinger equation. (English) Zbl 1190.65190 J. Comput. Appl. Math. 234, No. 4, 1238-1248 (2010). MSC: 65P30 65H20 65Y20 37M20 81U20 PDFBibTeX XMLCite \textit{J. Broeckhove} et al., J. Comput. Appl. Math. 234, No. 4, 1238--1248 (2010; Zbl 1190.65190) Full Text: DOI arXiv
Liu, Chein-Shan; Yeih, Weichung; Kuo, Chung-Lun; Atluri, Satya N. A scalar homotopy method for solving an over/under-determined system of non-linear algebraic equations. (English) Zbl 1231.65096 CMES, Comput. Model. Eng. Sci. 53, No. 1, 47-71 (2009). MSC: 65H20 PDFBibTeX XMLCite \textit{C.-S. Liu} et al., CMES, Comput. Model. Eng. Sci. 53, No. 1, 47--71 (2009; Zbl 1231.65096) Full Text: DOI
Gräser, Carsten; Kornhuber, Ralf Nonsmooth Newton methods for set-valued saddle point problems. (English) Zbl 1190.49035 SIAM J. Numer. Anal. 47, No. 2, 1251-1273 (2009). MSC: 49M15 49M29 65H20 65N22 90C46 PDFBibTeX XMLCite \textit{C. Gräser} and \textit{R. Kornhuber}, SIAM J. Numer. Anal. 47, No. 2, 1251--1273 (2009; Zbl 1190.49035) Full Text: DOI
Bonnans, F.; Martinon, P.; Trélat, E. Singular arcs in the generalized Goddard’s problem. (English) Zbl 1159.49027 J. Optim. Theory Appl. 139, No. 2, 439-461 (2008). MSC: 49K15 93B29 PDFBibTeX XMLCite \textit{F. Bonnans} et al., J. Optim. Theory Appl. 139, No. 2, 439--461 (2009; Zbl 1159.49027) Full Text: DOI arXiv
Bonnans, Joseph Frédéric; Hermant, Audrey Stability and sensitivity analysis for optimal control problems with a first-order state constraint and application to continuation methods. (English) Zbl 1148.49026 ESAIM, Control Optim. Calc. Var. 14, No. 4, 825-863 (2008). MSC: 49K40 49N60 34B15 PDFBibTeX XMLCite \textit{J. F. Bonnans} and \textit{A. Hermant}, ESAIM, Control Optim. Calc. Var. 14, No. 4, 825--863 (2008; Zbl 1148.49026) Full Text: DOI EuDML
Leykin, Anton; Verschelde, Jan; Zhao, Ailing Newton’s method with deflation for isolated singularities of polynomial systems. (English) Zbl 1106.65046 Theor. Comput. Sci. 359, No. 1-3, 111-122 (2006). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65H10 68W30 12Y05 26C10 30C15 65H20 PDFBibTeX XMLCite \textit{A. Leykin} et al., Theor. Comput. Sci. 359, No. 1--3, 111--122 (2006; Zbl 1106.65046) Full Text: DOI arXiv