Xiao, Y.; Xiong, H. J.; Yu, B. Truncated aggregate homotopy method for nonconvex nonlinear programming. (English) Zbl 1282.90209 Optim. Methods Softw. 29, No. 1, 160-176 (2014). MSC: 90C34 90C46 49J52 90C51 90C90 PDF BibTeX XML Cite \textit{Y. Xiao} et al., Optim. Methods Softw. 29, No. 1, 160--176 (2014; Zbl 1282.90209) Full Text: DOI
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 PDF BibTeX XML Cite \textit{J. Chen} and \textit{L. Qi}, J. Optim. Theory Appl. 147, No. 2, 223--242 (2010; Zbl 1214.65024) Full Text: DOI
Cherfils, L. A parallel and adaptive continuation method for semilinear bifurcation problems. (English) Zbl 0940.65052 Comput. Methods Appl. Mech. Eng. 163, No. 1-4, 247-259 (1998). MSC: 65H17 65H20 65Y05 65N30 65N50 35P30 35B32 35J65 PDF BibTeX XML Cite \textit{L. Cherfils}, Comput. Methods Appl. Mech. Eng. 163, No. 1--4, 247--259 (1998; Zbl 0940.65052) Full Text: DOI
Morgan, Alexander P.; Watson, Layne T. A globally convergent parallel algorithm for zeros of polynomial systems. (English) Zbl 0704.65037 Nonlinear Anal., Theory Methods Appl. 13, No. 11, 1339-1350 (1989). Reviewer: K.-H.Bachmann MSC: 65H10 65H20 65Y05 PDF BibTeX XML Cite \textit{A. P. Morgan} and \textit{L. T. Watson}, Nonlinear Anal., Theory Methods Appl. 13, No. 11, 1339--1350 (1989; Zbl 0704.65037) Full Text: DOI
Watson, Layne T. Globally convergent homotopy methods: A tutorial. (English) Zbl 0689.65033 Appl. Math. Comput. 31, Spec. Issue, 369-396 (1989). Reviewer: B.Kearfott MSC: 65H10 PDF BibTeX XML Cite \textit{L. T. Watson}, Appl. Math. Comput. 31, 369--396 (1989; Zbl 0689.65033) Full Text: DOI
Allison, D. C. S.; Harimoto, S.; Watson, L. T. The granularity of parallel homotopy algorithms for polynomial systems of equations. (English) Zbl 0683.65038 Int. J. Comput. Math. 29, No. 1, 21-37 (1989). Reviewer: E.Allgower MSC: 65H10 65Y05 PDF BibTeX XML Cite \textit{D. C. S. Allison} et al., Int. J. Comput. Math. 29, No. 1, 21--37 (1989; Zbl 0683.65038) Full Text: DOI
Giovangigli, V.; Smooke, M. D. Adaptive continuation algorithms with application to combustion problems. (English) Zbl 0678.65058 Appl. Numer. Math. 5, No. 4, 305-331 (1989). Reviewer: M.Brokate MSC: 65L10 65H10 80A30 80A25 34B15 PDF BibTeX XML Cite \textit{V. Giovangigli} and \textit{M. D. Smooke}, Appl. Numer. Math. 5, No. 4, 305--331 (1989; Zbl 0678.65058) Full Text: DOI
Bank, Randolph E.; Mittelmann, Hans D. Stepsize selection in continuation procedures and damped Newton’s method. (English) Zbl 0675.65047 J. Comput. Appl. Math. 26, No. 1-2, 67-77 (1989). Reviewer: O.Hübner MSC: 65H10 PDF BibTeX XML Cite \textit{R. E. Bank} and \textit{H. D. Mittelmann}, J. Comput. Appl. Math. 26, No. 1--2, 67--77 (1989; Zbl 0675.65047) Full Text: DOI
Watson, Layne T.; Scott, Melvin R. Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method. (English) Zbl 0635.65099 Appl. Math. Comput. 24, 333-357 (1987). Reviewer: W.Zulehner MSC: 65L10 65H10 34B15 PDF BibTeX XML Cite \textit{L. T. Watson} and \textit{M. R. Scott}, Appl. Math. Comput. 24, 333--357 (1987; Zbl 0635.65099) Full Text: DOI
Holodniok, M.; Kubíĉek, M. Determination of invariant tori bifurcation points. (English) Zbl 0633.65067 Math. Comput. Simul. 29, 33-39 (1987). Reviewer: A.Coţiu MSC: 65L05 65K10 34C25 34A34 93C15 80A32 76D05 PDF BibTeX XML Cite \textit{M. Holodniok} and \textit{M. Kubíĉek}, Math. Comput. Simul. 29, 33--39 (1987; Zbl 0633.65067) Full Text: DOI
Menzel, Reinhard; Schwetlick, Hubert Parametrization via secant length and application to path following. (English) Zbl 0613.65052 Numer. Math. 47, 401-417 (1985). Reviewer: B.Kearfott MSC: 65H10 PDF BibTeX XML Cite \textit{R. Menzel} and \textit{H. Schwetlick}, Numer. Math. 47, 401--417 (1985; Zbl 0613.65052) Full Text: DOI EuDML
Joly, G.; Kernevez, J. P. Apparition de motifs géométriques dans une membrane enzymatique. (French) Zbl 0572.92004 RAIRO, Anal. Numér. 18, 87-116 (1984). Reviewer: W.S.Barański MSC: 92B05 35B32 35K55 92Cxx PDF BibTeX XML Cite \textit{G. Joly} and \textit{J. P. Kernevez}, RAIRO, Anal. Numér. 18, 87--116 (1984; Zbl 0572.92004) Full Text: DOI EuDML
Mejia, Raymond; Stephenson, John L. Solution of a multinephron, multisolute model of the mammalian kidney by Newton and continuation methods. (English) Zbl 0562.92002 Math. Biosci. 68, 279-298 (1984). Reviewer: K.K.Srivastava MSC: 92Cxx 76Z05 92-08 76Z99 76M99 PDF BibTeX XML Cite \textit{R. Mejia} and \textit{J. L. Stephenson}, Math. Biosci. 68, 279--298 (1984; Zbl 0562.92002) Full Text: DOI
Wood, Eric F.; Kempf, James A.; Mehra, Raman K. BISTAB: A portable bifurcation and stability analysis package. (English) Zbl 0547.65048 Appl. Math. Comput. 15, 343-355 (1984). MSC: 65H17 PDF BibTeX XML Cite \textit{E. F. Wood} et al., Appl. Math. Comput. 15, 343--355 (1984; Zbl 0547.65048) Full Text: DOI
Brunovský, Pavol; Meravý, Pavol Solving systems of polynomial equations by bounded and real homotopy. (English) Zbl 0543.65030 Numer. Math. 43, 397-418 (1984). Reviewer: W.Zulehner MSC: 65H10 55M25 PDF BibTeX XML Cite \textit{P. Brunovský} and \textit{P. Meravý}, Numer. Math. 43, 397--418 (1984; Zbl 0543.65030) Full Text: DOI EuDML
Kubiček, Milan; Klič, Alois Direction of branches bifurcating at a bifurcation point. Determination of starting points for a continuation algorithm. (English) Zbl 0536.65032 Appl. Math. Comput. 13, 125-142 (1983). Reviewer: Raoul F. Gloden (Ispra) MSC: 65H17 PDF BibTeX XML Cite \textit{M. Kubiček} and \textit{A. Klič}, Appl. Math. Comput. 13, 125--142 (1983; Zbl 0536.65032) Full Text: DOI
Joly, G.; Kernevez, J. P.; Sharan, M. Continuation of Galerkin approximations for reaction-diffusion problems. (English) Zbl 0535.65080 Acta Appl. Math. 1, 263-279 (1983). Reviewer: U.Hornung MSC: 65N25 65L15 65N30 34L99 35P15 92Cxx PDF BibTeX XML Cite \textit{G. Joly} et al., Acta Appl. Math. 1, 263--279 (1983; Zbl 0535.65080) Full Text: DOI
Seydel, R. Branch switching in bifurcation problems for ordinary differential equations. (English) Zbl 0516.65073 Numer. Math. 41, 93-116 (1983). MSC: 65L15 34L99 PDF BibTeX XML Cite \textit{R. Seydel}, Numer. Math. 41, 93--116 (1983; Zbl 0516.65073) Full Text: DOI EuDML
Ypma, T. J. Following paths through turning points. (English) Zbl 0491.65033 BIT 22, 368-383 (1982). MSC: 65H10 PDF BibTeX XML Cite \textit{T. J. Ypma}, BIT 22, 368--383 (1982; Zbl 0491.65033) Full Text: DOI
Watson, Layne T. Engineering applications of the Chow-Yorke algorithm. (English) Zbl 0481.65029 Appl. Math. Comput. 9, 111-133 (1981). MSC: 65H10 65K05 90C33 90C25 PDF BibTeX XML Cite \textit{L. T. Watson}, Appl. Math. Comput. 9, 111--133 (1981; Zbl 0481.65029) Full Text: DOI
Paumier, Jean-Claude Une méthode numérique pour le calcul des points de retournement. Application à un problème aux limites non-linéaire. I: Étude théorique et experimentation de la méthode. (French) Zbl 0449.65024 Numer. Math. 37, 433-444 (1981). MSC: 65H17 65N30 35J65 65H10 PDF BibTeX XML Cite \textit{J.-C. Paumier}, Numer. Math. 37, 433--444 (1981; Zbl 0449.65024) Full Text: DOI EuDML
Watson, Layne T. A globally convergent algorithm for computing fixed points of \(C^2\) maps. (English) Zbl 0445.65032 Appl. Math. Comput. 5, 297-311 (1979). MSC: 65H10 54H25 68Q25 PDF BibTeX XML Cite \textit{L. T. Watson}, Appl. Math. Comput. 5, 297--311 (1979; Zbl 0445.65032) Full Text: DOI
Watson, Layne T. Fixed points of \(C^2\) maps. (English) Zbl 0445.65031 J. Comput. Appl. Math. 5, 131-139 (1979). MSC: 65H10 54H25 68Q25 65-04 PDF BibTeX XML Cite \textit{L. T. Watson}, J. Comput. Appl. Math. 5, 131--139 (1979; Zbl 0445.65031) Full Text: DOI
Kubicek, Milan; Marek, Milos Evaluation of limit and bifurcation points for algebraic equations and nonlinear boundary-value problems. (English) Zbl 0411.65027 Appl. Math. Comput. 5, 253-264 (1979). MSC: 65H10 65L10 47J25 65J15 PDF BibTeX XML Cite \textit{M. Kubicek} and \textit{M. Marek}, Appl. Math. Comput. 5, 253--264 (1979; Zbl 0411.65027) Full Text: DOI
Abbott, James P. An efficient algorithm for the determination of certain bifurcation points. (English) Zbl 0384.65022 J. Comput. Appl. Math. 4, 19-27 (1978). MSC: 65H10 PDF BibTeX XML Cite \textit{J. P. Abbott}, J. Comput. Appl. Math. 4, 19--27 (1978; Zbl 0384.65022) Full Text: DOI