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
Zhu, Zhichuan; Yao, Yonghong; Postolache, Mihai Globally convergent method for designing twice spline contractual function. (English) Zbl 1499.91050 J. Inequal. Appl. 2019, Paper No. 283, 15 p. (2019). MSC: 91B43 65H20 65D07 PDFBibTeX XMLCite \textit{Z. Zhu} et al., J. Inequal. Appl. 2019, Paper No. 283, 15 p. (2019; Zbl 1499.91050) Full Text: DOI
Zhu, Zhichuan; Yu, Bo A modified homotopy method for solving the principal-agent bilevel programming problem. (English) Zbl 1409.91157 Comput. Appl. Math. 37, No. 1, 541-566 (2018). MSC: 91B40 90C26 14F99 PDFBibTeX XMLCite \textit{Z. Zhu} and \textit{B. Yu}, Comput. Appl. Math. 37, No. 1, 541--566 (2018; Zbl 1409.91157) Full Text: DOI
Easterling, David R.; Watson, Layne T.; Ramakrishnan, Naren Probability-one homotopy methods for constrained clustering. (English) Zbl 1478.62162 J. Comput. Appl. Math. 343, 602-618 (2018). MSC: 62H30 65H20 90C29 PDFBibTeX XMLCite \textit{D. R. Easterling} et al., J. Comput. Appl. Math. 343, 602--618 (2018; Zbl 1478.62162) Full Text: DOI
Chen, Tianran; Lee, Tsung-Lin; Li, Tien-Yien Mixed cell computation in HOM4ps. (English) Zbl 1365.13047 J. Symb. Comput. 79, Part 3, 516-534 (2017). Reviewer: Thomas Kahle (Magdeburg) MSC: 13P15 68W10 52B55 65Y05 65Y20 05C85 14Q99 PDFBibTeX XMLCite \textit{T. Chen} et al., J. Symb. Comput. 79, Part 3, 516--534 (2017; Zbl 1365.13047) Full Text: DOI
Torres-Muñoz, Delia; Hernandez-Martinez, Luis; Vázquez-Leal, Héctor Spherical continuation algorithm with spheres of variable radius to trace homotopy curves. (English) Zbl 07322713 Int. J. Appl. Comput. Math. 2, No. 3, 421-433 (2016). MSC: 65H20 PDFBibTeX XMLCite \textit{D. Torres-Muñoz} et al., Int. J. Appl. Comput. Math. 2, No. 3, 421--433 (2016; Zbl 07322713) Full Text: DOI
Yang, Li; Yu, Bo; Li, Yanxi A homotopy method for nonlinear second-order cone programming. (English) Zbl 1321.65101 Numer. Algorithms 68, No. 2, 355-365 (2015). Reviewer: Guoqiang Wang (Shanghai) MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{L. Yang} et al., Numer. Algorithms 68, No. 2, 355--365 (2015; Zbl 1321.65101) Full Text: DOI
Torres-Muñoz, D.; Vazquez-Leal, H.; Hernandez-Martinez, L.; Sarmiento-Reyes, A. Improved spherical continuation algorithm with application to the double-bounded homotopy (DBH). (English) Zbl 1307.65071 Comput. Appl. Math. 33, No. 1, 147-161 (2014). MSC: 65H20 PDFBibTeX XMLCite \textit{D. Torres-Muñoz} et al., Comput. Appl. Math. 33, No. 1, 147--161 (2014; Zbl 1307.65071) Full Text: DOI
Chen, Tianran; Lee, Tsung-Lin; Li, Tien-Yien Hom4PS-3: a parallel numerical solver for systems of polynomial equations based on polyhedral homotopy continuation methods. (English) Zbl 1434.65065 Hong, Hoon (ed.) et al., Mathematical software – ICMS 2014. 4th international congress, Seoul, South Korea, August 5–9, 2014. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8592, 183-190 (2014). MSC: 65H04 65Y05 PDFBibTeX XMLCite \textit{T. Chen} et al., Lect. Notes Comput. Sci. 8592, 183--190 (2014; Zbl 1434.65065) Full Text: DOI
Zhu, Zhichuan; Yu, Bo; Yang, Li Globally convergent homotopy method for designing piecewise linear deterministic contractual function. (English) Zbl 1282.91178 J. Ind. Manag. Optim. 10, No. 3, 717-741 (2014). MSC: 91B40 90C26 90C30 90-08 PDFBibTeX XMLCite \textit{Z. Zhu} et al., J. Ind. Manag. Optim. 10, No. 3, 717--741 (2014; Zbl 1282.91178) Full Text: DOI
Vazquez-Leal, H.; Marin-Hernandez, A.; Khan, Y.; Yıldırım, A.; Filobello-Nino, U.; Castaneda-Sheissa, R.; Jimenez-Fernandez, V. M. Exploring collision-free path planning by using homotopy continuation methods. (English) Zbl 1366.70011 Appl. Math. Comput. 219, No. 14, 7514-7532 (2013). MSC: 70E60 PDFBibTeX XMLCite \textit{H. Vazquez-Leal} et al., Appl. Math. Comput. 219, No. 14, 7514--7532 (2013; Zbl 1366.70011) Full Text: DOI
Zhu, Zhichuan; Yu, Bo; Shang, Yufeng A modified homotopy method for solving nonconvex fixed points problems. (English) Zbl 1294.47078 Fixed Point Theory 14, No. 2, 531-544 (2013). Reviewer: Mugur Acu (Sibiu) MSC: 47H10 55M20 PDFBibTeX XMLCite \textit{Z. Zhu} et al., Fixed Point Theory 14, No. 2, 531--544 (2013; Zbl 1294.47078) Full Text: Link
Yang, Fenlin; Chen, Ke; Yu, Bo Efficient homotopy solution and a convex combination of ROF and LLT models for image restoration. (English) Zbl 1264.35288 Int. J. Numer. Anal. Model. 9, No. 4, 907-927 (2012). MSC: 35R35 49J40 60G40 65D18 PDFBibTeX XMLCite \textit{F. Yang} et al., Int. J. Numer. Anal. Model. 9, No. 4, 907--927 (2012; Zbl 1264.35288) Full Text: Link
Yang, Ai-Li; Wu, Yu-Jiang Newton-MHSS methods for solving systems of nonlinear equations with complex symmetric Jacobian matrices. (English) Zbl 1263.65047 Numer. Algebra Control Optim. 2, No. 4, 839-853 (2012). Reviewer: T. C. Mohan (Dehra Dun) MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{A.-L. Yang} and \textit{Y.-J. Wu}, Numer. Algebra Control Optim. 2, No. 4, 839--853 (2012; Zbl 1263.65047) Full Text: DOI
Yang, Fenlin; Chen, Ke; Yu, Bo Homotopy method for a mean curvature-based denoising model. (English) Zbl 1416.65173 Appl. Numer. Math. 62, No. 3, 185-200 (2012). MSC: 65K10 PDFBibTeX XMLCite \textit{F. Yang} et al., Appl. Numer. Math. 62, No. 3, 185--200 (2012; Zbl 1416.65173) Full Text: DOI
Fan, Xiaona; Yan, Qinglun Homotopy method for solving ball-constrained variational inequalities. (English) Zbl 1211.90246 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1539-1544 (2011). MSC: 90C33 90C30 65C20 65L05 PDFBibTeX XMLCite \textit{X. Fan} and \textit{Q. Yan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1539--1544 (2011; Zbl 1211.90246) Full Text: DOI
Bonilla, Julián; Diehl, Moritz; Logist, Filip; De Moor, Bart; Van Impe, Jan F. M. A convexity-based homotopy method for nonlinear optimization in model predictive control. (English) Zbl 1202.49035 Optim. Control Appl. Methods 31, No. 5, 393-414 (2010). MSC: 49M30 90C25 34H05 PDFBibTeX XMLCite \textit{J. Bonilla} et al., Optim. Control Appl. Methods 31, No. 5, 393--414 (2010; Zbl 1202.49035) Full Text: DOI Link
Herings, P. Jean-Jacques; Peeters, Ronald Homotopy methods to compute equilibria in game theory. (English) Zbl 1185.91028 Econ. Theory 42, No. 1, 119-156 (2010). Reviewer: Milan Mareš (Praha) MSC: 91A10 65H20 91A25 91A18 PDFBibTeX XMLCite \textit{P. J. J. Herings} and \textit{R. Peeters}, Econ. Theory 42, No. 1, 119--156 (2010; Zbl 1185.91028) Full Text: DOI
Pérez, Victor M.; Renaud, John E.; Watson, Layne T. Homotopy curve tracking in approximate interior point optimization. (English) Zbl 1273.90239 Optim. Eng. 10, No. 1, 91-108 (2009). MSC: 90C51 65K10 PDFBibTeX XMLCite \textit{V. M. Pérez} et al., Optim. Eng. 10, No. 1, 91--108 (2009; Zbl 1273.90239) Full Text: DOI
Chen, Yong; An, Hongli Homotopy perturbation method for a type of nonlinear coupled equations with parameters derivative. (English) Zbl 1157.65515 Appl. Math. Comput. 204, No. 2, 764-772 (2008). MSC: 65R20 45K05 35Q53 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{H. An}, Appl. Math. Comput. 204, No. 2, 764--772 (2008; Zbl 1157.65515) Full Text: DOI
Ramos, J. I. Piecewise homotopy methods for nonlinear ordinary differential equations. (English) Zbl 1137.65048 Appl. Math. Comput. 198, No. 1, 92-116 (2008). MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{J. I. Ramos}, Appl. Math. Comput. 198, No. 1, 92--116 (2008; Zbl 1137.65048) Full Text: DOI
Sommese, Andrew J.; Wampler, Charles W. II The numerical solution of systems of polynomials. Arising in engineering and science. (English) Zbl 1091.65049 River Edge, NJ: World Scientific (ISBN 981-256-184-6/hbk; 978-981-256-772-7/ebook). xxii, 401 p. (2005). Reviewer: Zhen Mei (Toronto) MSC: 65H10 12Y05 26C10 30C15 14Q15 13P10 65H20 65-02 PDFBibTeX XMLCite \textit{A. J. Sommese} and \textit{C. W. Wampler II}, The numerical solution of systems of polynomials. Arising in engineering and science. River Edge, NJ: World Scientific (2005; Zbl 1091.65049) Full Text: DOI Link
Chang, S.-L.; Chien, C.-S. A multigrid-Lanczos algorithm for the numerical solutions of nonlinear eigenvalue problems. (English) Zbl 1062.65117 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 5, 1217-1228 (2003). MSC: 65N25 65H17 35P30 35B32 65N12 65H20 PDFBibTeX XMLCite \textit{S. L. Chang} and \textit{C. S. Chien}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 5, 1217--1228 (2003; Zbl 1062.65117) Full Text: DOI
Birgin, E. G.; Krejić, N.; Martínez, J. M. Solution of bounded nonlinear systems of equations using homotopies with inexact restoration. (English) Zbl 1021.65025 Int. J. Comput. Math. 80, No. 2, 211-222 (2003). MSC: 65H10 65H20 80A30 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Int. J. Comput. Math. 80, No. 2, 211--222 (2003; Zbl 1021.65025) Full Text: DOI
Zufiria, Pedro J.; Guttalu, Ramesh S. On the role of singularities in Branin’s method from dynamic and continuation perspectives. (English) Zbl 1040.65042 Appl. Math. Comput. 130, No. 2-3, 593-618 (2002). Reviewer: Aurel Galántai (Miskolc-Egyetemvaros) MSC: 65H10 PDFBibTeX XMLCite \textit{P. J. Zufiria} and \textit{R. S. Guttalu}, Appl. Math. Comput. 130, No. 2--3, 593--618 (2002; Zbl 1040.65042) Full Text: DOI
Watson, Layne T. Probability-one homotopies in computational science. (English) Zbl 0996.65055 J. Comput. Appl. Math. 140, No. 1-2, 785-807 (2002). MSC: 65H20 65H10 65K05 65Y15 PDFBibTeX XMLCite \textit{L. T. Watson}, J. Comput. Appl. Math. 140, No. 1--2, 785--807 (2002; Zbl 0996.65055) Full Text: DOI
Ragon, S. A.; Gürdal, Z.; Watson, L. T. A comparison of three algorithms for tracing nonlinear equilibrium paths of structural systems. (English) Zbl 1011.74043 Int. J. Solids Struct. 39, No. 3, 689-698 (2002). MSC: 74K99 74S30 PDFBibTeX XMLCite \textit{S. A. Ragon} et al., Int. J. Solids Struct. 39, No. 3, 689--698 (2002; Zbl 1011.74043) Full Text: DOI
Billups, Stephen C.; Watson, Layne T. A probability-one homotopy algorithm for nonsmooth equations and mixed complementarity problems. (English) Zbl 1040.65043 SIAM J. Optim. 12, No. 3, 606-626 (2002). Reviewer: Berwin A. Turlach (Crawley) MSC: 65H20 65K05 65H10 90C33 PDFBibTeX XMLCite \textit{S. C. Billups} and \textit{L. T. Watson}, SIAM J. Optim. 12, No. 3, 606--626 (2002; Zbl 1040.65043) Full Text: DOI
Wang, Y.; Bernstein, D. S.; Watson, L. T. Probability-one homotopy algorithms for solving the coupled Lyapunov equations arising in reduced-order \(H^2/H^\infty\) modeling, estimation, and control. (English) Zbl 1028.93011 Appl. Math. Comput. 123, No. 2, 155-185 (2001). Reviewer: M.M.Konstantinov (Sofia) MSC: 93B40 65H20 93B36 15A24 93B11 93B50 PDFBibTeX XMLCite \textit{Y. Wang} et al., Appl. Math. Comput. 123, No. 2, 155--185 (2001; Zbl 1028.93011) Full Text: DOI
Billups, Stephen C.; Speight, Adam L.; Watson, Layne T. Nonmonotone path following methods for nonsmooth equations and complementarity problems. (English) Zbl 0983.90062 Ferris, Michael C. (ed.) et al., Complementarity: applications, algorithms and extensions. Papers from the international conference on complementarity (ICCP 99), Madison, WI, USA, June 9-12, 1999. Dordrecht: Kluwer Academic Publishers. Appl. Optim. 50, 19-41 (2001). MSC: 90C33 90C51 PDFBibTeX XMLCite \textit{S. C. Billups} et al., Appl. Optim. 50, 19--41 (2001; Zbl 0983.90062)
Hu, Jinglu; Hirasawa, Kotaro; Kumamaru, Kousuke A homotopy approach to improving PEM identification of ARMAX models. (English) Zbl 0983.93009 Automatica 37, No. 9, 1323-1334 (2001). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 93B30 93E24 PDFBibTeX XMLCite \textit{J. Hu} et al., Automatica 37, No. 9, 1323--1334 (2001; Zbl 0983.93009) Full Text: DOI
Wise, Steven M.; Sommese, Andrew J.; Watson, Layne T. Algorithm 801: POLSYS_PLP. A partitioned linear product homotopy code for solving polynomial systems of equations. (English) Zbl 1137.65353 ACM Trans. Math. Softw. 26, No. 1, 176-200 (2000). MSC: 65H20 65H10 65Y15 68W30 PDFBibTeX XMLCite \textit{S. M. Wise} et al., ACM Trans. Math. Softw. 26, No. 1, 176--200 (2000; Zbl 1137.65353) Full Text: DOI
Rheinboldt, Werner C. Numerical continuation methods: a perspective. (English) Zbl 0966.65049 J. Comput. Appl. Math. 124, No. 1-2, 229-244 (2000). Reviewer: Eugene L.Allgower (Fort Collins) MSC: 65H20 65-03 01A60 65H10 PDFBibTeX XMLCite \textit{W. C. Rheinboldt}, J. Comput. Appl. Math. 124, No. 1--2, 229--244 (2000; Zbl 0966.65049) Full Text: DOI
Verschelde, Jan Toric Newton method for polynomial homotopies. (English) Zbl 0992.65048 J. Symb. Comput. 29, No. 4-5, 777-793 (2000). MSC: 65H10 12Y05 26C10 30C15 65H20 PDFBibTeX XMLCite \textit{J. Verschelde}, J. Symb. Comput. 29, No. 4--5, 777--793 (2000; Zbl 0992.65048) Full Text: DOI Link
Verschelde, Jan Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation. (English) Zbl 0961.65047 ACM Trans. Math. Softw. 25, No. 2, 251-276 (1999). MSC: 65H10 12Y05 26C10 30C15 65Y15 65Y20 PDFBibTeX XMLCite \textit{J. Verschelde}, ACM Trans. Math. Softw. 25, No. 2, 251--276 (1999; Zbl 0961.65047) Full Text: DOI
Yamamura, Kiyotaka; Sekiguchi, Tooru; Inoue, Yasuaki A fixed-point homotopy method for solving modified nodal equations. (English) Zbl 0952.94016 IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 46, No. 6, 654-665 (1999). MSC: 94C05 65H17 PDFBibTeX XMLCite \textit{K. Yamamura} et al., IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 46, No. 6, 654--665 (1999; Zbl 0952.94016) Full Text: DOI
Eaves, B. Curtis; Schmedders, Karl General equilibrium models and homotopy methods. (English) Zbl 1016.91074 J. Econ. Dyn. Control 23, No. 9-10, 1249-1279 (1999). MSC: 91B50 65H20 91-08 PDFBibTeX XMLCite \textit{B. C. Eaves} and \textit{K. Schmedders}, J. Econ. Dyn. Control 23, No. 9--10, 1249--1279 (1999; Zbl 1016.91074) Full Text: DOI
Schmedders, Karl Computing equilibria in the general equilibrium model with incomplete asset markets. (English) Zbl 0912.90047 J. Econ. Dyn. Control 22, No. 8-9, 1375-1401 (1998). MSC: 91B50 90C90 90-08 PDFBibTeX XMLCite \textit{K. Schmedders}, J. Econ. Dyn. Control 22, No. 8--9, 1375--1401 (1998; Zbl 0912.90047) Full Text: DOI
Yang, C. M.; Beck, J. L. Generalized trajectory methods for finding multiple extrema and roots of functions. (English) Zbl 0907.90253 J. Optimization Theory Appl. 97, No. 1, 211-227 (1998). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{C. M. Yang} and \textit{J. L. Beck}, J. Optim. Theory Appl. 97, No. 1, 211--227 (1998; Zbl 0907.90253) Full Text: DOI
Albrecht, Gudrun; Farouki, Rida T. Construction of \(C^ 2\) Pythagorean-hodograph interpolating splines by the homotopy method. (English) Zbl 0866.65008 Adv. Comput. Math. 5, No. 4, 417-442 (1996). Reviewer: E.Neuman (Carbondale) MSC: 65D07 65D05 41A15 PDFBibTeX XMLCite \textit{G. Albrecht} and \textit{R. T. Farouki}, Adv. Comput. Math. 5, No. 4, 417--442 (1996; Zbl 0866.65008) Full Text: DOI
Ge, Y.; Watson, L. T.; Collins, E. G. jun. A comparison of homotopies for alternative formulations of the \(L^ 2\) optimal model order reduction problem. (English) Zbl 0864.93028 J. Comput. Appl. Math. 69, No. 2, 215-241 (1996). Reviewer: R.Guidorzi (Bologna) MSC: 93B11 93B20 93B17 93B40 PDFBibTeX XMLCite \textit{Y. Ge} et al., J. Comput. Appl. Math. 69, No. 2, 215--241 (1996; Zbl 0864.93028) Full Text: DOI
Demarzo, Peter M.; Eaves, B. Curtis Computing equilibria of GEI by relocalization on a Grassmann manifold. (English) Zbl 0876.90026 J. Math. Econ. 26, No. 4, 479-497 (1996). MSC: 91B50 90C90 90-08 65H20 PDFBibTeX XMLCite \textit{P. M. Demarzo} and \textit{B. C. Eaves}, J. Math. Econ. 26, No. 4, 479--497 (1996; Zbl 0876.90026) Full Text: DOI
Melville, R.; Mackey, D. S. A new algorithm for two-dimensional numerical continuation. (English) Zbl 0840.65037 Comput. Math. Appl. 30, No. 1, 31-46 (1995). Reviewer: W.C.Rheinboldt (Pittsburgh) MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{R. Melville} and \textit{D. S. Mackey}, Comput. Math. Appl. 30, No. 1, 31--46 (1995; Zbl 0840.65037) Full Text: DOI
Verschelde, Jan; Haegemans, Ann Homotopies for solving polynomial systems within a bounded domain. (English) Zbl 0811.65041 Theor. Comput. Sci. 133, No. 1, 165-185 (1994). Reviewer: E.L.Allgower (Fort Collins) MSC: 65H10 65H20 26C10 30C15 12Y05 PDFBibTeX XMLCite \textit{J. Verschelde} and \textit{A. Haegemans}, Theor. Comput. Sci. 133, No. 1, 165--185 (1994; Zbl 0811.65041) Full Text: DOI
Verschelde, Jan; Cools, Ronald Symmetric homotopy construction. (English) Zbl 0806.65055 J. Comput. Appl. Math. 50, No. 1-3, 575-592 (1994). Reviewer: E.L.Allgower (Fort Collins) MSC: 65H20 65H10 30C15 PDFBibTeX XMLCite \textit{J. Verschelde} and \textit{R. Cools}, J. Comput. Appl. Math. 50, No. 1--3, 575--592 (1994; Zbl 0806.65055) Full Text: DOI
Rakowska, Joanna; Haftka, Raphael T.; Watson, Layne T. Multi-objective control-structure optimization via homotopy methods. (English) Zbl 0787.65037 SIAM J. Optim. 3, No. 3, 654-667 (1993). Reviewer: E.L.Allgower (Fort Collins) MSC: 65K05 65H20 90C29 PDFBibTeX XMLCite \textit{J. Rakowska} et al., SIAM J. Optim. 3, No. 3, 654--667 (1993; Zbl 0787.65037) Full Text: DOI
Verschelde, Jan; Haegemans, Ann The GBQ-algorithm for constructing start systems of homotopies for polynomial systems. (English) Zbl 0806.65054 SIAM J. Numer. Anal. 30, No. 2, 583-594 (1993). Reviewer: Deng Naiyang (Beijing) MSC: 65H20 65H10 PDFBibTeX XMLCite \textit{J. Verschelde} and \textit{A. Haegemans}, SIAM J. Numer. Anal. 30, No. 2, 583--594 (1993; Zbl 0806.65054) Full Text: DOI
Morgan, Alexander P.; Sommese, Andrew J. Errata: Computing all solutions to polynomial systems using homotopy continuation. (English) Zbl 0777.65032 Appl. Math. Comput. 51, No. 2-3, 209 (1992). MSC: 65H10 65H20 30C15 PDFBibTeX XMLCite \textit{A. P. Morgan} and \textit{A. J. Sommese}, Appl. Math. Comput. 51, No. 2--3, 209 (1992; Zbl 0777.65032) Full Text: DOI
Kostreva, Michael M.; Ordoyne, Thomas J.; Wiecek, Malgorzata Multiple-objective programming with polynomial objectives and constraints. (English) Zbl 0774.90073 Eur. J. Oper. Res. 57, No. 3, 381-394 (1992). Reviewer: J.Jahn (Erlangen) MSC: 90C29 90C30 90-08 PDFBibTeX XMLCite \textit{M. M. Kostreva} et al., Eur. J. Oper. Res. 57, No. 3, 381--394 (1992; Zbl 0774.90073) Full Text: DOI
Morgan, Alexander P.; Sommese, Andrew J.; Wampler, Charles W. A power series method for computing singular solutions to nonlinear analytic systems. (English) Zbl 0756.65079 Numer. Math. 63, No. 3, 391-409 (1992). Reviewer: A.P.Morgan MSC: 65H10 65E05 65H20 PDFBibTeX XMLCite \textit{A. P. Morgan} et al., Numer. Math. 63, No. 3, 391--409 (1992; Zbl 0756.65079) Full Text: DOI EuDML
Watson, Layne T.; Morgan, Alexander P. Polynomial programming using multi-homogeneous polynomial continuation. (English) Zbl 0763.65047 J. Comput. Appl. Math. 43, No. 3, 373-382 (1992). Reviewer: R.Lepp (Tallinn) MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{L. T. Watson} and \textit{A. P. Morgan}, J. Comput. Appl. Math. 43, No. 3, 373--382 (1992; Zbl 0763.65047) Full Text: DOI
Žigić, Dragan; Watson, Layne T.; Collins, Emmanuel G. jun.; Bernstein, Dennis S. Homotopy methods for solving the optimal projection equations for the \(H_ 2\) reduced order model problem. (English) Zbl 0766.93009 Int. J. Control 56, No. 1, 173-191 (1992). Reviewer: T.Sawik (Kraków) MSC: 93B11 93B29 93B25 PDFBibTeX XMLCite \textit{D. Žigić} et al., Int. J. Control 56, No. 1, 173--191 (1992; Zbl 0766.93009) Full Text: DOI
Allison, D. C. S.; Irani, K. M.; Ribbens, C. J.; Watson, L. T. High-dimensional homotopy curve tracking on a shared-memory multiprocessor. (English) Zbl 0749.65032 J. Supercomput. 5, No. 4, 347-366 (1992). Reviewer: E.L.Allgower (Fort Collins) MSC: 65H10 65H20 65Y05 PDFBibTeX XMLCite \textit{D. C. S. Allison} et al., J. Supercomput. 5, No. 4, 347--366 (1992; Zbl 0749.65032) Full Text: DOI
Desa, Colin; Irani, Kashmira M.; Ribbens, Calvin J.; Watson, Layne T.; Walker, Homer F. Preconditioned iterative methods for homotopy curve tracking. (English) Zbl 0747.65035 SIAM J. Sci. Stat. Comput. 13, No. 1, 30-46 (1992). Reviewer: J.Vaníček (Praha) MSC: 65H20 65H10 PDFBibTeX XMLCite \textit{C. Desa} et al., SIAM J. Sci. Stat. Comput. 13, No. 1, 30--46 (1992; Zbl 0747.65035) Full Text: DOI
Watson, Layne T.; Wang, C.-Y. Large deformations of rotating polygonal space structures. (English) Zbl 0749.70020 Comput. Math. Appl. 22, No. 9, 51-59 (1991). MSC: 70M20 74H45 PDFBibTeX XMLCite \textit{L. T. Watson} and \textit{C. Y. Wang}, Comput. Math. Appl. 22, No. 9, 51--59 (1991; Zbl 0749.70020) Full Text: DOI
Wang, C.-Y.; Watson, L. T. Large deformations of a whirling elastic cable. (English) Zbl 0732.73030 Acta Mech. 87, No. 1-2, 47-57 (1991). MSC: 74B20 74K05 74S30 65H10 PDFBibTeX XMLCite \textit{C. Y. Wang} and \textit{L. T. Watson}, Acta Mech. 87, No. 1--2, 47--57 (1991; Zbl 0732.73030) Full Text: DOI
Kostreva, M. M.; Kinard, L. A. A differentiable homotopy approach for solving polynomial optimization problems and noncooperative games. (English) Zbl 0721.90071 Comput. Math. Appl. 21, No. 6-7, 135-143 (1991). Reviewer: M.M.Kostreva MSC: 90C30 91A10 65H20 90C33 65H10 90-08 65K05 PDFBibTeX XMLCite \textit{M. M. Kostreva} and \textit{L. A. Kinard}, Comput. Math. Appl. 21, No. 6--7, 135--143 (1991; Zbl 0721.90071) Full Text: DOI
Morgan, Alexander P.; Sommese, Andrew J.; Wampler, Charles W. Computing singular solutions to nonlinear analytic systems. (English) Zbl 0721.65027 Numer. Math. 58, No. 7, 669-684 (1991). Reviewer: H.Matthies (Hamburg) MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{A. P. Morgan} et al., Numer. Math. 58, No. 7, 669--684 (1991; Zbl 0721.65027) Full Text: DOI EuDML
Kalaba, R.; Tesfatsion, L. Solving nonlinear equations by adaptive homotopy continuation. (English) Zbl 0717.65031 Appl. Math. Comput. 41, No. 2, 99-115 (1991). Reviewer: E.Allgower MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{R. Kalaba} and \textit{L. Tesfatsion}, Appl. Math. Comput. 41, No. 2, 99--115 (1991; Zbl 0717.65031) Full Text: DOI
Watson, Layne T. A survey of probability-one homotopy methods for engineering optimization. (English) Zbl 0760.65065 Arabian J. Sci. Eng. 16, No. 2b, 297-323 (1991). Reviewer: W.Zulehner (Linz) MSC: 65K05 65H20 90C30 65H10 PDFBibTeX XMLCite \textit{L. T. Watson}, Arabian J. Sci. Eng. 16, No. 2, 297--323 (1991; Zbl 0760.65065)
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
Bourji, Samih K.; Walker, Homer F. Least-change secant updates of nonsquare matrices. (English) Zbl 0719.65043 SIAM J. Numer. Anal. 27, No. 5, 1263-1294 (1990). Reviewer: A.Roose (Tallinn) MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{S. K. Bourji} and \textit{H. F. Walker}, SIAM J. Numer. Anal. 27, No. 5, 1263--1294 (1990; Zbl 0719.65043) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{L. T. Watson}, Appl. Math. Comput. 31, 369--396 (1989; Zbl 0689.65033) Full Text: DOI
Martin, C.; Miller, J.; Pearce, K. Numerical solution of positive sum exponential equations. (English) Zbl 0685.65047 Appl. Math. Comput. 34, No. 2, 89-93 (1989). Reviewer: Dietrich Braess (Bochum) MSC: 65H10 11L03 11T23 65D05 41A30 PDFBibTeX XMLCite \textit{C. Martin} et al., Appl. Math. Comput. 34, No. 2, 89--93 (1989; Zbl 0685.65047) 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 PDFBibTeX XMLCite \textit{D. C. S. Allison} et al., Int. J. Comput. Math. 29, No. 1, 21--37 (1989; Zbl 0683.65038) Full Text: DOI Link
Morgan, Alexander P.; Sommese, Andrew J.; Watson, Layne T. Finding all isolated solutions to polynomial systems using HOMPACK. (English) Zbl 0900.65151 ACM Trans. Math. Softw. 15, No. 2, 93-122 (1989). MSC: 65H10 12Y05 30C15 65H20 PDFBibTeX XMLCite \textit{A. P. Morgan} et al., ACM Trans. Math. Softw. 15, No. 2, 93--122 (1989; Zbl 0900.65151) Full Text: DOI Link Link
Kumar, S. Kishore; Thacker, William I.; Watson, Layne T. Magnetohydrodynamic flow past a porous rotating disk in a circular magnetic field. (English) Zbl 0668.76151 Int. J. Numer. Methods Fluids 8, No. 6, 659-669 (1988). MSC: 76W05 76S05 76M99 PDFBibTeX XMLCite \textit{S. K. Kumar} et al., Int. J. Numer. Methods Fluids 8, No. 6, 659--669 (1988; Zbl 0668.76151) Full Text: DOI Link
Li, T. Y.; Sauer, Tim; Yorke, James A. The random product homotopy and deficient polynomial systems. (English) Zbl 0656.65055 Numer. Math. 51, 481-500 (1987). Reviewer: B.Kearfott MSC: 65H10 26C10 65H17 PDFBibTeX XMLCite \textit{T. Y. Li} et al., Numer. Math. 51, 481--500 (1987; Zbl 0656.65055) Full Text: DOI EuDML
Watson, Layne T.; Scott, L. Ridgway Solving Galerkin approximations to nonlinear two-point boundary value problems by a globally convergent homotopy method. (English) Zbl 0645.65043 SIAM J. Sci. Stat. Comput. 8, 768-789 (1987). Reviewer: Z.Jackiewicz MSC: 65L10 65H10 65L60 34B15 PDFBibTeX XMLCite \textit{L. T. Watson} and \textit{L. R. Scott}, SIAM J. Sci. Stat. Comput. 8, 768--789 (1987; Zbl 0645.65043) Full Text: DOI Link
Morgan, Alexander; Sommese, Andrew Computing all solutions to polynomial systems using homotopy continuation. (English) Zbl 0635.65058 Appl. Math. Comput. 24, 115-138 (1987). Reviewer: C.Schmidt-Lainé MSC: 65H10 30C15 PDFBibTeX XMLCite \textit{A. Morgan} and \textit{A. Sommese}, Appl. Math. Comput. 24, 115--138 (1987; Zbl 0635.65058) Full Text: DOI
Morgan, Alexander; Sommese, Andrew A homotopy for solving general polynomial systems that respects m- homogeneous structures. (English) Zbl 0635.65057 Appl. Math. Comput. 24, 101-113 (1987). Reviewer: C.Schmidt-Lainé MSC: 65H10 30C15 PDFBibTeX XMLCite \textit{A. Morgan} and \textit{A. Sommese}, Appl. Math. Comput. 24, 101--113 (1987; Zbl 0635.65057) Full Text: DOI
Watson, Layne T.; Billups, Stephen C.; Morgan, Alexander P. HOMPACK: A suite of codes for globally convergent homotopy algorithms. (English) Zbl 0626.65049 ACM Trans. Math. Softw. 13, 281-310 (1987). MSC: 65H10 65H17 PDFBibTeX XMLCite \textit{L. T. Watson} et al., ACM Trans. Math. Softw. 13, 281--310 (1987; Zbl 0626.65049) Full Text: DOI Link
Li, T. Y.; Sauer, T. Homotopy method for generalized eigenvalue problems \(Ax=\lambda Bx\). (English) Zbl 0621.65028 Linear Algebra Appl. 91, 65-74 (1987). Reviewer: A.Ruhe MSC: 65F15 65H17 PDFBibTeX XMLCite \textit{T. Y. Li} and \textit{T. Sauer}, Linear Algebra Appl. 91, 65--74 (1987; Zbl 0621.65028) Full Text: DOI