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
Watson, Layne T.; Billups, Stephen C.; Mitchell, John E.; Easterling, David R. A globally convergent probability-one homotopy for linear programs with linear complementarity constraints. (English) Zbl 1282.65072 SIAM J. Optim. 23, No. 2, 1167-1188 (2013). Reviewer: Guoqiang Wang (Shanghai) MSC: 65K05 90C33 90C05 PDFBibTeX XMLCite \textit{L. T. Watson} et al., SIAM J. Optim. 23, No. 2, 1167--1188 (2013; Zbl 1282.65072) 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
Ahuja, Kapil; Watson, Layne T.; Billups, Stephen C. Probability-one homotopy maps for mixed complementarity problems. (English) Zbl 1168.90617 Comput. Optim. Appl. 41, No. 3, 363-375 (2008). MSC: 90C33 PDFBibTeX XMLCite \textit{K. Ahuja} et al., Comput. Optim. Appl. 41, No. 3, 363--375 (2008; Zbl 1168.90617) Full Text: DOI Link
Su, Hai-Jun; Mccarthy, J. Michael; Sosonkina, Masha; Watson, Layne T. Algorithm 857: POLSYS\(_-\)GLP – a parallel general linear product homotopy code for solving polynomial systems of equations. (English) Zbl 1230.65058 ACM Trans. Math. Softw. 32, No. 4, 561-579 (2006). MSC: 65H10 65H20 65Y05 PDFBibTeX XMLCite \textit{H.-J. Su} et al., ACM Trans. Math. Softw. 32, No. 4, 561--579 (2006; Zbl 1230.65058) Full Text: DOI
Zwolak, Jason W.; Tyson, John J.; Watson, Layne T. Finding all steady state solutions of chemical kinetic models. (English) Zbl 1089.80004 Nonlinear Anal., Real World Appl. 5, No. 5, 801-814 (2004). MSC: 80A30 92E20 34D20 65Y10 PDFBibTeX XMLCite \textit{J. W. Zwolak} et al., Nonlinear Anal., Real World Appl. 5, No. 5, 801--814 (2004; Zbl 1089.80004) 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)
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
Watson, Layne T. Theory of globally convergent probability-one homotopies for nonlinear programming. (English) Zbl 0994.65070 SIAM J. Optim. 11, No. 3, 761-780 (2000). MSC: 65K05 65H20 90C30 PDFBibTeX XMLCite \textit{L. T. Watson}, SIAM J. Optim. 11, No. 3, 761--780 (2000; Zbl 0994.65070) Full Text: DOI
Sosonkina, Maria; Allison, Donald C. S.; Watson, Layne T. Parallel adaptive GMRES implementations for homotopy methods. (English) Zbl 0994.65059 SIAM J. Optim. 9, No. 4, 1149-1158 (1999). MSC: 65H20 65H10 65F10 65F20 65F50 65K05 90C30 65Y05 PDFBibTeX XMLCite \textit{M. Sosonkina} et al., SIAM J. Optim. 9, No. 4, 1149--1158 (1999; Zbl 0994.65059) Full Text: DOI
Collins, Emmanuel G. jun.; Haddad, Wassim M.; Watson, Layne T.; Sadhukhan, Debashis Probability-one homotopy algorithms for robust controller synthesis with fixed-structure multipliers. (English) Zbl 0871.93019 Int. J. Robust Nonlinear Control 7, No. 2, 165-185 (1997). Reviewer: L.Goras (Iaşi) MSC: 93B50 93D09 PDFBibTeX XMLCite \textit{E. G. Collins jun.} et al., Int. J. Robust Nonlinear Control 7, No. 2, 165--185 (1997; Zbl 0871.93019) Full Text: DOI
Watson, Layne T.; Sosonkina, Maria; Melville, Robert C.; Morgan, Alexander P.; Walker, Homer F. Algorithm 777: HOMPACK90: A suite of Fortran 90 codes for globally convergent homotopy algorithms. (English) Zbl 0913.65042 ACM Trans. Math. Softw. 23, No. 4, 514-549 (1997). MSC: 65H20 65Y15 PDFBibTeX XMLCite \textit{L. T. Watson} et al., ACM Trans. Math. Softw. 23, No. 4, 514--549 (1997; Zbl 0913.65042) Full Text: DOI Link
Ge, Yuzhen; Watson, Layne T.; Collins, Emmanuel G. jun. Cost-effective parallel processing for \(H^2/H^\infty\) controller synthesis. (English) Zbl 0938.93022 Int. J. Syst. Sci. 28, No. 11, 1069-1076 (1997). Reviewer: K.Marti (Neubiberg) MSC: 93B36 65Y05 93B40 PDFBibTeX XMLCite \textit{Y. Ge} et al., Int. J. Syst. Sci. 28, No. 11, 1069--1076 (1997; Zbl 0938.93022) Full Text: DOI
Ge, Yuzhen; Watson, Layne T.; Collins, Emmanuel G. jun.; Bernstein, Dennis S. Globally convergent homotopy algorithms for the combined \(H^2/H^\infty\) model reduction problem. (English) Zbl 0896.93007 J. Math. Syst. Estim. Control 7, No. 2, 129-155 (1997). Reviewer: T.Kobayashi (Tobata) MSC: 93B20 93B40 93B25 93B11 93B36 PDFBibTeX XMLCite \textit{Y. Ge} et al., J. Math. Syst. Estim. Control 7, No. 2, 129--155 (1997; Zbl 0896.93007)
Ge, Yuzhen; Watson, Layne T.; Collins, Emmanuel G. jun.; Bernstein, Dennis S. Probability-one homotopy algorithms for full- and reduced-order \(H^ 2/ H^ \infty\) controller synthesis. (English) Zbl 0861.93008 Optim. Control Appl. Methods 17, No. 3, 187-208 (1996). Reviewer: K.Wickwire (Bedford) MSC: 93B36 93E20 49N10 PDFBibTeX XMLCite \textit{Y. Ge} et al., Optim. Control Appl. Methods 17, No. 3, 187--208 (1996; Zbl 0861.93008) 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
Sosonkina, Maria; Watson, Layne T.; Stewart, David E. Note on the end game in homotopy zero curve tracking. (English) Zbl 0884.65044 ACM Trans. Math. Softw. 22, No. 3, 281-287 (1996). MSC: 65H20 65H10 65Y15 PDFBibTeX XMLCite \textit{M. Sosonkina} et al., ACM Trans. Math. Softw. 22, No. 3, 281--287 (1996; Zbl 0884.65044) Full Text: DOI Link
Ge, Yuzhen; Watson, Layne T.; Collins, Emmanuel G. jun. Distributed homotopy algorithms for \(H^ 2/H^ \infty\) controller synthesis. (English) Zbl 0836.65084 Bailey, David H. (ed.) et al., Proceedings of the seventh SIAM conference on parallel processing for scientific computing, San Francisco, CA (USA), February 15-17, 1995. Philadelphia, PA: SIAM. 84-89 (1995). MSC: 65K10 65H20 93B50 93B40 93B36 PDFBibTeX XMLCite \textit{Y. Ge} et al., in: Proceedings of the seventh SIAM conference on parallel processing for scientific computing, San Francisco, CA (USA), February 15-17, 1995. Philadelphia, PA: SIAM. 84--89 (1995; Zbl 0836.65084)
Ge, Y.; Collins, E. G. jun.; Watson, L. T.; Davis, L. D. An input normal form homotopy for the \(L^ 2\) optimal model order reduction problem. (English) Zbl 0819.49019 IEEE Trans. Autom. Control 39, No. 6, 1302-1305 (1994). Reviewer: S.L.Singh (Rishikesh) MSC: 49M29 49J15 49J35 PDFBibTeX XMLCite \textit{Y. Ge} et al., IEEE Trans. Autom. Control 39, No. 6, 1302--1305 (1994; Zbl 0819.49019) 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
Žigić, Dragan; Watson, Layne T.; Beattie, Christopher Contragredient transformations applied to the optimal projection equations. (English) Zbl 0781.65059 Linear Algebra Appl. 188-189, 665-676 (1993). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 65K10 93C99 PDFBibTeX XMLCite \textit{D. Žigić} et al., Linear Algebra Appl. 188--189, 665--676 (1993; Zbl 0781.65059) Full Text: DOI Link
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
Irani, Kashmira M.; Ribbens, Calvin J.; Watson, Layne T. Parallel HOMPACK: A case study in parallel mathematical software. (English) Zbl 0789.65038 Dongarra, Jack (ed.) et al., Proceedings of the fifth SIAM conference on parallel processing for scientific computing, held in Houston, TX, USA, March 25-27, 1991. Philadelphia, PA: SIAM. 643-648 (1992). Reviewer: W.Schönauer (Karlsruhe) MSC: 65H20 65Y05 PDFBibTeX XMLCite \textit{K. M. Irani} et al., in: Proceedings of the fifth SIAM conference on parallel processing for scientific computing, held in Houston, TX, USA, March 25-27, 1991. Philadelphia, PA: SIAM. 643--648 (1992; Zbl 0789.65038)
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
Irani, Kashmira M.; Kamat, Manohar P.; Ribbens, Calvin J.; Walker, Homer F.; Watson, Layne T. Experiments with conjugate gradient algorithms for homotopy curve tracking. (English) Zbl 0757.65057 SIAM J. Optim. 1, No. 2, 222-251 (1991). Reviewer: Wang Zeke (Guangzhou) MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{K. M. Irani} et al., SIAM J. Optim. 1, No. 2, 222--251 (1991; Zbl 0757.65057) 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
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)
Chakraborty, A.; Allison, D. C. S.; Ribbens, C. J.; Watson, L. T. Note on unit tangent vector computation for homotopy curve tracking on a hypercube. (English) Zbl 0745.65035 Parallel Comput. 17, No. 12, 1385-1395 (1991). Reviewer: W.Zulehner (Linz) MSC: 65H20 65Y05 PDFBibTeX XMLCite \textit{A. Chakraborty} et al., Parallel Comput. 17, No. 12, 1385--1395 (1991; Zbl 0745.65035) Full Text: DOI
Watson, Layne T.; Haftka, Raphael T.; Lutze, Frederick H.; Plautt, Raymond H.; Shin, Philip Y. The application of globally convergent homotopy methods to nonlinear optimization. (English) Zbl 0745.90065 Advances in numerical partial differential equations and optimization, Proc. 5th Mex.-US Workshop, Mérida/Mex. 1989, 284-298 (1991). MSC: 90C30 90-08 65H20 90-02 90C90 PDFBibTeX XMLCite \textit{L. T. Watson} et al., in: An efficient linesearch for convex piecewise-linear/quadratic functions. . 284--298 (1991; Zbl 0745.90065)
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
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.; Haftka, Raphael T. Modern homotopy methods in optimization. (English) Zbl 0693.65046 Comput. Methods Appl. Mech. Eng. 74, No. 3, 289-305 (1989). Reviewer: E.Allgower MSC: 65K05 90C30 65H10 PDFBibTeX XMLCite \textit{L. T. Watson} and \textit{R. T. Haftka}, Comput. Methods Appl. Mech. Eng. 74, No. 3, 289--305 (1989; Zbl 0693.65046) Full Text: DOI Link
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
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
Pelz, Wolfgang; Watson, Layne T. Message length effects for solving polynomial systems on a hypercube. (English) Zbl 0674.65025 Parallel Comput. 10, No. 2, 161-176 (1989). Reviewer: A.Galántai MSC: 65H10 65Y05 PDFBibTeX XMLCite \textit{W. Pelz} and \textit{L. T. Watson}, Parallel Comput. 10, No. 2, 161--176 (1989; Zbl 0674.65025) Full Text: DOI
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
Kumar, S. Kishore; Thacker, William I.; Watson, Layne T. Magnetohydrodynamic flow and heat transfer about a rotating disk with suction and injection at the disk surface. (English) Zbl 0639.76119 Comput. Fluids 16, No. 2, 183-193 (1988). MSC: 76W05 80A20 76S05 76M99 PDFBibTeX XMLCite \textit{S. K. Kumar} et al., Comput. Fluids 16, No. 2, 183--193 (1988; Zbl 0639.76119) Full Text: DOI Link
Shin, Yung S.; Haftka, Raphael T.; Watson, Layne T.; Plaut, Raymond H. Tracing structural optima as a function of available resources by a homotopy method. (English) Zbl 0636.49014 Comput. Methods Appl. Mech. Eng. 70, No. 2, 151-164 (1988). Reviewer: Y.Shin MSC: 49M30 55P99 74P99 49M05 65K10 PDFBibTeX XMLCite \textit{Y. S. Shin} et al., Comput. Methods Appl. Mech. Eng. 70, No. 2, 151--164 (1988; Zbl 0636.49014) Full Text: DOI
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
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 PDFBibTeX XMLCite \textit{L. T. Watson} and \textit{M. R. Scott}, Appl. Math. Comput. 24, 333--357 (1987; Zbl 0635.65099) Full Text: DOI Link
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
Watson, L. T.; Kamat, M. P.; Kwok, H. Y. Location of multiple equilibrium configurations near limit points by a double dogleg strategy and tunnelling. (English) Zbl 0608.65029 Numerical analysis, Proc. 4th IIMAS Workshop, Guanajuato/Mex. 1984, Lect. Notes Math. 1230, 26-45 (1986). MSC: 65H17 PDFBibTeX XML
Watson, Layne T. Numerical linear algebra aspects of globally convergent homotopy methods. (English) Zbl 0608.65028 SIAM Rev. 28, 529-545 (1986). Reviewer: H.Matthies MSC: 65H10 65F30 PDFBibTeX XMLCite \textit{L. T. Watson}, SIAM Rev. 28, 529--545 (1986; Zbl 0608.65028) Full Text: DOI Link
Heruska, Michael W.; Watson, Layne T.; Sankara, Kishore Kumar Micropolar flow past a porous stretching sheet. (English) Zbl 0589.76017 Comput. Fluids 14, 117-129 (1986). MSC: 76A05 76R99 76M99 PDFBibTeX XMLCite \textit{M. W. Heruska} et al., Comput. Fluids 14, 117--129 (1986; Zbl 0589.76017) Full Text: DOI
Sankara, Kishore Kumar; Watson, Layne T. Micropolar flow past a stretching sheet. (English) Zbl 0585.76006 Z. Angew. Math. Phys. 36, 845-853 (1985). MSC: 76A05 76M99 PDFBibTeX XMLCite \textit{K. K. Sankara} and \textit{L. T. Watson}, Z. Angew. Math. Phys. 36, 845--853 (1985; Zbl 0585.76006) Full Text: DOI
Dunyak, J. P.; Junkins, J. L.; Watson, L. T. Robust nonlinear least squares estimation using the Chow-Yorke homotopy method. (English) Zbl 0579.65062 J. Guid. Control Dyn. 7, 752-756 (1984). Reviewer: B.Kearfott MSC: 65K05 65H10 65D10 PDFBibTeX XMLCite \textit{J. P. Dunyak} et al., J. Guid. Control Dyn. 7, 752--756 (1984; Zbl 0579.65062) Full Text: DOI Link
Watson, Layne T.; Holzer, Siegfried M.; Hansen, Mark C. Tracking nonlinear equilibrium paths by a homotopy method. (English) Zbl 0538.65029 Nonlinear Anal., Theory Methods Appl. 7, 1271-1282 (1983). Reviewer: M.Prüfer MSC: 65H10 74S30 PDFBibTeX XMLCite \textit{L. T. Watson} et al., Nonlinear Anal., Theory Methods Appl. 7, 1271--1282 (1983; Zbl 0538.65029) Full Text: DOI
Watson, Layne T. Engineering applications of the Chow-Yorke algorithm. (English) Zbl 0531.65030 Homotopy methods and global convergence, Proc. NATO Adv. Res. Inst., Porto Cervo/Sardinia 1981, NATO Conf. Ser. II, Syst. Sci. 13, 287-307 (1983). MSC: 65H10 65L10 65K05 90C33 90C25 55M20 PDFBibTeX XML
Kamat, M. P.; Watson, L. T.; Venkayya, V. B. A quasi-Newton versus a homotopy method for nonlinear structural analysis. (English) Zbl 0511.73097 Comput. Struct. 17, 579-585 (1983). MSC: 74P99 65K10 49M15 65H10 PDFBibTeX XMLCite \textit{M. P. Kamat} et al., Comput. Struct. 17, 579--585 (1983; Zbl 0511.73097) Full Text: DOI
Wang, C. Y.; Watson, L. T. Free rotation of a circular ring about a diameter. (English) Zbl 0505.73034 Z. Angew. Math. Phys. 34, 13-24 (1983). MSC: 74K10 41A58 74S30 65D30 PDFBibTeX XMLCite \textit{C. Y. Wang} and \textit{L. T. Watson}, Z. Angew. Math. Phys. 34, 13--24 (1983; Zbl 0505.73034) 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 PDFBibTeX XMLCite \textit{L. T. Watson}, Appl. Math. Comput. 9, 111--133 (1981; Zbl 0481.65029) Full Text: DOI Link
Watson, L. T.; Wang, C. Y. Hanging an elastic ring. (English) Zbl 0471.73055 Int. J. Mech. Sci. 23, 161-167 (1981). MSC: 74K10 65F30 PDFBibTeX XMLCite \textit{L. T. Watson} and \textit{C. Y. Wang}, Int. J. Mech. Sci. 23, 161--167 (1981; Zbl 0471.73055) Full Text: DOI
Wang, C.-Y.; Watson, L. T. Equilibrium of heavy elastic cylindrical shells. (English) Zbl 0465.73085 J. Appl. Mech. 48, 582-586 (1981). MSC: 74K15 65D30 PDFBibTeX XMLCite \textit{C. Y. Wang} and \textit{L. T. Watson}, J. Appl. Mech. 48, 582--586 (1981; Zbl 0465.73085) Full Text: DOI
Watson, Layne; Yang, W. H. Methods for optimal engineering design problems based on globally convergent methods. (English) Zbl 0462.65032 Comput. Struct. 13, 115-119 (1981). MSC: 65H10 90C33 65K05 74S30 74S05 62K05 PDFBibTeX XMLCite \textit{L. Watson} and \textit{W. H. Yang}, Comput. Struct. 13, 115--119 (1981; Zbl 0462.65032) Full Text: DOI Link
Watson, Layne T. Numerical study of porous channel flow in a rotating system by a homotopy method. (English) Zbl 0452.76025 J. Comput. Appl. Math. 7, 21-26 (1981). MSC: 76D05 76S05 76U05 86A05 65Z05 PDFBibTeX XMLCite \textit{L. T. Watson}, J. Comput. Appl. Math. 7, 21--26 (1981; Zbl 0452.76025) Full Text: DOI
Watson, L. T.; Wang, C. Y. A homotopy method applied to elastica problems. (English) Zbl 0452.73071 Int. J. Solids Struct. 17, 29-37 (1981). MSC: 74S30 74B20 65L20 49M25 74K10 PDFBibTeX XMLCite \textit{L. T. Watson} and \textit{C. Y. Wang}, Int. J. Solids Struct. 17, 29--37 (1981; Zbl 0452.73071) Full Text: DOI Link
Watson, Layne T. Solving finite difference approximations to nonlinear two-point boundary value problems by a homotopy method. (English) Zbl 0456.65025 SIAM J. Sci. Stat. Comput. 1, 467-480 (1980). MSC: 65H10 65L10 90C30 34B15 65K05 PDFBibTeX XMLCite \textit{L. T. Watson}, SIAM J. Sci. Stat. Comput. 1, 467--480 (1980; Zbl 0456.65025) Full Text: DOI Link
Watson, Layne; Yang, Wei H. Optimal design by a homotopy method. (English) Zbl 0448.73083 Appl. Anal. 10, 275-284 (1980). MSC: 74P99 90C90 65H10 65K10 PDFBibTeX XMLCite \textit{L. Watson} and \textit{W. H. Yang}, Appl. Anal. 10, 275--284 (1980; Zbl 0448.73083) Full Text: DOI
Watson, Layne T.; Fenner, Dan Chow-Yorke algorithm for fixed points or zeros of \(C^2\) maps \([C5]\). (English) Zbl 0445.65033 ACM Trans. Math. Softw. 6, 252-259 (1980). MSC: 65H10 68Q25 65-04 54H25 PDFBibTeX XMLCite \textit{L. T. Watson} and \textit{D. Fenner}, ACM Trans. Math. Softw. 6, 252--259 (1980; Zbl 0445.65033) Full Text: DOI
Watson, Layne T. Computational experience with the Chow-Yorke algorithm. (English) Zbl 0436.90096 Math. Program. 19, 92-101 (1980). MSC: 90C30 54H25 65K05 PDFBibTeX XMLCite \textit{L. T. Watson}, Math. Program. 19, 92--101 (1980; Zbl 0436.90096) Full Text: DOI
Wang, C. Y.; Watson, L. T. On the large deformations of c-shaped springs. (English) Zbl 0435.73044 Int. J. Mech. Sci. 22, 395-400 (1980). MSC: 74K10 PDFBibTeX XMLCite \textit{C. Y. Wang} and \textit{L. T. Watson}, Int. J. Mech. Sci. 22, 395--400 (1980; Zbl 0435.73044) Full Text: DOI
Watson, Layne T. An algorithm that is globally convergent with probability one for a class of nonlinear two-point boundary value problems. (English) Zbl 0438.65069 SIAM J. Numer. Anal. 16, 394-401 (1979). MSC: 65L10 34B15 PDFBibTeX XMLCite \textit{L. T. Watson}, SIAM J. Numer. Anal. 16, 394--401 (1979; Zbl 0438.65069) Full Text: DOI
Wang, C. Y.; Watson, L. T. Squeezing of a viscous fluid between elliptic plates. (English) Zbl 0414.76025 Appl. Sci. Res. 35, 195-207 (1979). MSC: 76D99 PDFBibTeX XMLCite \textit{C. Y. Wang} and \textit{L. T. Watson}, Appl. Sci. Res. 35, 195--207 (1979; Zbl 0414.76025) Full Text: DOI
Watson, Layne T. Solving the nonlinear complementarity problem by a homotopy method. (English) Zbl 0407.90083 SIAM J. Control Optimization 17, 36-46 (1979). MSC: 90C33 55P99 41A25 PDFBibTeX XMLCite \textit{L. T. Watson}, SIAM J. Control Optim. 17, 36--46 (1979; Zbl 0407.90083) Full Text: DOI