Edit Profile (opens in new tab) Watson, Layne Terry Compute Distance To: Compute Author ID: watson.layne-t Published as: Watson, Layne T.; Watson, L. T.; Watson, Layne Homepage: http://people.cs.vt.edu/~ltw/shortvita.html External Links: MGP · dblp Documents Indexed: 182 Publications since 1976 3 Contributions as Editor Co-Authors: 166 Co-Authors with 164 Joint Publications 2,548 Co-Co-Authors all top 5 Co-Authors 17 single-authored 21 Wang, Chang-Yi 19 Haftka, Raphael T. 15 Ribbens, Calvin J. 12 Collins, Emmanuel G. jun. 10 Thacker, William I. 8 Ge, Yuzhen 8 Kamat, Manohar P. 7 Grossman, Bernard 6 Billups, Stephen C. 6 Mason, William H. 6 Morgan, Alexander P. 6 Ramakrishnan, Naren 6 Tyson, John J. 5 Allison, Donald C. S. 5 Bernstein, Dennis S. 5 Cramer, Mark S. 5 Easterling, David R. 5 Gürdal, Zafer 5 Kumar, S. Kishore 5 Sosonkina, Maria 5 Sosonkina, Masha 5 Walker, Homer F. 4 He, Jian 4 Irani, Kashmira M. 4 Plaut, Raymond H. 4 Shaffer, Clifford A. 4 Trosset, Michael W. 4 Žigić, Dragan 3 Baker, Chuck A. 3 Burgee, Susan L. 3 Kelly, Leroy M. 3 Renaud, John E. 3 Sommese, Andrew John 3 Weimar, Jörg R. 3 Zhang, Jingwei 2 Alexander, Kevin A. 2 Bartholomew-Biggs, Michael C. 2 Beattie, Christopher A. 2 Cameron, Kirk W. 2 Cao, Yang 2 Castle, Brent S. 2 Chang, Tyler H. 2 Cox, Steven E. 2 Desa, Colin 2 Ford, John A. 2 Giunta, Anthony A. 2 Holzer, Siegfried M. 2 Hong, Yili 2 Hosder, Serhat 2 Hossain, M. Shahriar 2 Iyer, Manjula A. 2 Kim, Hongman 2 Lowekamp, Bruce B. 2 Lux, Thomas C. H. 2 Mateescu, Gabriel 2 McQuain, William D. 2 Melville, Robert C. 2 Murty, Katta G. 2 Pelz, Wolfgang 2 Penninger, Charles L. 2 Phillips, Rhonda D. 2 Sadhukhan, Debashis 2 Sankara, Kishore Kumar 2 Setoodeh, Shahriar 2 Suherman, Surjani 2 Tovar, Andrés 2 Ulrich, Gary 2 Verstak, Alex 2 Viana, Felipe A. C. 2 Zwolak, Jason W. 1 Adams, David B. 1 Ahuja, Kapil 1 Allen, Nicholas A. 1 Amos, Brandon D. 1 Bae, Kyung 1 Bailey, David Harold 1 Balabanov, Vladimir 1 Berry, Michael W. 1 Birch, Jeffrey B. 1 Bixler, J. Patrick 1 Bjørstad, Petter Erling 1 Boggs, Paul T. 1 Butt, Ali Raza 1 Canfield, Robert A. 1 Chen, Katherine C. 1 Cowgill, M. C. 1 Davidson, Ian 1 Desai, Rajendra G. 1 Deshpande, Shubhangi 1 Dillard, David A. 1 Dunyak, James P. 1 Ellis, George Francis Rayner 1 Fenner, Dan 1 Fredricksen, John T. 1 Gao, David Yang 1 Gilbert, John R. 1 Giraud, Luc 1 Goel, Amit 1 Goel, Tushar 1 Haddad, Wassim Michael ...and 66 more Co-Authors all top 5 Serials 14 ACM Transactions on Mathematical Software 8 Journal of Computational and Applied Mathematics 6 Computers and Fluids 6 Computers & Mathematics with Applications 6 Computer Methods in Applied Mechanics and Engineering 6 International Journal of Solids and Structures 6 Applied Mathematics and Computation 6 SIAM Journal on Optimization 5 Computers and Structures 5 Computational Optimization and Applications 5 Optimization and Engineering 4 SIAM Journal on Scientific and Statistical Computing 3 International Journal of Mechanical Sciences 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Global Optimization 3 International Journal of Computer Mathematics 3 SIAM Journal on Applied Mathematics 3 International Journal of Pure and Applied Mathematics 3 Structural and Multidisciplinary Optimization 2 Acta Mechanica 2 International Journal of Control 2 Journal of Applied Mechanics 2 Journal of Fluid Mechanics 2 Physics of Fluids 2 Mathematical Programming 2 SIAM Journal on Numerical Analysis 2 Physica D 2 Parallel Computing 2 Applied Mathematical Modelling 2 Linear Algebra and its Applications 2 Journal of Mathematical Systems, Estimation, and Control 2 Numerical Linear Algebra with Applications 2 Parallel Algorithms and Applications 2 Optimization Methods & Software 2 Engineering Computations 2 Nonlinear Analysis. Real World Applications 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 Applied Scientific Research 1 IMA Journal of Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 International Journal of Systems Science 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of Sound and Vibration 1 Journal of Guidance, Control and Dynamics 1 The Arabian Journal for Science and Engineering 1 IEEE Transactions on Automatic Control 1 International Journal for Numerical Methods in Engineering 1 Mathematics of Operations Research 1 SIAM Journal on Control and Optimization 1 Optimal Control Applications & Methods 1 Journal of Automated Reasoning 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Journal of Robotic Systems 1 SIAM Journal on Matrix Analysis and Applications 1 The Journal of Supercomputing 1 Numerical Algorithms 1 SIAM Review 1 Mathematical Programming. Series A. Series B 1 International Journal of Robust and Nonlinear Control 1 SIAM Journal on Scientific Computing 1 Data Mining and Knowledge Discovery 1 Mathematical & Computational Applications 1 CMES. Computer Modeling in Engineering & Sciences 1 Concurrency and Computation: Practice & Experience 1 International Journal of Computational Methods all top 5 Fields 102 Numerical analysis (65-XX) 51 Operations research, mathematical programming (90-XX) 38 Mechanics of deformable solids (74-XX) 22 Fluid mechanics (76-XX) 19 Computer science (68-XX) 12 Systems theory; control (93-XX) 10 Statistics (62-XX) 10 Biology and other natural sciences (92-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Ordinary differential equations (34-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Partial differential equations (35-XX) 4 General topology (54-XX) 3 General and overarching topics; collections (00-XX) 3 Approximations and expansions (41-XX) 3 Algebraic topology (55-XX) 3 Probability theory and stochastic processes (60-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Functions of a complex variable (30-XX) 2 Mechanics of particles and systems (70-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 146 Publications have been cited 1,226 times in 806 Documents Cited by ▼ Year ▼ HOMPACK: A suite of codes for globally convergent homotopy algorithms. Zbl 0626.65049Watson, Layne T.; Billups, Stephen C.; Morgan, Alexander P. 94 1987 Solving the nonlinear complementarity problem by a homotopy method. Zbl 0407.90083Watson, Layne T. 53 1979 A globally convergent algorithm for computing fixed points of \(C^2\) maps. Zbl 0445.65032Watson, Layne T. 43 1979 Algorithm 777: HOMPACK90: A suite of Fortran 90 codes for globally convergent homotopy algorithms. Zbl 0913.65042Watson, Layne T.; Sosonkina, Maria; Melville, Robert C.; Morgan, Alexnder P.; Walker, Homer F. 36 1997 Globally convergent homotopy methods: A tutorial. Zbl 0689.65033Watson, Layne T. 35 1989 Numerical linear algebra aspects of globally convergent homotopy methods. Zbl 0608.65028Watson, Layne T. 33 1986 Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method. Zbl 0635.65099Watson, Layne T.; Scott, Melvin R. 26 1987 Modern homotopy methods in optimization. Zbl 0693.65046Watson, Layne T.; Haftka, Raphael T. 24 1989 Theory of globally convergent probability-one homotopies for nonlinear programming. Zbl 0994.65070Watson, Layne T. 22 2000 Least-change secant update methods for underdetermined systems. Zbl 0733.65032Walker, Homer F.; Watson, Layne T. 21 1990 An algorithm that is globally convergent with probability one for a class of nonlinear two-point boundary value problems. Zbl 0438.65069Watson, Layne T. 20 1979 Engineering applications of the Chow-Yorke algorithm. Zbl 0481.65029Watson, Layne T. 19 1981 Iterative algorithms for the linear complementarity problem. Zbl 0654.65047Kappel, Nicholas W.; Watson, Layne T. 19 1986 A homotopy method applied to elastica problems. Zbl 0452.73071Watson, L. T.; Wang, C. Y. 18 1981 Efficient global optimization algorithm assisted by multiple surrogate techniques. Zbl 1275.90072Viana, Felipe A. C.; Haftka, Raphael T.; Watson, Layne T. 17 2013 Dynamic data structures for a direct search algorithm. Zbl 1036.90055He, Jian; Watson, Layne T.; Ramakrishnan, Naren; Shaffer, Clifford A.; Verstak, Alex; Jiang, Jing; Bae, Kyung; Tranter, William H. 17 2002 Supersonic flows of dense gases in cascade configurations. Zbl 0895.76038Monaco, J. F.; Cramer, M. S.; Watson, L. T. 17 1997 Finding all isolated solutions to polynomial systems using HOMPACK. Zbl 0900.65151Morgan, Alexander P.; Sommese, Andrew J.; Watson, Layne T. 17 1989 Digraph models of Bard-type algorithms for the linear complementarity problem. Zbl 0396.90096Stickney, Alan; Watson, Layne 17 1978 Q-matrices and spherical geometry. Zbl 0421.90071Kelly, L. M.; Watson, L. T. 17 1979 Steady viscous flow in a triangular cavity. Zbl 0798.76056Ribbens, Calvin J.; Watson, Layne T.; Wang, C.-Y. 16 1994 Algorithm 905: SHEPPACK: modified Shepard algorithm for interpolation of scattered multivariate data. Zbl 1364.65028Thacker, William I.; Zhang, Jingwei; Watson, Layne T.; Birch, Jeffrey B.; Iyer, Manjula A.; Berry, Michael W. 16 2010 Squeezing of a viscous fluid between elliptic plates. Zbl 0414.76025Wang, C. Y.; Watson, L. T. 15 1979 A parallel algorithm for simple roots of polynomials. Zbl 0558.65028Ellis, George H.; Watson, Layne T. 14 1984 Chow-Yorke algorithm for fixed points or zeros of \(C^2\) maps \([C5]\). Zbl 0445.65033Watson, Layne T.; Fenner, Dan 14 1980 Some perturbation theorems for Q-matrices. Zbl 0353.15031Watson, Layne T. 13 1976 A comparison of global optimization methods for the design of a high-speed civil transport. Zbl 1014.90072Cox, Steven E.; Haftka, Raphael T.; Baker, Chuck A.; Grossman, Bernard; Mason, William H.; Watson, Layne T. 13 2001 Probability-one homotopies in computational science. Zbl 0996.65055Watson, Layne T. 13 2002 Magnetohydrodynamic flow and heat transfer about a rotating disk with suction and injection at the disk surface. Zbl 0639.76119Kumar, S. Kishore; Thacker, William I.; Watson, Layne T. 13 1988 A genetic algorithm approach to cluster analysis. Zbl 1043.62516Cowgill, M. C.; Harvey, R. J.; Watson, L. T. 12 1999 Improved genetic algorithm for the design of stiffened composite panels. Zbl 0900.73951Nagendra, S.; Jestin, D.; Gürdal, Z.; Haftka, R. T.; Watson, L. T. 12 1996 Steady viscous flow in a trapezoidal cavity. Zbl 0801.76058McQuain, William D.; Ribbens, Calvin J.; Wang, C.-Y.; Watson, Layne T. 11 1994 The nonlinear stability of a heavy rigid plate supported by flexible columns. Zbl 0800.73124Thacker, W. I.; Wang, C. Y.; Watson, L. T. 11 1993 Two-point constraint approximation in structural optimization. Zbl 0591.73108Haftka, Raphael T.; Nachlas, Joel A.; Watson, Layne T.; Rizzo, Thomas; Desai, Rajendra 11 1987 Multidisciplinary design optimization with quasiseparable subsystems. Zbl 1093.90026Haftka, Raphael T.; Watson, Layne T. 11 2005 Dissipative waves in fluids having both positive and negative nonlinearity. Zbl 0623.76030Cramer, M. S.; Kluwick, A.; Watson, L. T.; Pelz, W. 11 1986 Solving finite difference approximations to nonlinear two-point boundary value problems by a homotopy method. Zbl 0456.65025Watson, Layne T. 10 1980 Algorithm 801: POLSYS_PLP. A partitioned linear product homotopy code for solving polynomial systems of equations. Zbl 1137.65353Wise, Steven M.; Sommese, Andrew J.; Watson, Layne T. 10 2000 Design and implementation of a massively parallel version of DIRECT. Zbl 1181.90138He, Jian; Verstak, Alex; Watson, Layne T.; Sosonkina, Masha 10 2008 Tracking nonlinear equilibrium paths by a homotopy method. Zbl 0538.65029Watson, Layne T.; Holzer, Siegfried M.; Hansen, Mark C. 10 1983 Erratum: Some perturbation theorems for Q-matrices. Zbl 0376.15012Kelly, L. M.; Watson, L. T. 9 1978 A new adaptive GMRES algorithm for achieving high accuracy. Zbl 0937.65037Sosonkina, Maria; Watson, Layne T.; Kapania, Rakesh K.; Walker, Homer F. 9 1998 Numerical study of porous channel flow in a rotating system by a homotopy method. Zbl 0452.76025Watson, Layne T. 9 1981 Algorithm 857: POLSYS\(_-\)GLP – a parallel general linear product homotopy code for solving polynomial systems of equations. Zbl 1230.65058Su, Hai-Jun; Mccarthy, J. Michael; Sosonkina, Masha; Watson, Layne T. 9 2006 A fully-distributed parallel global search algorithm. Zbl 0999.74119Watson, Layne T.; Baker, Chuck A. 9 2001 Deceleration of a rotating disk in a viscous fluid. Zbl 0418.76024Watson, Layne T.; Wang, Chang-Yi 9 1979 A probability-one homotopy algorithm for nonsmooth equations and mixed complementarity problems. Zbl 1040.65043Billups, Stephen C.; Watson, Layne T. 9 2002 A comparison of three algorithms for tracing nonlinear equilibrium paths of structural systems. Zbl 1011.74043Ragon, S. A.; Gürdal, Z.; Watson, L. T. 9 2002 Design of variable-stiffness composite layers using cellular automata. Zbl 1142.74034Setoodeh, Shahriar; Gürdal, Zafer; Watson, Layne T. 8 2006 Deterministic parallel global parameter estimation for a model of the budding yeast cell cycle. Zbl 1140.68371Panning, Thomas D.; Watson, Layne T.; Allen, Nicholas A.; Chen, Katherine C.; Shaffer, Clifford A.; Tyson, John J. 8 2008 Contragredient transformations applied to the optimal projection equations. Zbl 0781.65059Žigić, Dragan; Watson, Layne T.; Beattie, Christopher 8 1993 Deflections and buckling of a bent elastica in contact with a flat surface. Zbl 0945.74024Plaut, Raymond H.; Suherman, Surjani; Dillard, David A.; Williams, Brad E.; Watson, Layne T. 8 1999 Steady-state size distributions in probabilistic models of the cell division cycle. Zbl 0577.92019Hannsgen, Kenneth B.; Tyson, John J.; Watson, Layne T. 8 1985 Micropolar flow past a porous stretching sheet. Zbl 0589.76017Heruska, Michael W.; Watson, Layne T.; Sankara, Kishore Kumar 8 1986 Computational experience with the Chow-Yorke algorithm. Zbl 0436.90096Watson, Layne T. 8 1980 Preconditioned iterative methods for homotopy curve tracking. Zbl 0747.65035Desa, Colin; Irani, Kashmira M.; Ribbens, Calvin J.; Watson, Layne T.; Walker, Homer F. 8 1992 Diffusion and wave propagation in cellular automaton models of excitable media. Zbl 0744.92002Weimar, Jörg R.; Tyson, John J.; Watson, Layne T. 8 1992 Algorithm 897: VTDIRECT95: serial and parallel codes for the global optimization algorithm direct. Zbl 1364.65127He, Jian; Watson, Layne T.; Sosonkina, Masha 8 2009 Variable-complexity response surface approximations for wing structural weight in HSCT design. Zbl 0878.73048Kaufman, M.; Balabanov, V.; Burgee, S. L.; Giunta, A. A.; Grossman, B.; Haftka, R. T.; Mason, W. H.; Watson, L. T. 8 1996 Pitfalls of using a single criterion for selecting experimental designs. Zbl 1195.62129Goel, Tushar; Haftka, Raphael T.; Shyy, Wei; Watson, Layne T. 7 2008 Multi-objective control-structure optimization via homotopy methods. Zbl 0787.65037Rakowska, Joanna; Haftka, Raphael T.; Watson, Layne T. 7 1993 Robust nonlinear least squares estimation using the Chow-Yorke homotopy method. Zbl 0579.65062Dunyak, J. P.; Junkins, J. L.; Watson, L. T. 7 1984 Homotopy methods for solving the optimal projection equations for the \(H_ 2\) reduced order model problem. Zbl 0766.93009Žigić, Dragan; Watson, Layne T.; Collins, Emmanuel G. jun.; Bernstein, Dennis S. 7 1992 Note on the end game in homotopy zero curve tracking. Zbl 0884.65044Sosonkina, Maria; Watson, Layne T.; Stewart, David E. 6 1996 Optimal design by a homotopy method. Zbl 0448.73083Watson, Layne; Yang, Wei H. 6 1980 The fluid-filled cylindrical membrane container. Zbl 0459.73037Wang, C.-Y.; Watson, L. T. 6 1981 Third generation cellular automaton for modeling excitable media. Zbl 0744.92003Weimar, Jörg R.; Tyson, John J.; Watson, Layne T. 6 1992 Magnetohydrodynamic free convection from a disk rotating in a vertical plane. Zbl 0716.76079Thacker, William I.; Watson, Layne T.; Kumar, S. Kishore 6 1990 CP-rays in simplicial cones. Zbl 0734.90097Kelly, Leroy M.; Murty, Katta G.; Watson, Layne T. 6 1990 On the large deformations of c-shaped springs. Zbl 0435.73044Wang, C. Y.; Watson, L. T. 6 1980 A finite characterization of K-matrices in dimensions less than four. Zbl 0641.90082Fredricksen, John T.; Watson, Layne T.; Murty, Katta G. 6 1986 Finding all steady state solutions of chemical kinetic models. Zbl 1089.80004Zwolak, Jason W.; Tyson, John J.; Watson, Layne T. 5 2004 Probability-one homotopy algorithms for solving the coupled Lyapunov equations arising in reduced-order \(H^2/H^\infty\) modeling, estimation, and control. Zbl 1028.93011Wang, Y.; Bernstein, D. S.; Watson, L. T. 5 2001 Polynomial response surface approximations for the multidisciplinary design optimization of a high speed civil transport. Zbl 1079.90625Hosder, Serhat; Watson, Layne T.; Grossman, Bernard; Mason, William H.; Kim, Hongman; Haftka, Raphael T.; Cox, Steven E. 5 2001 Convergence analysis for cellular automata applied to truss design. Zbl 1147.74418Slotta, Douglas J.; Tatting, Brian; Watson, Layne T.; Gürdal, Zafer; Missoum, Samy 5 2002 Micropolar flow past a stretching sheet. Zbl 0585.76006Sankara, Kishore Kumar; Watson, Layne T. 5 1985 Experiments with conjugate gradient algorithms for homotopy curve tracking. Zbl 0757.65057Irani, Kashmira M.; Kamat, Manohar P.; Ribbens, Calvin J.; Walker, Homer F.; Watson, Layne T. 5 1991 Spinning of a liquid film from an accelerating disc. Zbl 0726.76107Wang, C. Y.; Watson, L. T.; Alexander, K. A. 5 1991 Solving Galerkin approximations to nonlinear two-point boundary value problems by a globally convergent homotopy method. Zbl 0645.65043Watson, Layne T.; Scott, L. Ridgway 5 1987 A modified uniformization method for the solution of the chemical master equation. Zbl 1189.34087Zhang, Jingwei; Watson, Layne T.; Cao, Yang 4 2010 Homotopy curve tracking in approximate interior point optimization. Zbl 1273.90239Pérez, Victor M.; Renaud, John E.; Watson, Layne T. 4 2009 Robust controller synthesis via non-linear matrix inequalities. Zbl 1001.93026Collins, Emmanuel G. jun.; Sadhukhan, Debashis; Watson, Layne T. 4 1999 Preconditioned iterative methods for sparse linear algebra problems arising in circuit simulation. Zbl 0803.65039McQuain, W. D.; Ribbens, C. J.; Watson, L. T.; Melville, R. C. 4 1994 Methods for optimal engineering design problems based on globally convergent methods. Zbl 0462.65032Watson, Layne; Yang, W. H. 4 1981 The elastic catenary. Zbl 0482.73033Wang, C. Y.; Watson, L. T. 4 1982 The cellular automata paradigm for the parallel solution of heat transfer problems. Zbl 1049.68604Lowekamp, Bruce B.; Watson, Layne T.; Cramer, Mark S. 4 1996 Tracing structural optima as a function of available resources by a homotopy method. Zbl 0636.49014Shin, Yung S.; Haftka, Raphael T.; Watson, Layne T.; Plaut, Raymond H. 4 1988 Solving the canonical dual of box- and integer-constrained nonconvex quadratic programs via a deterministic direct search algorithm. Zbl 1270.90041Gao, David Yang; Watson, Layne T.; Easterling, David R.; Thacker, William I.; Billups, Stephen C. 3 2013 Mixed-precision preconditionders in parallel domain decomposition solvers. Zbl 1139.65022Giraud, Luc; Haidar, Azzam; Watson, Layne T. 3 2008 Parallel deterministic and stochastic global minimization of functions with very many minima. Zbl 1304.90162Easterling, David R.; Watson, Layne T.; Madigan, Michael L.; Castle, Brent S.; Trosset, Michael W. 3 2014 Computational study of the nonhierarchical decomposition algorithm. Zbl 0792.90072Shankar, Jayashree; Ribbens, Calvin J.; Haftka, Raphael T.; Watson, Layne T. 3 1993 Positivity conditions for quartic polynomials. Zbl 0805.65012Ulrich, Gary; Watson, Layne T. 3 1994 An input normal form homotopy for the \(L^ 2\) optimal model order reduction problem. Zbl 0819.49019Ge, Y.; Collins, E. G. jun.; Watson, L. T.; Davis, L. D. 3 1994 Buckling, postbuckling, and the flow through a tethered elastic cylinder under external pressure. Zbl 0511.73040Wang, C. Y.; Watson, L. T.; Kamat, M. P. 3 1983 A quasi-Newton versus a homotopy method for nonlinear structural analysis. Zbl 0511.73097Kamat, M. P.; Watson, L. T.; Venkayya, V. B. 3 1983 The equilibrium states of a heavy rotating column. Zbl 0517.73045Watson, L. T.; Wang, C. Y. 3 1983 Homotopy approaches to the \(H_ 2\) reduced order model problem. Zbl 0770.93018Žigić, Dragan; Watson, Layne T.; Collins, Emmanuel G. jun.; Bernstein, Dennis S. 3 1993 Mathematical reduction of a heart dipole model. Zbl 0678.65034Morgan, Alexander P.; Sommese, Andrew; Watson, Layne T. 3 1989 Decomposition theory for multidisciplinary design optimization problems with mixed integer quasiseparable subsystems. Zbl 1176.90423Haftka, Raphael T.; Watson, Layne T. 3 2006 Probability-one homotopy algorithms for robust controller synthesis with fixed-structure multipliers. Zbl 0871.93019Collins, Emmanuel G. jun.; Haddad, Wassim M.; Watson, Layne T.; Sadhukhan, Debashis 3 1997 Probability-one homotopy methods for constrained clustering. Zbl 1478.62162Easterling, David R.; Watson, Layne T.; Ramakrishnan, Naren 1 2018 Multiobjective optimization using an adaptive weighting scheme. Zbl 1381.90080Deshpande, Shubhangi; Watson, Layne T.; Canfield, Robert A. 1 2016 Remark on Algorithm 897: VTDIRECT95: Serial and parallel codes for the global optimization algorithm DIRECT. Zbl 06642864Sosonkina, Masha; Watson, Layne T.; He, Jian 2 2015 Parallel deterministic and stochastic global minimization of functions with very many minima. Zbl 1304.90162Easterling, David R.; Watson, Layne T.; Madigan, Michael L.; Castle, Brent S.; Trosset, Michael W. 3 2014 Efficient global optimization algorithm assisted by multiple surrogate techniques. Zbl 1275.90072Viana, Felipe A. C.; Haftka, Raphael T.; Watson, Layne T. 17 2013 Solving the canonical dual of box- and integer-constrained nonconvex quadratic programs via a deterministic direct search algorithm. Zbl 1270.90041Gao, David Yang; Watson, Layne T.; Easterling, David R.; Thacker, William I.; Billups, Stephen C. 3 2013 A globally convergent probability-one homotopy for linear programs with linear complementarity constraints. Zbl 1282.65072Watson, Layne T.; Billups, Stephen C.; Mitchell, John E.; Easterling, David R. 1 2013 Sequential sampling for contour estimation with concurrent function evaluations. Zbl 1274.62105Viana, Felipe A. C.; Haftka, Raphael T.; Watson, Layne T. 1 2012 KKT conditions satisfied using adaptive neighboring in hybrid cellular automata for topology optimization. Zbl 1227.90051Penninger, Charles L.; Tovar, Andrés; Watson, Layne T.; Renaud, John E. 1 2011 Algorithm 905: SHEPPACK: modified Shepard algorithm for interpolation of scattered multivariate data. Zbl 1364.65028Thacker, William I.; Zhang, Jingwei; Watson, Layne T.; Birch, Jeffrey B.; Iyer, Manjula A.; Berry, Michael W. 16 2010 A modified uniformization method for the solution of the chemical master equation. Zbl 1189.34087Zhang, Jingwei; Watson, Layne T.; Cao, Yang 4 2010 Convergence analysis of hybrid cellular automata for topology optimization. Zbl 1274.74378Penninger, C. L.; Watson, L. T.; Tovar, A.; Renaud, J. E. 1 2010 Algorithm 897: VTDIRECT95: serial and parallel codes for the global optimization algorithm direct. Zbl 1364.65127He, Jian; Watson, Layne T.; Sosonkina, Masha 8 2009 Homotopy curve tracking in approximate interior point optimization. Zbl 1273.90239Pérez, Victor M.; Renaud, John E.; Watson, Layne T. 4 2009 Design and implementation of a massively parallel version of DIRECT. Zbl 1181.90138He, Jian; Verstak, Alex; Watson, Layne T.; Sosonkina, Masha 10 2008 Deterministic parallel global parameter estimation for a model of the budding yeast cell cycle. Zbl 1140.68371Panning, Thomas D.; Watson, Layne T.; Allen, Nicholas A.; Chen, Katherine C.; Shaffer, Clifford A.; Tyson, John J. 8 2008 Pitfalls of using a single criterion for selecting experimental designs. Zbl 1195.62129Goel, Tushar; Haftka, Raphael T.; Shyy, Wei; Watson, Layne T. 7 2008 Mixed-precision preconditionders in parallel domain decomposition solvers. Zbl 1139.65022Giraud, Luc; Haidar, Azzam; Watson, Layne T. 3 2008 Numerical integration in statistical decision-theoretic methods for robust design optimization. Zbl 1273.74411Kugele, S. C.; Trosset, M. W.; Watson, L. T. 2 2008 Probability-one homotopy maps for mixed complementarity problems. Zbl 1168.90617Ahuja, Kapil; Watson, Layne T.; Billups, Stephen C. 2 2008 Effect of flexible joints on the stability and large deflections of a triangular frame. Zbl 1155.74346Thacker, W. I.; Wang, C. Y.; Watson, L. T. 1 2008 Algorithm 869: ODRPACK95: a weighted orthogonal distance regression code with bound constraints. Zbl 1365.65024Zwolak, Jason W.; Boggs, Paul T.; Watson, Layne T. 1 2007 Algorithm 857: POLSYS\(_-\)GLP – a parallel general linear product homotopy code for solving polynomial systems of equations. Zbl 1230.65058Su, Hai-Jun; Mccarthy, J. Michael; Sosonkina, Masha; Watson, Layne T. 9 2006 Design of variable-stiffness composite layers using cellular automata. Zbl 1142.74034Setoodeh, Shahriar; Gürdal, Zafer; Watson, Layne T. 8 2006 Decomposition theory for multidisciplinary design optimization problems with mixed integer quasiseparable subsystems. Zbl 1176.90423Haftka, Raphael T.; Watson, Layne T. 3 2006 Pipeline implementation of cellular automata for structural design on message-passing multiprocessors. Zbl 1154.68444Setoodeh, Shahriar; Adams, David B.; Gürdal, Zafer; Watson, Layne T. 2 2006 A general probabilistic model of the PCR process. Zbl 1113.92030Saha, Nilanjan; Watson, Layne T.; Kafadar, Karen; Onufriev, Alexey; Ramakrishnan, Naren; Vasquez-Robinet, Cecilia; Watkinson, Jonathan 1 2006 Multidisciplinary design optimization with quasiseparable subsystems. Zbl 1093.90026Haftka, Raphael T.; Watson, Layne T. 11 2005 Finding all steady state solutions of chemical kinetic models. Zbl 1089.80004Zwolak, Jason W.; Tyson, John J.; Watson, Layne T. 5 2004 A domain decomposition preconditioner for Hermite collocation problems. Zbl 1017.65094Mateescu, Gabriel; Ribbens, Calvin J.; Watson, Layne T. 2 2003 Dynamic data structures for a direct search algorithm. Zbl 1036.90055He, Jian; Watson, Layne T.; Ramakrishnan, Naren; Shaffer, Clifford A.; Verstak, Alex; Jiang, Jing; Bae, Kyung; Tranter, William H. 17 2002 Probability-one homotopies in computational science. Zbl 0996.65055Watson, Layne T. 13 2002 A probability-one homotopy algorithm for nonsmooth equations and mixed complementarity problems. Zbl 1040.65043Billups, Stephen C.; Watson, Layne T. 9 2002 A comparison of three algorithms for tracing nonlinear equilibrium paths of structural systems. Zbl 1011.74043Ragon, S. A.; Gürdal, Z.; Watson, L. T. 9 2002 Convergence analysis for cellular automata applied to truss design. Zbl 1147.74418Slotta, Douglas J.; Tatting, Brian; Watson, Layne T.; Gürdal, Zafer; Missoum, Samy 5 2002 Scalability analysis of parallel GMRES implementations. Zbl 1103.65341Sosonkina, Masha; Allison, Donald C. S.; Watson, Layne T. 1 2002 A comparison of global optimization methods for the design of a high-speed civil transport. Zbl 1014.90072Cox, Steven E.; Haftka, Raphael T.; Baker, Chuck A.; Grossman, Bernard; Mason, William H.; Watson, Layne T. 13 2001 A fully-distributed parallel global search algorithm. Zbl 0999.74119Watson, Layne T.; Baker, Chuck A. 9 2001 Probability-one homotopy algorithms for solving the coupled Lyapunov equations arising in reduced-order \(H^2/H^\infty\) modeling, estimation, and control. Zbl 1028.93011Wang, Y.; Bernstein, D. S.; Watson, L. T. 5 2001 Polynomial response surface approximations for the multidisciplinary design optimization of a high speed civil transport. Zbl 1079.90625Hosder, Serhat; Watson, Layne T.; Grossman, Bernard; Mason, William H.; Kim, Hongman; Haftka, Raphael T.; Cox, Steven E. 5 2001 Numerical analysis 2000. (In 7 vols.) Vol. 4: Optimization and nonlinear equations. Repr. from the Journal of Computational and Applied Mathematics 124, No. 1-2 (2000). Repr. from the Journal of Computational and Applied Mathematics 124, No. 1-2 (2000). Zbl 0959.00012 1 2001 Nonmonotone path following methods for nonsmooth equations and complementarity problems. Zbl 0983.90062Billups, Stephen C.; Speight, Adam L.; Watson, Layne T. 1 2001 Theory of globally convergent probability-one homotopies for nonlinear programming. Zbl 0994.65070Watson, Layne T. 22 2000 Algorithm 801: POLSYS_PLP. A partitioned linear product homotopy code for solving polynomial systems of equations. Zbl 1137.65353Wise, Steven M.; Sommese, Andrew J.; Watson, Layne T. 10 2000 Preconditioning strategies for linear systems arising in tire design. Zbl 1051.65060Sosonkina, Maria; Melson, John T.; Saad, Yousef; Watson, Layne T. 1 2000 A genetic algorithm approach to cluster analysis. Zbl 1043.62516Cowgill, M. C.; Harvey, R. J.; Watson, L. T. 12 1999 Deflections and buckling of a bent elastica in contact with a flat surface. Zbl 0945.74024Plaut, Raymond H.; Suherman, Surjani; Dillard, David A.; Williams, Brad E.; Watson, Layne T. 8 1999 Robust controller synthesis via non-linear matrix inequalities. Zbl 1001.93026Collins, Emmanuel G. jun.; Sadhukhan, Debashis; Watson, Layne T. 4 1999 A new adaptive GMRES algorithm for achieving high accuracy. Zbl 0937.65037Sosonkina, Maria; Watson, Layne T.; Kapania, Rakesh K.; Walker, Homer F. 9 1998 Algorithm 777: HOMPACK90: A suite of Fortran 90 codes for globally convergent homotopy algorithms. Zbl 0913.65042Watson, Layne T.; Sosonkina, Maria; Melville, Robert C.; Morgan, Alexnder P.; Walker, Homer F. 36 1997 Supersonic flows of dense gases in cascade configurations. Zbl 0895.76038Monaco, J. F.; Cramer, M. S.; Watson, L. T. 17 1997 Probability-one homotopy algorithms for robust controller synthesis with fixed-structure multipliers. Zbl 0871.93019Collins, Emmanuel G. jun.; Haddad, Wassim M.; Watson, Layne T.; Sadhukhan, Debashis 3 1997 The promise (and reality) of multidisciplinary design optimization. Zbl 0888.90152Burgee, Susan L.; Watson, Layne T. 1 1997 Globally convergent homotopy algorithms for the combined \(H^2/H^\infty\) model reduction problem. Zbl 0896.93007Ge, Yuzhen; Watson, Layne T.; Collins, Emmanuel G. jun.; Bernstein, Dennis S. 1 1997 Improved genetic algorithm for the design of stiffened composite panels. Zbl 0900.73951Nagendra, S.; Jestin, D.; Gürdal, Z.; Haftka, R. T.; Watson, L. T. 12 1996 Variable-complexity response surface approximations for wing structural weight in HSCT design. Zbl 0878.73048Kaufman, M.; Balabanov, V.; Burgee, S. L.; Giunta, A. A.; Grossman, B.; Haftka, R. T.; Mason, W. H.; Watson, L. T. 8 1996 Note on the end game in homotopy zero curve tracking. Zbl 0884.65044Sosonkina, Maria; Watson, Layne T.; Stewart, David E. 6 1996 The cellular automata paradigm for the parallel solution of heat transfer problems. Zbl 1049.68604Lowekamp, Bruce B.; Watson, Layne T.; Cramer, Mark S. 4 1996 A comparison of homotopies for alternative formulations of the \(L^ 2\) optimal model order reduction problem. Zbl 0864.93028Ge, Y.; Watson, L. T.; Collins, E. G. jun. 1 1996 Probability-one homotopy algorithms for full- and reduced-order \(H^ 2/ H^ \infty\) controller synthesis. Zbl 0861.93008Ge, Yuzhen; Watson, Layne T.; Collins, Emmanuel G. jun.; Bernstein, Dennis S. 1 1996 Steady viscous flow in a triangular cavity. Zbl 0798.76056Ribbens, Calvin J.; Watson, Layne T.; Wang, C.-Y. 16 1994 Steady viscous flow in a trapezoidal cavity. Zbl 0801.76058McQuain, William D.; Ribbens, Calvin J.; Wang, C.-Y.; Watson, Layne T. 11 1994 Preconditioned iterative methods for sparse linear algebra problems arising in circuit simulation. Zbl 0803.65039McQuain, W. D.; Ribbens, C. J.; Watson, L. T.; Melville, R. C. 4 1994 Positivity conditions for quartic polynomials. Zbl 0805.65012Ulrich, Gary; Watson, Layne T. 3 1994 An input normal form homotopy for the \(L^ 2\) optimal model order reduction problem. Zbl 0819.49019Ge, Y.; Collins, E. G. jun.; Watson, L. T.; Davis, L. D. 3 1994 The nonlinear stability of a heavy rigid plate supported by flexible columns. Zbl 0800.73124Thacker, W. I.; Wang, C. Y.; Watson, L. T. 11 1993 Contragredient transformations applied to the optimal projection equations. Zbl 0781.65059Žigić, Dragan; Watson, Layne T.; Beattie, Christopher 8 1993 Multi-objective control-structure optimization via homotopy methods. Zbl 0787.65037Rakowska, Joanna; Haftka, Raphael T.; Watson, Layne T. 7 1993 Computational study of the nonhierarchical decomposition algorithm. Zbl 0792.90072Shankar, Jayashree; Ribbens, Calvin J.; Haftka, Raphael T.; Watson, Layne T. 3 1993 Homotopy approaches to the \(H_ 2\) reduced order model problem. Zbl 0770.93018Žigić, Dragan; Watson, Layne T.; Collins, Emmanuel G. jun.; Bernstein, Dennis S. 3 1993 Preconditioned iterative methods for homotopy curve tracking. Zbl 0747.65035Desa, Colin; Irani, Kashmira M.; Ribbens, Calvin J.; Watson, Layne T.; Walker, Homer F. 8 1992 Diffusion and wave propagation in cellular automaton models of excitable media. Zbl 0744.92002Weimar, Jörg R.; Tyson, John J.; Watson, Layne T. 8 1992 Homotopy methods for solving the optimal projection equations for the \(H_ 2\) reduced order model problem. Zbl 0766.93009Žigić, Dragan; Watson, Layne T.; Collins, Emmanuel G. jun.; Bernstein, Dennis S. 7 1992 Third generation cellular automaton for modeling excitable media. Zbl 0744.92003Weimar, Jörg R.; Tyson, John J.; Watson, Layne T. 6 1992 Experiments with conjugate gradient algorithms for homotopy curve tracking. Zbl 0757.65057Irani, Kashmira M.; Kamat, Manohar P.; Ribbens, Calvin J.; Walker, Homer F.; Watson, Layne T. 5 1991 Spinning of a liquid film from an accelerating disc. Zbl 0726.76107Wang, C. Y.; Watson, L. T.; Alexander, K. A. 5 1991 The application of globally convergent homotopy methods to nonlinear optimization. Zbl 0745.90065Watson, Layne T.; Haftka, Raphael T.; Lutze, Frederick H.; Plautt, Raymond H.; Shin, Philip Y. 2 1991 Vorticity induced by a moving elliptic belt. Zbl 0729.76061Ribbens, Calvin J.; Wang, C.-Y.; Watson, Layne T.; Alexander, Kevin A. 2 1991 Note on unit tangent vector computation for homotopy curve tracking on a hypercube. Zbl 0745.65035Chakraborty, A.; Allison, D. C. S.; Ribbens, C. J.; Watson, L. T. 1 1991 A survey of probability-one homotopy methods for engineering optimization. Zbl 0760.65065Watson, Layne T. 1 1991 Large deformations of a whirling elastic cable. Zbl 0732.73030Wang, C.-Y.; Watson, L. T. 1 1991 Least-change secant update methods for underdetermined systems. Zbl 0733.65032Walker, Homer F.; Watson, Layne T. 21 1990 Magnetohydrodynamic free convection from a disk rotating in a vertical plane. Zbl 0716.76079Thacker, William I.; Watson, Layne T.; Kumar, S. Kishore 6 1990 CP-rays in simplicial cones. Zbl 0734.90097Kelly, Leroy M.; Murty, Katta G.; Watson, Layne T. 6 1990 Globally convergent homotopy methods: A tutorial. Zbl 0689.65033Watson, Layne T. 35 1989 Modern homotopy methods in optimization. Zbl 0693.65046Watson, Layne T.; Haftka, Raphael T. 24 1989 Finding all isolated solutions to polynomial systems using HOMPACK. Zbl 0900.65151Morgan, Alexander P.; Sommese, Andrew J.; Watson, Layne T. 17 1989 Mathematical reduction of a heart dipole model. Zbl 0678.65034Morgan, Alexander P.; Sommese, Andrew; Watson, Layne T. 3 1989 Continuous homotopies for the linear complementarity problem. Zbl 0673.65035Watson, Layne T.; Bixler, J. Patrick; Poore, Aubrey B. 2 1989 Rotating magnetohydrodynamic flow about a stationary disk in a circular magnetic field. Zbl 0678.76113Kumar, S. K.; Thacker, W. I.; Watson, L. T. 2 1989 Magnetohydrodynamic flow between a solid rotating disk and a porous stationary disk. Zbl 0678.76114Kumar, S. Kishore; Thacker, William I.; Watson, Layne T. 2 1989 A globally convergent parallel algorithm for zeros of polynomial systems. Zbl 0704.65037Morgan, Alexander P.; Watson, Layne T. 2 1989 Message length effects for solving polynomial systems on a hypercube. Zbl 0674.65025Pelz, Wolfgang; Watson, Layne T. 1 1989 Magnetohydrodynamic flow and heat transfer about a rotating disk with suction and injection at the disk surface. Zbl 0639.76119Kumar, S. Kishore; Thacker, William I.; Watson, Layne T. 13 1988 Tracing structural optima as a function of available resources by a homotopy method. Zbl 0636.49014Shin, Yung S.; Haftka, Raphael T.; Watson, Layne T.; Plaut, Raymond H. 4 1988 Magnetohydrodynamic flow past a porous rotating disk in a circular magnetic field. Zbl 0668.76151Kumar, S. Kishore; Thacker, William I.; Watson, Layne T. 2 1988 HOMPACK: A suite of codes for globally convergent homotopy algorithms. Zbl 0626.65049Watson, Layne T.; Billups, Stephen C.; Morgan, Alexander P. 94 1987 Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method. Zbl 0635.65099Watson, Layne T.; Scott, Melvin R. 26 1987 Two-point constraint approximation in structural optimization. Zbl 0591.73108Haftka, Raphael T.; Nachlas, Joel A.; Watson, Layne T.; Rizzo, Thomas; Desai, Rajendra 11 1987 Solving Galerkin approximations to nonlinear two-point boundary value problems by a globally convergent homotopy method. Zbl 0645.65043Watson, Layne T.; Scott, L. Ridgway 5 1987 ...and 46 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,305 Authors 64 Watson, Layne Terry 12 Sommese, Andrew John 10 Petković, Miodrag S. 9 Wang, Chang-Yi 8 Beattie, Christopher A. 8 Morgan, Alexander P. 8 Wampler, Charles W. II 8 Yu, Bo 7 Hadjidimos, Apostolos 7 Haftka, Raphael T. 7 Martínez, José Mario 7 Molabahrami, Ahmad 7 Verschelde, Jan 6 Collins, Emmanuel G. jun. 6 Gugercin, Serkan 6 Liuzzi, Giampaolo 6 Morris, Walter D. jun. 6 Turkyilmazoglu, Mustafa 6 Zhu, Zhichuan 5 Argyros, Ioannis Konstantinos 5 Chen, Ruyun 5 Chien, Cheng-Sheng 5 Cinnella, Paola 5 Cottle, Richard W. 5 Cramer, Mark S. 5 Fan, Xiaona 5 Hauenstein, Jonathan D. 5 Herceg, Đorđe D. 5 Kostreva, Michael M. 5 Lucidi, Stefano 5 Paulavičius, Remigijus 5 Piccialli, Veronica 5 Seeger, Alberto 5 Shidfar, Abdollah 5 Thacker, William I. 5 Xu, Qing 5 Žilinskas, Julius 4 Campana, Emilio Fortunato 4 Congedo, Pietro Marco 4 Cools, Ronald 4 Dang, Chuangyin 4 Etman, L. F. P. 4 Floudas, Christodoulos Achilleus 4 Fukushima, Masao 4 Gärtner, Bernd 4 Guardone, Alberto 4 Guddat, Jürgen 4 Hilout, Saïd 4 Khani, Farzad 4 Li, Yong 4 Liu, Hongwei 4 Liu, Tao 4 Pang, Jong-Shi 4 Ribbens, Calvin J. 4 Rooda, Jacobus E. 4 Sergeev, Yaroslav Dmitrievich 4 Tyson, John J. 4 Tzoumas, Michael G. 4 Vázquez-Leal, Héctor 4 Wu, Shiliang 3 Ashida, Fumihiro 3 Atanackovic, Teodor M. 3 Babaei, Afshin 3 Bernstein, Dennis S. 3 Boukouvala, Fani 3 Cavoretto, Roberto 3 Chang, Shing-Lin 3 Colonna, Piero 3 Corre, Christophe 3 De Rossi, Alessandra 3 Dell’Accio, Francesco 3 Di Tommaso, Filomena 3 Dratman, Ezequiel 3 Easterling, David R. 3 Foniok, Jan 3 Francomano, Elisa 3 Gajardo, Pedro 3 Gao, David Yang 3 Gürdal, Zafer 3 Herings, P. Jean-Jacques 3 Ilić, Snežana M. 3 Ishak, Anuar 3 Klaus, Lorenz 3 Kluwick, Alfred 3 Kumar, S. Kishore 3 Kvasov, Dmitriĭ Evgen’evich 3 Larson, Jeffrey 3 Li, Cuixia 3 Li, Tien-Yien 3 Lin, Zhenghua 3 Lu, Xiguan 3 Marinaki, Magdalene 3 Marinakis, Yannis 3 Matsatsinis, Nikolaos F. 3 Mehta, Dhagash 3 Morini, Benedetta 3 Murthy, G. Sri Rama Chandra 3 Nowack, Dieter 3 Paliaga, Marta 3 Parthasarathy, Thiruvenkatachari ...and 1,205 more Authors all top 5 Cited in 193 Serials 58 Applied Mathematics and Computation 48 Journal of Computational and Applied Mathematics 43 Computer Methods in Applied Mechanics and Engineering 31 Journal of Global Optimization 26 Journal of Optimization Theory and Applications 23 Computers & Mathematics with Applications 21 Linear Algebra and its Applications 18 Structural and Multidisciplinary Optimization 17 Computers and Fluids 16 Journal of Fluid Mechanics 16 Mathematical Programming. Series A. 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