Boggs, Paul T.; Byrd, Richard H. Adaptive, limited-memory BFGS algorithms for unconstrained optimization. (English) Zbl 1431.65082 SIAM J. Optim. 29, No. 2, 1282-1299 (2019). MSC: 65K05 90C30 90C53 PDFBibTeX XMLCite \textit{P. T. Boggs} and \textit{R. H. Byrd}, SIAM J. Optim. 29, No. 2, 1282--1299 (2019; Zbl 1431.65082) Full Text: DOI
Boggs, Paul T.; Gay, David M.; Nash, Stephen G. Using discrete and continuous models to solve nanoporous flow optimization problems. (English) Zbl 1349.76808 Numer. Math., Theory Methods Appl. 8, No. 2, 149-167 (2015). MSC: 76S05 76M25 PDFBibTeX XMLCite \textit{P. T. Boggs} et al., Numer. Math., Theory Methods Appl. 8, No. 2, 149--167 (2015; Zbl 1349.76808) Full Text: DOI Link
Carlberg, Kevin; Tuminaro, Ray; Boggs, Paul Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics. (English) Zbl 1320.65193 SIAM J. Sci. Comput. 37, No. 2, B153-B184 (2015). MSC: 65P10 15A83 47B25 37K05 53D20 65D05 65F30 PDFBibTeX XMLCite \textit{K. Carlberg} et al., SIAM J. Sci. Comput. 37, No. 2, B153--B184 (2015; Zbl 1320.65193) Full Text: DOI arXiv
Boggs, Paul T.; Gay, David M.; Griffiths, Stewart K.; Lewis, Robert Michael; Long, Kevin R.; Nash, Stephen; Nilson, Robert H. Optimization algorithms for hierarchical problems with application to nano-porous materials. (Optimization algorithms for hierarchical problems with application to nanoporous materials.) (English) Zbl 1266.49064 SIAM J. Optim. 22, No. 4, 1285-1308 (2012). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 49M37 49M15 65K05 90C30 PDFBibTeX XMLCite \textit{P. T. Boggs} et al., SIAM J. Optim. 22, No. 4, 1285--1308 (2012; Zbl 1266.49064) Full Text: DOI
Zwolak, Jason W.; Boggs, Paul T.; Watson, Layne T. Algorithm 869: ODRPACK95: a weighted orthogonal distance regression code with bound constraints. (English) Zbl 1365.65024 ACM Trans. Math. Softw. 33, No. 4, Article No. 27, 12 p. (2007). MSC: 65C50 62-04 PDFBibTeX XMLCite \textit{J. W. Zwolak} et al., ACM Trans. Math. Softw. 33, No. 4, Article No. 27, 12 p. (2007; Zbl 1365.65024) Full Text: DOI
Boggs, Paul T.; Long, Kevin R.; Margolis, Stephen B.; Howard, Patricia A. Rapid source inversion for chemical/biological attacks. I: The steady-state case. (English) Zbl 1121.49037 SIAM J. Optim. 17, No. 2, 430-458 (2006). MSC: 49N45 35Q35 49K20 76F10 80M50 PDFBibTeX XMLCite \textit{P. T. Boggs} et al., SIAM J. Optim. 17, No. 2, 430--458 (2006; Zbl 1121.49037) Full Text: DOI
Newman, Gregory A.; Boggs, Paul T. Solution accelerators for large-scale three-dimensional electromagnetic inverse problems. (English) Zbl 1077.78012 Inverse Probl. 20, No. 6, S151-S170 (2004). MSC: 78A46 78A45 PDFBibTeX XMLCite \textit{G. A. Newman} and \textit{P. T. Boggs}, Inverse Probl. 20, No. 6, S151--S170 (2004; Zbl 1077.78012) Full Text: DOI
Kearsley, Anthony J.; Tolle, Jon W.; Boggs, Paul T. Hierarchical control of a linear diffusion equation. (English) Zbl 1060.49024 Biegler, Lorenz T. (ed.) et al., Large-scale PDE-constrained optimization. Berlin: Springer (ISBN 3-540-05045-0/pbk). Lect. Notes Comput. Sci. Eng. 30, 236-249 (2003). MSC: 49M30 65K10 90C29 93A13 93C20 PDFBibTeX XMLCite \textit{A. J. Kearsley} et al., Lect. Notes Comput. Sci. Eng. 30, 236--249 (2003; Zbl 1060.49024)
Boggs, Paul T.; Long, Kevin R. A software system for PDE-constrained optimization problems. (English) Zbl 1046.65047 Di Pillo, Gianni (ed.) et al., High performance algorithms and software for nonlinear optimization. Selected lectures presented at the workshop, Erice, Italy, June 30–July 8, 2001. Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-7532-4/hbk). Appl. Optim. 82, 129-147 (2003). MSC: 65K10 49J20 49M37 PDFBibTeX XMLCite \textit{P. T. Boggs} and \textit{K. R. Long}, Appl. Optim. 82, 129--147 (2003; Zbl 1046.65047)
Boggs, Paul T.; Tolle, Jon W. Sequential quadratic programming for large-scale nonlinear optimization. (English) Zbl 0967.65076 J. Comput. Appl. Math. 124, No. 1-2, 123-137 (2000). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 65K05 90C06 90C30 90C51 90C55 PDFBibTeX XMLCite \textit{P. T. Boggs} and \textit{J. W. Tolle}, J. Comput. Appl. Math. 124, No. 1--2, 123--137 (2000; Zbl 0967.65076) Full Text: DOI
Boggs, Paul T.; Kearsley, Anthony J.; Tolle, Jon W. A global convergence analysis of an algorithm for large-scale nonlinear optimization problems. (English) Zbl 0986.90078 SIAM J. Optim. 9, No. 4, 833-862 (1999). Reviewer: Istvan Maros (London) MSC: 90C55 65K05 49M37 90C06 PDFBibTeX XMLCite \textit{P. T. Boggs} et al., SIAM J. Optim. 9, No. 4, 833--862 (1999; Zbl 0986.90078) Full Text: DOI
Boggs, Paul T.; Kearsley, Anthony J.; Tolle, Jon W. A practical algorithm for general large scale nonlinear optimization problems. (English) Zbl 0986.90077 SIAM J. Optim. 9, No. 3, 755-778 (1999). Reviewer: Istvan Maros (London) MSC: 90C55 90C51 49M37 65K05 PDFBibTeX XMLCite \textit{P. T. Boggs} et al., SIAM J. Optim. 9, No. 3, 755--778 (1999; Zbl 0986.90077) Full Text: DOI
Boggs, Paul T.; Domich, Paul D.; Rogers, Janet E. An interior point method for general large-scale quadratic programming problems. (English) Zbl 0848.90098 Ann. Oper. Res. 62, 419-437 (1996). MSC: 90C20 90C06 PDFBibTeX XMLCite \textit{P. T. Boggs} et al., Ann. Oper. Res. 62, 419--437 (1996; Zbl 0848.90098) Full Text: DOI
Boggs, Paul T.; Tolle, Jon W.; Kearsley, Anthony J. On the convergence of a trust region SQP algorithm for nonlinearly constrained optimization problems. (English) Zbl 0878.90089 Doležal, Jaroslav et al., System modelling and optimization. Proceedings of the 17th IFIP TC7 conference. Prague, Czech Republic, July 10–14, 1995. London: Chapman & Hall. 3-12 (1996). MSC: 90C30 90C06 65K05 PDFBibTeX XMLCite \textit{P. T. Boggs} et al., in: System modelling and optimization. Proceedings of the 17th IFIP TC7 conference. Prague, Czech Republic, July 10--14, 1995. London: Chapman \& Hall. 3--12 (1996; Zbl 0878.90089)
Boggs, Paul T.; Tolle, Jon W. Sequential quadratic programming. (English) Zbl 0828.65060 Iserles, A. (ed.), Acta Numerica 1995. Cambridge: Cambridge University Press. 1-51 (1995). Reviewer: K.Schittkowski (Bayreuth) MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{P. T. Boggs} and \textit{J. W. Tolle}, Acta Numerica 1995, 1--51 (1995; Zbl 0828.65060)
Boggs, Paul T.; Tolle, Jon W.; Kearsley, Anthony J. A truncated SQP algorithm for large scale nonlinear programming problems. (English) Zbl 0808.90115 Gomez, Susana (ed.) et al., Advances in optimization and numerical analysis. Proceedings of the 6th workshop on optimization and numerical analysis, Oaxaca, Mexico, January 1992. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 275, 69-77 (1994). MSC: 90C30 90C06 PDFBibTeX XMLCite \textit{P. T. Boggs} et al., Math. Appl., Dordr. 275, 69--77 (1994; Zbl 0808.90115)
Boggs, Paul T.; Tolle, Jon W. Convergence properties of a class of rank-two updates. (English) Zbl 0821.90097 SIAM J. Optim. 4, No. 2, 262-287 (1994). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{P. T. Boggs} and \textit{J. W. Tolle}, SIAM J. Optim. 4, No. 2, 262--287 (1994; Zbl 0821.90097) Full Text: DOI
Domich, Paul D.; Boggs, Paul T.; Rogers, Janet E.; Witzgall, Christoph Optimizing over three-dimensional subspaces in an interior-point method for linear programming. (English) Zbl 0731.65051 Linear Algebra Appl. 152, 315-342 (1991). Reviewer: S.Wright (Argonne) MSC: 65K05 90C05 PDFBibTeX XMLCite \textit{P. D. Domich} et al., Linear Algebra Appl. 152, 315--342 (1991; Zbl 0731.65051) Full Text: DOI
Witzgall, Christoph; Boggs, Paul T.; Domich, Paul D. On the convergence behavior of trajectories for linear programming. (English) Zbl 0725.90060 Mathematical developments arising from linear programming, Proc. AMS-IMS- SIAM Jt. Summer Res. Conf., Brunswick/ME (USA) 1988, Contemp. Math. 114, 161-187 (1990). MSC: 90C05 65K05 90-08 PDFBibTeX XML
Boggs, Paul T.; Domich, Paul D.; Donaldson, Janet R.; Witzgall, Christoph Algorithmic enhancements to the method of centers for linear programming problems. (English) Zbl 0753.90040 ORSA J. Comput. 1, No. 3, 159-171 (1989). MSC: 90C05 90-08 PDFBibTeX XMLCite \textit{P. T. Boggs} et al., ORSA J. Comput. 1, No. 3, 159--171 (1989; Zbl 0753.90040) Full Text: DOI
Boggs, Paul T.; Tolle, Jon W. A strategy for global convergence in a sequential quadratic programming algorithm. (English) Zbl 0723.65039 SIAM J. Numer. Anal. 26, No. 3, 600-623 (1989). MSC: 65K05 90C20 PDFBibTeX XMLCite \textit{P. T. Boggs} and \textit{J. W. Tolle}, SIAM J. Numer. Anal. 26, No. 3, 600--623 (1989; Zbl 0723.65039) Full Text: DOI
Boggs, Paul T.; Donaldson, Janet R.; Byrd, Richard H.; Schnabel, Robert B. Algorithm 676: ODRPACK: Software for weighted orthogonal distance regression. (English) Zbl 0900.65400 ACM Trans. Math. Softw. 15, No. 4, 348-364 (1989). MSC: 65C99 62J05 PDFBibTeX XMLCite \textit{P. T. Boggs} et al., ACM Trans. Math. Softw. 15, No. 4, 348--364 (1989; Zbl 0900.65400) Full Text: DOI Link
Boggs, Paul T.; Byrd, Richard H.; Schnabel, Robert B. A stable and efficient algorithm for nonlinear orthogonal distance regression. (English) Zbl 0637.65150 SIAM J. Sci. Stat. Comput. 8, 1052-1078 (1987). Reviewer: E.Rozmarová MSC: 65C99 65D10 62J02 PDFBibTeX XMLCite \textit{P. T. Boggs} et al., SIAM J. Sci. Stat. Comput. 8, 1052--1078 (1987; Zbl 0637.65150) Full Text: DOI
Boggs, Paul T.; Tolle, Jon W. An efficient strategy for utilizing a merit function in nonlinear programming algorithms. (English) Zbl 0605.65044 Numerical analysis, Proc. 4th IIMAS Workshop, Guanajuato/Mex. 1984, Lect. Notes Math. 1230, 127-137 (1986). MSC: 65K05 90C30 PDFBibTeX XML
Boggs, Paul T. (ed.); Byrd, Richard H. (ed.); Schnabel, Robert B. (ed.) Numerical optimization 1984. (Proceedings of the SIAM Conference on Numerical Optimization, Boulder, Colorado, June 12-14, 1984). (English) Zbl 0552.00011 Philadelphia: Society for Industrial and Applied Mathematics (SIAM) (distr. by John Wiley & Sons) XI, 287 p. (1985). MSC: 00B25 65-06 49-06 PDFBibTeX XML
Boggs, Paul T.; Tolle, Jon W. A family of descent functions for constrained optimization. (English) Zbl 0575.65066 SIAM J. Numer. Anal. 21, 1146-1161 (1984). Reviewer: K.Schittkowski MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{P. T. Boggs} and \textit{J. W. Tolle}, SIAM J. Numer. Anal. 21, 1146--1161 (1984; Zbl 0575.65066) Full Text: DOI
Boggs, Paul T.; Tolle, Jon W. Merit functions for nonlinear programming problems. (English) Zbl 0531.90080 Numerical analysis, Proc. 3rd IIMAS Workshop, Cocoyoc/Mex. 1981, Lect. Notes Math. 909, 1-10 (1982). Reviewer: I.Maros MSC: 90C30 65K05 49M37 49M15 PDFBibTeX XML
Boggs, Paul T.; Tolle, Jon W.; Wang, Pyng On the local convergence of quasi-Newton methods for constrained optimization. (English) Zbl 0494.65036 SIAM J. Control Optimization 20, 161-171 (1982). MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{P. T. Boggs} et al., SIAM J. Control Optim. 20, 161--171 (1982; Zbl 0494.65036) Full Text: DOI
Boggs, P. T.; Tolle, J. W. Singular perturbation techniques for nonlinear optimization problems. (English) Zbl 0488.49021 Ottimizzazione non lineare e applicazioni, Atti Conv. int., L’Aquila/Italia 1979, 1-32 (1980). MSC: 49M37 34D15 49M29 34E15 90C30 PDFBibTeX XML
Boggs, P. T.; Tolle, J. W. Augmented Lagrangians which are quadratic in the multiplier. (English) Zbl 0416.90059 J. Optimization Theory Appl. 31, 17-26 (1980). MSC: 90C30 49M30 49M29 49M15 PDFBibTeX XMLCite \textit{P. T. Boggs} and \textit{J. W. Tolle}, J. Optim. Theory Appl. 31, 17--26 (1980; Zbl 0416.90059) Full Text: DOI
Wilson, D. G. (ed.); Solomon, Alan D. (ed.); Boggs, Paul T. (ed.) Moving boundary problems. Proceedings of a Symposium sponsored by the Army Research Office and the Mathematics and Statistics Research Department of the Computer Sciences Division of Union Carbide Corporation, Nuclear Division, held Sept. 26-28, 1977, in Gatlinburg, Tenn. (English) Zbl 0432.00011 New York, San Francisco, London: Academic Press. XI, 329 p. $ 20.50 (1978). MSC: 00Bxx 35-06 PDFBibTeX XML
Boggs, Paul T.; Dennis, J. E. jun. A stability analysis for perturbed nonlinear iterative methods. (English) Zbl 0337.65032 Math. Comput. 30, 199-215 (1976). MSC: 65H10 65K05 65J05 PDFBibTeX XMLCite \textit{P. T. Boggs} and \textit{J. E. Dennis jun.}, Math. Comput. 30, 199--215 (1976; Zbl 0337.65032) Full Text: DOI