Audet, Charles; Hansen, Pierre; Svrtan, Dragutin Using symbolic calculations to determine largest small polygons. (English) Zbl 1480.51006 J. Glob. Optim. 81, No. 1, 261-268 (2021). MSC: 51M16 51M04 52A40 68U05 PDFBibTeX XMLCite \textit{C. Audet} et al., J. Glob. Optim. 81, No. 1, 261--268 (2021; Zbl 1480.51006) Full Text: DOI
Belhaiza, Slim; Audet, Charles; Hansen, Pierre A note on bimatrix game maximal Selten subsets. (English) Zbl 1308.91007 Arab. J. Math. 3, No. 3, 299-311 (2014). MSC: 91A05 91A10 90C90 90C05 PDFBibTeX XMLCite \textit{S. Belhaiza} et al., Arab. J. Math. 3, No. 3, 299--311 (2014; Zbl 1308.91007) Full Text: DOI
Audet, Charles; Hansen, Pierre; Messine, Frédéric; Ninin, Jordan The small octagons of maximal width. (English) Zbl 1269.52002 Discrete Comput. Geom. 49, No. 3, 589-600 (2013). MSC: 52A10 PDFBibTeX XMLCite \textit{C. Audet} et al., Discrete Comput. Geom. 49, No. 3, 589--600 (2013; Zbl 1269.52002) Full Text: DOI
Belhaiza, Slim; Audet, Charles; Hansen, Pierre On proper refinement of Nash equilibria for bimatrix games. (English. French summary) Zbl 1259.91006 Automatica 48, No. 2, 297-303 (2012). MSC: 91A10 49N10 PDFBibTeX XMLCite \textit{S. Belhaiza} et al., Automatica 48, No. 2, 297--303 (2012; Zbl 1259.91006) Full Text: DOI
Audet, Charles; Hansen, Pierre; Perron, Sylvain Remarks on solutions to a nonconvex quadratic programming test problem. (English) Zbl 1220.90078 J. Glob. Optim. 50, No. 2, 363-369 (2011). MSC: 90C20 90C26 PDFBibTeX XMLCite \textit{C. Audet} et al., J. Glob. Optim. 50, No. 2, 363--369 (2011; Zbl 1220.90078) Full Text: DOI
Audet, Charles; Guillou, Anthony; Hansen, Pierre; Messine, Frédéric; Perron, Sylvain The small hexagon and heptagon with maximum sum of distances between vertices. (English) Zbl 1211.90258 J. Glob. Optim. 49, No. 3, 467-480 (2011). MSC: 90C35 PDFBibTeX XMLCite \textit{C. Audet} et al., J. Glob. Optim. 49, No. 3, 467--480 (2011; Zbl 1211.90258) Full Text: DOI
Audet, Charles; Fournier, Xavier; Hansen, Pierre; Messine, Frédéric A note on diameters of point sets. (English) Zbl 1202.90222 Optim. Lett. 4, No. 4, 585-595 (2010). MSC: 90C27 PDFBibTeX XMLCite \textit{C. Audet} et al., Optim. Lett. 4, No. 4, 585--595 (2010; Zbl 1202.90222) Full Text: DOI
Audet, Charles; Belhaiza, Slim; Hansen, Pierre A new sequence form approach for the enumeration and refinement of all extreme Nash equilibria for extensive form games. (English) Zbl 1193.91019 Int. Game Theory Rev. 11, No. 4, 437-451 (2009). MSC: 91A18 91A05 90C05 PDFBibTeX XMLCite \textit{C. Audet} et al., Int. Game Theory Rev. 11, No. 4, 437--451 (2009; Zbl 1193.91019) Full Text: DOI
Audet, Charles; Hansen, Pierre; Messine, Frédéric Extremal problems for convex polygons – an update. (English) Zbl 1182.65088 Pardalos, Panos M. (ed.) et al., Lectures on global optimization. Papers based on the presentations at the workshop on global optimization: methods and applications, Toronto, Canada, May 11–12, 2007. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4485-4/hbk). Fields Institute Communications 55, 1-16 (2009). MSC: 65K05 52B60 90C20 PDFBibTeX XMLCite \textit{C. Audet} et al., Fields Inst. Commun. 55, 1--16 (2009; Zbl 1182.65088)
Audet, Charles; Hansen, Pierre; Messine, Frédéric Simple polygons of maximum perimeter contained in a unit disk. (English) Zbl 1166.52003 Discrete Comput. Geom. 41, No. 2, 208-215 (2009). Reviewer: Mikhail Ostrovskii (Queens) MSC: 52A10 PDFBibTeX XMLCite \textit{C. Audet} et al., Discrete Comput. Geom. 41, No. 2, 208--215 (2009; Zbl 1166.52003) Full Text: DOI
Audet, Charles; Hansen, Pierre; Messine, Frédéric Isoperimetric polygons of maximum width. (English) Zbl 1160.52001 Discrete Comput. Geom. 41, No. 1, 45-60 (2009). MSC: 52A10 65K05 65K10 PDFBibTeX XMLCite \textit{C. Audet} et al., Discrete Comput. Geom. 41, No. 1, 45--60 (2009; Zbl 1160.52001) Full Text: DOI
Audet, Charles; Hansen, Pierre; Messine, Frédéric Ranking small regular polygons by area and by perimeter. (Russian) Zbl 1249.52005 Diskretn. Anal. Issled. Oper. 15, No. 3, 65-73 (2008). MSC: 52A38 PDFBibTeX XMLCite \textit{C. Audet} et al., Diskretn. Anal. Issled. Oper. 15, No. 3, 65--73 (2008; Zbl 1249.52005)
Audet, Charles; Hansen, Pierre; Karam, Alejandro; Ng, Chi To; Perron, Sylvain Exact \(L_{2}\)-norm plane separation. (English) Zbl 1159.90514 Optim. Lett. 2, No. 4, 483-495 (2008). MSC: 90C46 90C20 90C26 PDFBibTeX XMLCite \textit{C. Audet} et al., Optim. Lett. 2, No. 4, 483--495 (2008; Zbl 1159.90514) Full Text: DOI
Audet, Charles; Hansen, Pierre; Messine, Frédéric Extremal problems for convex polygons. (English) Zbl 1179.90306 J. Glob. Optim. 38, No. 2, 163-179 (2007). MSC: 90C30 52A40 52B55 PDFBibTeX XMLCite \textit{C. Audet} et al., J. Glob. Optim. 38, No. 2, 163--179 (2007; Zbl 1179.90306) Full Text: DOI
Audet, Charles; Hansen, Pierre; Messine, Frédéric The small octagon with longest perimeter. (English) Zbl 1259.90096 J. Comb. Theory, Ser. A 114, No. 1, 135-150 (2007). MSC: 90C26 PDFBibTeX XMLCite \textit{C. Audet} et al., J. Comb. Theory, Ser. A 114, No. 1, 135--150 (2007; Zbl 1259.90096) Full Text: DOI
Audet, C.; Belhaiza, S.; Hansen, P. Enumeration of all the extreme equilibria in game theory: bimatrix and polymatrix games. (English) Zbl 1122.91009 J. Optim. Theory Appl. 129, No. 3, 349-372 (2006). Reviewer: Tadeusz Radzik (Jelenia Góra) MSC: 91A10 91A05 91A06 91B50 PDFBibTeX XMLCite \textit{C. Audet} et al., J. Optim. Theory Appl. 129, No. 3, 349--372 (2006; Zbl 1122.91009) Full Text: DOI
Audet, Charles (ed.); Hansen, Pierre (ed.); Savard, Gilles (ed.) Essays and surveys in global optimization. (English) Zbl 1071.90001 GERAD 25th Anniversary Series 7. New York, NY: Springer (ISBN 0-387-25569-9/hbk). xiv, 294 p. (2005). MSC: 90-06 91-06 00B15 PDFBibTeX XMLCite \textit{C. Audet} (ed.) et al., Essays and surveys in global optimization. New York, NY: Springer (2005; Zbl 1071.90001) Full Text: DOI
Audet, Charles; Brimberg, Jack; Hansen, Pierre; Le Digabel, Sébastien; Mladenović, Nenad Pooling problem: alternate formulations and solution methods. (English) Zbl 1232.90349 Manage. Sci. 50, No. 6, 761-776 (2004). MSC: 90C59 90C57 PDFBibTeX XMLCite \textit{C. Audet} et al., Manage. Sci. 50, No. 6, 761--776 (2004; Zbl 1232.90349) Full Text: DOI Link
Audet, Charles; Carrizosa, Emilio; Hansen, Pierre An exact method for fractional goal programming. (English) Zbl 1084.90042 J. Glob. Optim. 29, No. 1, 113-120 (2004). MSC: 90C32 90C29 PDFBibTeX XMLCite \textit{C. Audet} et al., J. Glob. Optim. 29, No. 1, 113--120 (2004; Zbl 1084.90042) Full Text: DOI
Audet, Charles; Hansen, Pierre; Messine, Frédéric; Perron, Sylvain The minimum diameter octagon with unit-length sides: Vincze’s wife’s octagon is suboptimal. (English) Zbl 1107.90031 J. Comb. Theory, Ser. A 108, No. 1, 63-75 (2004). MSC: 90C20 90C26 PDFBibTeX XMLCite \textit{C. Audet} et al., J. Comb. Theory, Ser. A 108, No. 1, 63--75 (2004; Zbl 1107.90031) Full Text: DOI
Audet, Charles; Hansen, Pierre; Le Digabel, Sébastien Exact solution of three nonconvex quadratic programming problems. (English) Zbl 1165.90584 Floudas, Christodoulos A. (ed.) et al., Frontiers in global optimization. Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-7699-1/hbk). Nonconvex Optim. Appl. 74, 25-43 (2004). MSC: 90C20 90C26 91B28 PDFBibTeX XMLCite \textit{C. Audet} et al., Nonconvex Optim. Appl. 74, 25--43 (2004; Zbl 1165.90584)
Audet, Charles; Hansen, Pierre; Messine, Frédéric; Xiong, Junjie The largest small octagon. (English) Zbl 1022.90013 J. Comb. Theory, Ser. A 98, No. 1, 46-59 (2002). MSC: 90C20 51-XX 52-XX PDFBibTeX XMLCite \textit{C. Audet} et al., J. Comb. Theory, Ser. A 98, No. 1, 46--59 (2002; Zbl 1022.90013)
Audet, Charles; Hansen, Pierre; Jaumard, Brigitte; Savard, Gilles Enumeration of all extreme equilibria of bimatrix games. (English) Zbl 0996.91004 SIAM J. Sci. Comput. 23, No. 1, 323-338 (2001). MSC: 91A10 91A05 90C31 PDFBibTeX XMLCite \textit{C. Audet} et al., SIAM J. Sci. Comput. 23, No. 1, 323--338 (2001; Zbl 0996.91004) Full Text: DOI
Audet, Charles; Hansen, Pierre; Jaumard, Brigitte; Savard, Gilles A branch and cut algorithm for nonconvex quadratically constrained quadratic programming. (English) Zbl 0966.90057 Math. Program. 87, No. 1 (A), 131-152 (2000). Reviewer: Paulo Mbunga (Berlin) MSC: 90C20 90C57 90C26 PDFBibTeX XMLCite \textit{C. Audet} et al., Math. Program. 87, No. 1 (A), 131--152 (2000; Zbl 0966.90057) Full Text: DOI Link
Audet, Charles; Hansen, Pierre; Jaumard, Brigitte; Savard, Gilles A symmetrical linear maxmin approach to disjoint bilinear programming. (English) Zbl 0980.90051 Math. Program. 85, No. 3 (A), 573-592 (1999). MSC: 90C08 90C57 90C47 90C05 PDFBibTeX XMLCite \textit{C. Audet} et al., Math. Program. 85, No. 3 (A), 573--592 (1999; Zbl 0980.90051) Full Text: DOI
Audet, Charles; Hansen, Pierre; Jaumard, Brigitte; Savard, Gilles On the linear maxmin and related programming problems. (English) Zbl 0911.90251 Migdalas, Athanasios (ed.) et al., Multilevel optimization: algorithms and applications. Dordrecht: Kluwer Academic Publishers. Nonconvex Optim. Appl. 20, 181-208 (1998). MSC: 90C05 90C10 91A65 90C11 90C09 PDFBibTeX XMLCite \textit{C. Audet} et al., Nonconvex Optim. Appl. 20, 181--208 (1998; Zbl 0911.90251)
Audet, C.; Hansen, P.; Jaumard, B.; Savard, G. Links between linear bilevel and mixed 0-1 programming problems. (English) Zbl 0901.90153 J. Optimization Theory Appl. 93, No. 2, 273-300 (1997). MSC: 90C11 PDFBibTeX XMLCite \textit{C. Audet} et al., J. Optim. Theory Appl. 93, No. 2, 273--300 (1997; Zbl 0901.90153) Full Text: DOI