{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T20:39:30Z","timestamp":1774557570639,"version":"3.50.1"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2010,12,2]],"date-time":"2010-12-02T00:00:00Z","timestamp":1291248000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Program."],"published-print":{"date-parts":[[2012,6]]},"DOI":"10.1007\/s10107-010-0429-8","type":"journal-article","created":{"date-parts":[[2010,11,30]],"date-time":"2010-11-30T21:18:43Z","timestamp":1291151923000},"page":"299-325","source":"Crossref","is-referenced-by-count":59,"title":["Analysis of direct searches for discontinuous functions"],"prefix":"10.1007","volume":"133","author":[{"given":"L. N.","family":"Vicente","sequence":"first","affiliation":[]},{"given":"A. L.","family":"Cust\u00f3dio","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2010,12,2]]},"reference":[{"key":"429_CR1","doi-asserted-by":"crossref","first-page":"606","DOI":"10.1137\/050638382","volume":"17","author":"M.A. Abramson","year":"2006","unstructured":"Abramson M.A., Audet C.: Convergence of mesh adaptive direct search to second-order stationary points. SIAM J. Optim. 17, 606\u2013619 (2006)","journal-title":"SIAM J. Optim."},{"key":"429_CR2","unstructured":"Arroyo, S., Cramer, E., Frank, P., Sabino, J.: Simultaneous aircraft design and airline fleet mix optimization using systems of systems optimization (2009)"},{"key":"429_CR3","doi-asserted-by":"crossref","first-page":"889","DOI":"10.1137\/S1052623400378742","volume":"13","author":"C. Audet","year":"2002","unstructured":"Audet C., Dennis J.E. Jr.: Analysis of generalized pattern searches. SIAM J. Optim. 13, 889\u2013903 (2002)","journal-title":"SIAM J. Optim."},{"key":"429_CR4","doi-asserted-by":"crossref","first-page":"188","DOI":"10.1137\/040603371","volume":"17","author":"C. Audet","year":"2006","unstructured":"Audet C., Dennis J.E. Jr.: Mesh adaptive direct search algorithms for constrained optimization. SIAM J. Optim. 17, 188\u2013217 (2006)","journal-title":"SIAM J. Optim."},{"key":"429_CR5","doi-asserted-by":"crossref","first-page":"642","DOI":"10.1137\/040620886","volume":"17","author":"C. Audet","year":"2006","unstructured":"Audet C., Orban D.: Finding optimal algorithmic parameters using derivative-free optimization. SIAM J. Optim. 17, 642\u2013664 (2006)","journal-title":"SIAM J. Optim."},{"key":"429_CR6","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1137\/070708032","volume":"20","author":"C. Bogani","year":"2009","unstructured":"Bogani C., Gasparo M.G., Papini A.: Generating set search methods for piecewise smooth problems. SIAM J. Optim. 20, 321\u2013335 (2009)","journal-title":"SIAM J. Optim."},{"key":"429_CR7","unstructured":"Cascon, A., Keating, C., Shadwick, W.: The Omega Function. Technical Report. The Finance Development Centre, London (2002)"},{"key":"429_CR8","unstructured":"Clarke, F.H.: Optimization and Nonsmooth Analysis. John Wiley & Sons, New York (1983). Reissued by SIAM, Philadelphia (1990)"},{"key":"429_CR9","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898718768","volume-title":"Introduction to Derivative-Free Optimization, MPS-SIAM Series on Optimization","author":"A.R. Conn","year":"2009","unstructured":"Conn A.R., Scheinberg K., Vicente L.N.: Introduction to Derivative-Free Optimization, MPS-SIAM Series on Optimization. SIAM, Philadelphia (2009)"},{"key":"429_CR10","doi-asserted-by":"crossref","first-page":"770","DOI":"10.1093\/imanum\/drn045","volume":"28","author":"A.L. Cust\u00f3dio","year":"2008","unstructured":"Cust\u00f3dio A.L., Dennis J.E. Jr., Vicente L.N.: Using simplex gradients of nonsmooth functions in direct search methods. IMA J. Numer. Anal. 28, 770\u2013784 (2008)","journal-title":"IMA J. Numer. Anal."},{"key":"429_CR11","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1137\/0614023","volume":"14","author":"N.J. Higham","year":"1993","unstructured":"Higham N.J.: Optimization by direct search in matrix computations. SIAM J. Matrix Anal. Appl. 14, 317\u2013333 (1993)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"429_CR12","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898718027","volume-title":"Accuracy and Stability of Numerical Algorithms","author":"N.J. Higham","year":"2002","unstructured":"Higham N.J.: Accuracy and Stability of Numerical Algorithms. 2nd edn. SIAM, Philadelphia (2002)","edition":"2"},{"key":"429_CR13","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-03271-8","volume-title":"Introduction to the Theory of Nonlinear Optimization","author":"J. Jahn","year":"1996","unstructured":"Jahn J.: Introduction to the Theory of Nonlinear Optimization. Springer-Verlag, Berlin (1996)"},{"key":"429_CR14","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1007\/s10898-008-9396-5","volume":"45","author":"S.J. Kane","year":"2009","unstructured":"Kane S.J., Bartholomew-Biggs M.C., Cross M., Dewar M.: Optimizing omega. J. Glob. Optim. 45, 153\u2013167 (2009)","journal-title":"J. Glob. Optim."},{"key":"429_CR15","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1137\/S003614450242889","volume":"45","author":"T.G. Kolda","year":"2003","unstructured":"Kolda T.G., Lewis R.M., Torczon V.: Optimization by direct search: new perspectives on some classical and modern methods. SIAM Rev. 45, 385\u2013482 (2003)","journal-title":"SIAM Rev."},{"key":"429_CR16","doi-asserted-by":"crossref","first-page":"837","DOI":"10.1090\/S0002-9904-1934-05978-0","volume":"40","author":"E.J. McShane","year":"1934","unstructured":"McShane E.J.: Extension of range of functions. Bull. Am. Math. Soc. 40, 837\u2013842 (1934)","journal-title":"Bull. Am. Math. Soc."},{"key":"429_CR17","unstructured":"Minsky, B., Obradovic, M., Tang, Q., Thapar, R.: Applying a global optimisation algorithm to fund of hedge funds portfolio optimisation (2009)"},{"key":"429_CR18","unstructured":"$${{\\tt NOMADm}}$$ . http:\/\/www.gerad.ca\/NOMAD\/Abramson\/nomadm.html"},{"key":"429_CR19","doi-asserted-by":"crossref","DOI":"10.1515\/9781400873173","volume-title":"Convex Analysis","author":"R.T. Rockafellar","year":"1970","unstructured":"Rockafellar R.T.: Convex Analysis. Princeton University Press, Princeton (1970)"},{"key":"429_CR20","doi-asserted-by":"crossref","first-page":"257","DOI":"10.4153\/CJM-1980-020-7","volume":"32","author":"R.T. Rockafellar","year":"1980","unstructured":"Rockafellar R.T.: Generalized directional derivatives and subgradients of nonconvex functions. Can. J. Math. 32, 257\u2013280 (1980)","journal-title":"Can. J. Math."},{"key":"429_CR21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1137\/S1052623493250780","volume":"7","author":"V. Torczon","year":"1997","unstructured":"Torczon V.: On the convergence of pattern search algorithms. SIAM J. Optim. 7, 1\u201325 (1997)","journal-title":"SIAM J. Optim."}],"container-title":["Mathematical Programming"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10107-010-0429-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10107-010-0429-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10107-010-0429-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T05:50:09Z","timestamp":1559109009000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10107-010-0429-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,12,2]]},"references-count":21,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2012,6]]}},"alternative-id":["429"],"URL":"https:\/\/doi.org\/10.1007\/s10107-010-0429-8","relation":{},"ISSN":["0025-5610","1436-4646"],"issn-type":[{"value":"0025-5610","type":"print"},{"value":"1436-4646","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,12,2]]}}}