{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,16]],"date-time":"2025-12-16T12:04:47Z","timestamp":1765886687339,"version":"3.41.2"},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"1-4","license":[{"start":{"date-parts":[[2001,12,1]],"date-time":"2001-12-01T00:00:00Z","timestamp":1007164800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2001,12,1]],"date-time":"2001-12-01T00:00:00Z","timestamp":1007164800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numerical Algorithms"],"published-print":{"date-parts":[[2001,12]]},"DOI":"10.1023\/a:1014046817188","type":"journal-article","created":{"date-parts":[[2003,3,21]],"date-time":"2003-03-21T00:56:49Z","timestamp":1048208209000},"page":"171-186","source":"Crossref","is-referenced-by-count":5,"title":["Nonmonotone Algorithms for Pattern Search Methods"],"prefix":"10.1007","volume":"28","author":[{"given":"Maria Grazia","family":"Gasparo","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alessandra","family":"Papini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Aldo","family":"Pasquali","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"391474_CR1","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1137\/S1052623499352024","volume":"11","author":"C. Audet","year":"2000","unstructured":"C. Audet and J.E. Dennis Jr., Pattern-search algorithms for mixed variable programming, SIAM J. Optim. 11 (2000) 573\u2013594.","journal-title":"SIAM J. Optim."},{"key":"391474_CR2","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/0377-0427(95)00226-X","volume":"71","author":"S. Bellavia","year":"1996","unstructured":"S. Bellavia, M.G. Gasparo and M. Macconi, A switching method for nonlinear systems, J. Comput. Appl. Math. 71 (1996) 83\u201393.","journal-title":"J. Comput. Appl. Math."},{"key":"391474_CR3","doi-asserted-by":"crossref","first-page":"81","DOI":"10.2307\/2985505","volume":"6","author":"G.E.P. Box","year":"1957","unstructured":"G.E.P. Box, Evolutionary operation: a method for increasing industrial productivity, Appl. Statist. 6 (1957) 81\u2013101.","journal-title":"Appl. Statist."},{"key":"391474_CR4","doi-asserted-by":"crossref","first-page":"448","DOI":"10.1137\/0801027","volume":"1","author":"J.E. Dennis Jr.","year":"1991","unstructured":"J.E. Dennis Jr. and V. Torczon, Direct search methods on parallel machines, SIAM J. Optim. 1 (1991) 448\u2013474.","journal-title":"SIAM J. Optim."},{"key":"391474_CR5","unstructured":"E.D. Dolan, R.M. Lewis and V. Torczon, On the local convergence of pattern search, ICASE Technical Report 2000\u201336 (2000)."},{"key":"391474_CR6","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1007\/BF02190313","volume":"81","author":"M.C. Ferris","year":"1994","unstructured":"M.C. Ferris and S. Lucidi, Nonmonotone stabilization methods for nonlinear equations, J. Optim. Theory Appl. 81 (1994) 53\u201371.","journal-title":"J. Optim. Theory Appl."},{"key":"391474_CR7","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1080\/10556789708805664","volume":"8","author":"A. Friedlander","year":"1997","unstructured":"A. Friedlander, M.A. Gomes-Ruggiero, D.N. Kozakevich, J.M. Martinez and S.A. Santos, Solving nonlinear systems of equations by means quasi-Newton methods with a nonmonotone strategy, Optim. Methods Soft. 8 (1997) 25\u201351.","journal-title":"Optim. Methods Soft."},{"key":"391474_CR8","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1080\/10556780008805776","volume":"13","author":"M.G. Gasparo","year":"2000","unstructured":"M.G. Gasparo, A nonmonotone hybrid method for nonlinear systems, Optim.Methods Soft. 13 (2000) 79\u201394.","journal-title":"Optim.Methods Soft."},{"key":"391474_CR9","doi-asserted-by":"crossref","first-page":"707","DOI":"10.1137\/0723046","volume":"23","author":"L. Grippo","year":"1986","unstructured":"L. Grippo, F. Lampariello and S. Lucidi, A nonmonotone line search technique for Newton's method, SIAM J. Numer. Anal. 23 (1986) 707\u2013716.","journal-title":"SIAM J. Numer. Anal."},{"key":"391474_CR10","doi-asserted-by":"crossref","first-page":"779","DOI":"10.1007\/BF01385810","volume":"59","author":"L. Grippo","year":"1991","unstructured":"L. Grippo, F. Lampariello and S. Lucidi, A class of nonmonotone stabilization methods in unconstrained optimization, Numer. Math. 59 (1991) 779\u2013805.","journal-title":"Numer. Math."},{"key":"391474_CR11","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1145\/321062.321069","volume":"8","author":"R. Hooke","year":"1961","unstructured":"R. Hooke and T.A. Jeeves, Direct search solution of numerical and statistical problems, J. ACM 8 (1961) 212\u2013229.","journal-title":"J. ACM"},{"key":"391474_CR12","volume-title":"Iterative Methods for Nonlinear Optimization Problems","author":"S.L.S. Jacobi","year":"1972","unstructured":"S.L.S. Jacobi, J.S. Kowalik and J.J. Pizzo, Iterative Methods for Nonlinear Optimization Problems (Prentice Hall, Englewood Cliffs, NJ, 1972)."},{"key":"391474_CR13","doi-asserted-by":"crossref","first-page":"1082","DOI":"10.1137\/S1052623496300507","volume":"9","author":"R.M. Lewis","year":"1999","unstructured":"R.M. Lewis and V. Torczon, Pattern search algorithms for bound constrained minimization, SIAM. J. Optim. 9 (1999) 1082\u20131099.","journal-title":"SIAM. J. Optim."},{"key":"391474_CR14","doi-asserted-by":"crossref","first-page":"917","DOI":"10.1137\/S1052623497331373","volume":"10","author":"R.M. Lewis","year":"2000","unstructured":"R.M. Lewis and V. Torczon, Pattern search methods for linearly constrained minimization, SIAM. J. Optim. 10 (2000) 917\u2013941.","journal-title":"SIAM. J. Optim."},{"key":"391474_CR15","unstructured":"R.M. Lewis, V. Torczon and M.W. Trosset, Why Pattern Search works, Optima (1988) 1\u20137."},{"key":"391474_CR16","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/S0377-0427(00)00423-4","volume":"124","author":"R.M. Lewis","year":"2000","unstructured":"R.M. Lewis, V. Torczon and M.W. Trosset, Direct search methods then and now, J. Comput. Appl. Math. 124 (2000) 191\u2013207.","journal-title":"J. Comput. Appl. Math."},{"key":"391474_CR17","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1023\/A:1021723128049","volume":"101","author":"G.H. Liu","year":"1999","unstructured":"G.H. Liu, L.L. Jing, L.X. Han and D. Han, A class of nonmonotone conjugate gradient methods for unconstrained optimization, J. Optim. Theory Appl. 101 (1999) 127\u2013140.","journal-title":"J. Optim. Theory Appl."},{"key":"391474_CR18","unstructured":"S. Lucidi and M. Sciandrone, On the global convergence of derivative free methods for unconstrained optimization, Technical Report 32\u201396, DIS, Universita' di Roma \u201cLa Sapienza\u201d (1996)."},{"key":"391474_CR19","volume-title":"Computational Methods in Optimization: A Unified Approach","author":"E. Polak","year":"1971","unstructured":"E. Polak, Computational Methods in Optimization: A Unified Approach (Academic Press, New York, 1971)."},{"key":"391474_CR20","doi-asserted-by":"crossref","first-page":"725","DOI":"10.1137\/S106482759427021X","volume":"17","author":"P. Toint","year":"1996","unstructured":"Ph.L. Toint, An assessment of non-monotone line-search techniques for unconstrained optimization, SIAM J. Sci. Comput. 17 (1996) 725\u2013739.","journal-title":"SIAM J. Sci. Comput."},{"key":"391474_CR21","first-page":"69","volume":"77","author":"P. Toint","year":"1997","unstructured":"Ph.L. Toint, Non-monotone trust-region algorithms for nonlinear optimization subject to convex constraints, Math. Programming 77 (1997) 69\u201394.","journal-title":"Math. Programming"},{"key":"391474_CR22","volume-title":"Multidirectional search: a direct search algorithm for parallel machines","author":"V. Torczon","year":"1989","unstructured":"V. Torczon, Multidirectional search: a direct search algorithm for parallel machines, Ph.D. Thesis, Rice University, Houston, TX (1989)."},{"key":"391474_CR23","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1137\/0801010","volume":"1","author":"V. Torczon","year":"1991","unstructured":"V. Torczon, On the convergence of the multidirectional search algorithm, SIAM J. Optim. 1 (1991) 123\u2013145.","journal-title":"SIAM J. Optim."},{"key":"391474_CR24","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1137\/S1052623493250780","volume":"7","author":"V. Torczon","year":"1997","unstructured":"V. Torczon, On the convergence of pattern search algorithms, SIAM J. Optim. 7 (1997) 1\u201325.","journal-title":"SIAM J. Optim."},{"key":"391474_CR25","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1137\/S1052623495282857","volume":"36","author":"P. Tseng","year":"1999","unstructured":"P. Tseng, Fortified-descent simplicial search method: a general approach, SIAM J. Optim. 36 (1999) 269\u2013288.","journal-title":"SIAM J. Optim."},{"key":"391474_CR26","first-page":"191","volume-title":"Numerical Analysis, Proc. of the 1995 Dundee Biennal Conference in Numerical Analysis","author":"M. Wright","year":"1996","unstructured":"M. Wright, Direct search methods: once scorned, now respectable, in: Numerical Analysis, Proc. of the 1995 Dundee Biennal Conference in Numerical Analysis, eds. D.F. Griffiths and G.A. Watson (Addison-Wesley-Longman, Harlow, UK, 1996) pp. 191\u2013208."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1014046817188.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1014046817188\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1014046817188.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,7]],"date-time":"2025-07-07T07:13:16Z","timestamp":1751872396000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1014046817188"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,12]]},"references-count":26,"journal-issue":{"issue":"1-4","published-print":{"date-parts":[[2001,12]]}},"alternative-id":["391474"],"URL":"https:\/\/doi.org\/10.1023\/a:1014046817188","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"type":"print","value":"1017-1398"},{"type":"electronic","value":"1572-9265"}],"subject":[],"published":{"date-parts":[[2001,12]]}}}