{"id":"https://openalex.org/W2091849172","doi":"https://doi.org/10.1137/s1052623400377955","title":"Pattern Search Methods for User-Provided Points: Application to Molecular Geometry Problems","display_name":"Pattern Search Methods for User-Provided Points: Application to Molecular Geometry Problems","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2091849172","doi":"https://doi.org/10.1137/s1052623400377955","mag":"2091849172"},"language":"en","primary_location":{"id":"doi:10.1137/s1052623400377955","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623400377955","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000153236","display_name":"P. Alberto","orcid":"https://orcid.org/0000-0002-2754-7642"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Pedro Alberto","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056717649","display_name":"Fernando Nogueira","orcid":"https://orcid.org/0000-0003-3125-3660"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fernando Nogueira","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060168855","display_name":"Humberto Rocha","orcid":"https://orcid.org/0000-0002-5981-4469"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Humberto Rocha","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5045737795","display_name":"L. N. Vicente","orcid":"https://orcid.org/0000-0003-1097-6384"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lu\u00eds N. Vicente","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5000153236"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0075,"has_fulltext":false,"cited_by_count":58,"citation_normalized_percentile":{"value":0.90229529,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"14","issue":"4","first_page":"1216","last_page":"1236"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9814000129699707,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.7497537732124329},{"id":"https://openalex.org/keywords/energy-minimization","display_name":"Energy minimization","score":0.6726711392402649},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6013885140419006},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5915343165397644},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.565780520439148},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5074374079704285},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5035707354545593},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47044768929481506},{"id":"https://openalex.org/keywords/pattern-search","display_name":"Pattern search","score":0.4606388509273529},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4025026559829712},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3236088752746582},{"id":"https://openalex.org/keywords/computational-chemistry","display_name":"Computational chemistry","score":0.14557746052742004},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10673487186431885},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07995039224624634}],"concepts":[{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.7497537732124329},{"id":"https://openalex.org/C14961307","wikidata":"https://www.wikidata.org/wiki/Q5377176","display_name":"Energy minimization","level":2,"score":0.6726711392402649},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6013885140419006},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5915343165397644},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.565780520439148},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5074374079704285},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5035707354545593},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47044768929481506},{"id":"https://openalex.org/C82691427","wikidata":"https://www.wikidata.org/wiki/Q4291856","display_name":"Pattern search","level":2,"score":0.4606388509273529},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4025026559829712},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3236088752746582},{"id":"https://openalex.org/C147597530","wikidata":"https://www.wikidata.org/wiki/Q369472","display_name":"Computational chemistry","level":1,"score":0.14557746052742004},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10673487186431885},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07995039224624634},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1052623400377955","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623400377955","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8600000143051147,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W30657025","https://openalex.org/W118894001","https://openalex.org/W1487974501","https://openalex.org/W1534273334","https://openalex.org/W1588885766","https://openalex.org/W1966878414","https://openalex.org/W1981745143","https://openalex.org/W1983829719","https://openalex.org/W2001930367","https://openalex.org/W2008292066","https://openalex.org/W2012817868","https://openalex.org/W2026907619","https://openalex.org/W2030976617","https://openalex.org/W2031566686","https://openalex.org/W2045596260","https://openalex.org/W2046001409","https://openalex.org/W2049079467","https://openalex.org/W2050367313","https://openalex.org/W2052637367","https://openalex.org/W2054875385","https://openalex.org/W2058853966","https://openalex.org/W2064558818","https://openalex.org/W2079777091","https://openalex.org/W2081365654","https://openalex.org/W2107073443","https://openalex.org/W2150329826","https://openalex.org/W2152710595","https://openalex.org/W2171074980","https://openalex.org/W2230728100","https://openalex.org/W2312715465","https://openalex.org/W2605471592","https://openalex.org/W2798909945","https://openalex.org/W2801034590","https://openalex.org/W4244913592","https://openalex.org/W4246822839"],"related_works":["https://openalex.org/W2121922170","https://openalex.org/W4250124476","https://openalex.org/W4210838092","https://openalex.org/W2091418430","https://openalex.org/W4246857588","https://openalex.org/W1504381128","https://openalex.org/W1985711950","https://openalex.org/W2153731865","https://openalex.org/W2471196694","https://openalex.org/W2127982566"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,21,42],"the":[4,11,60,69,78,85,101,105,120,141],"application":[5],"of":[6,14,17,36,52,71,88,104,117,122,130,134,143],"pattern":[7,94,135,148],"search":[8,95,136,149],"methods":[9,137,150],"to":[10,32,99,114,164,168],"numerical":[12],"solution":[13],"a":[15,34,37,40,93,127,161,169],"class":[16,51,133],"molecular":[18,25,53],"geometry":[19,54],"problems":[20,48,55],"important":[22],"applications":[23],"in":[24,49,154],"physics":[26],"and":[27,59,84,113],"chemistry.":[28],"The":[29,46,65,146],"goal":[30],"is":[31,63,160],"find":[33],"configuration":[35],"cluster":[38],"or":[39],"molecule":[41],"minimum":[43],"total":[44],"energy.":[45],"minimization":[47],"this":[50,131],"have":[56],"no":[57],"constraints,":[58],"objective":[61,171],"function":[62,80,172],"smooth.":[64],"difficulties":[66],"arise":[67],"from":[68,77],"existence":[70],"several":[72],"local":[73],"minima":[74],"and,":[75],"especially,":[76],"expensive":[79],"evaluation":[81],"(total":[82],"energy)":[83],"possible":[86],"nonavailability":[87],"first-order":[89],"derivatives.":[90,123],"We":[91],"introduce":[92],"approach":[96],"that":[97],"attempts":[98],"exploit":[100],"physical":[102],"nature":[103],"problem":[106],"by":[107],"using":[108],"energy":[109],"lowering":[110],"geometrical":[111],"transformations":[112],"take":[115],"advantage":[116],"parallelism":[118],"without":[119],"use":[121],"Numerical":[124],"results":[125],"for":[126],"particular":[128],"instance":[129],"new":[132,147],"are":[138],"presented,":[139],"showing":[140],"promise":[142],"our":[144],"approach.":[145],"can":[151],"be":[152],"used":[153],"any":[155],"other":[156],"context":[157],"where":[158],"there":[159],"user-provided":[162],"scheme":[163],"generate":[165],"points":[166],"leading":[167],"potential":[170],"decrease.":[173]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}