{"id":"https://openalex.org/W1992607885","doi":"https://doi.org/10.1002/jcc.540150212","title":"Preconditioners for distance matrix algorithms","display_name":"Preconditioners for distance matrix algorithms","publication_year":1994,"publication_date":"1994-02-01","ids":{"openalex":"https://openalex.org/W1992607885","doi":"https://doi.org/10.1002/jcc.540150212","mag":"1992607885"},"language":"en","primary_location":{"id":"doi:10.1002/jcc.540150212","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jcc.540150212","pdf_url":null,"source":{"id":"https://openalex.org/S21117631","display_name":"Journal of Computational Chemistry","issn_l":"0192-8651","issn":["0192-8651","1096-987X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Chemistry","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/A5070081113","display_name":"W. Glunt","orcid":null},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"W. Glunt","raw_affiliation_strings":["Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027","institution_ids":["https://openalex.org/I143302722"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078083455","display_name":"T. L. Hayden","orcid":null},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"T. L. Hayden","raw_affiliation_strings":["Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027","institution_ids":["https://openalex.org/I143302722"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049891878","display_name":"Marcos Raydan","orcid":"https://orcid.org/0000-0003-0417-7981"},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Raydan","raw_affiliation_strings":["Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027","institution_ids":["https://openalex.org/I143302722"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078083455"],"corresponding_institution_ids":["https://openalex.org/I143302722"],"apc_list":{"value":4840,"currency":"USD","value_usd":4840},"apc_paid":null,"fwci":2.1226,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.84571648,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"15","issue":"2","first_page":"227","last_page":"232"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9977999925613403,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9807000160217285,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.9223822355270386},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.8124544024467468},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6612857580184937},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5896492004394531},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5196912884712219},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.48603683710098267},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45883601903915405},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45573246479034424},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.45234596729278564},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.4283137321472168},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.41149210929870605},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3995034396648407},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34628283977508545},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32052212953567505},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.24657747149467468},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17075887322425842},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11123353242874146}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.9223822355270386},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8124544024467468},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6612857580184937},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5896492004394531},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5196912884712219},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.48603683710098267},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45883601903915405},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45573246479034424},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.45234596729278564},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.4283137321472168},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.41149210929870605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3995034396648407},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34628283977508545},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32052212953567505},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.24657747149467468},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17075887322425842},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11123353242874146},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/jcc.540150212","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jcc.540150212","pdf_url":null,"source":{"id":"https://openalex.org/S21117631","display_name":"Journal of Computational Chemistry","issn_l":"0192-8651","issn":["0192-8651","1096-987X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Chemistry","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320326132","display_name":"Universidad Central de Venezuela","ror":null},{"id":"https://openalex.org/F4320337393","display_name":"Division of Chemistry","ror":"https://ror.org/01ar8dr59"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1582520000","https://openalex.org/W1854226152","https://openalex.org/W1988832667","https://openalex.org/W2023448507","https://openalex.org/W2050096287","https://openalex.org/W2055610959","https://openalex.org/W2059392350","https://openalex.org/W2061475638","https://openalex.org/W2066066088","https://openalex.org/W2077139171","https://openalex.org/W2091688508","https://openalex.org/W2132853570","https://openalex.org/W2163392119","https://openalex.org/W2797708475","https://openalex.org/W2799758885","https://openalex.org/W4242602028"],"related_works":["https://openalex.org/W2357336958","https://openalex.org/W4281839678","https://openalex.org/W2611031068","https://openalex.org/W152950973","https://openalex.org/W2535797495","https://openalex.org/W2300963337","https://openalex.org/W1704347466","https://openalex.org/W2744293077","https://openalex.org/W2082542187","https://openalex.org/W2355987247"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"recent":[2],"gradient":[3,19,107],"algorithm":[4,20],"in":[5,65],"nonlinear":[6],"optimization":[7],"uses":[8],"a":[9,36,47,85,92],"novel":[10],"idea":[11],"that":[12],"avoids":[13],"line":[14],"searches.":[15],"This":[16,89],"so\u2010called":[17],"spectral":[18,106],"works":[21],"well":[22],"when":[23],"the":[24,27,30,60,96,105],"spectrum":[25],"of":[26,29,68,79,98],"Hessian":[28,78],"function":[31],"to":[32,59,73,83,101],"be":[33],"minimized":[34],"has":[35],"small":[37],"range":[38],"or":[39],"is":[40,57,81],"clustered.":[41],"In":[42],"this":[43,52],"article,":[44],"we":[45],"find":[46],"general":[48],"preconditioning":[49,55],"method":[50,56],"for":[51],"algorithm.":[53,108],"The":[54,77],"applied":[58],"stress":[61,80,103],"function,":[62],"which":[63,94],"arises":[64],"many":[66],"applications":[67],"distance":[69],"geometry,":[70],"from":[71],"statistics":[72],"finding":[74],"molecular":[75],"conformations.":[76],"shown":[82],"have":[84],"nice":[86],"block":[87],"structure.":[88],"structure":[90],"yields":[91],"preconditioner":[93],"decreases":[95],"amount":[97],"computation":[99],"needed":[100],"minimize":[102],"by":[104,111],"\u00a9":[109],"1994":[110],"John":[112],"Wiley":[113],"&amp;":[114],"Sons,":[115],"Inc.":[116]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
