{"id":"https://openalex.org/W2095374904","doi":"https://doi.org/10.1007/s10589-009-9252-7","title":"Convergence analysis of truncated incomplete Hessian Newton minimization method and application in\u00a0biomolecular potential energy minimization","display_name":"Convergence analysis of truncated incomplete Hessian Newton minimization method and application in\u00a0biomolecular potential energy minimization","publication_year":2009,"publication_date":"2009-05-02","ids":{"openalex":"https://openalex.org/W2095374904","doi":"https://doi.org/10.1007/s10589-009-9252-7","mag":"2095374904"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-009-9252-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-009-9252-7","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","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/A5011582757","display_name":"Dexuan Xie","orcid":"https://orcid.org/0000-0002-7072-6275"},"institutions":[{"id":"https://openalex.org/I43579087","display_name":"University of Wisconsin\u2013Milwaukee","ror":"https://ror.org/031q21x57","country_code":"US","type":"education","lineage":["https://openalex.org/I43579087"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dexuan Xie","raw_affiliation_strings":["Department of Mathematical Sciences, University of Wisconsin, Milwaukee, WI, 53211, USA","Department of Mathematical Sciences, University of Wisconsin, Milwaukee, USA 53211"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Wisconsin, Milwaukee, WI, 53211, USA","institution_ids":["https://openalex.org/I43579087"]},{"raw_affiliation_string":"Department of Mathematical Sciences, University of Wisconsin, Milwaukee, USA 53211","institution_ids":["https://openalex.org/I43579087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017043134","display_name":"Mazen G. Zarrouk","orcid":null},"institutions":[{"id":"https://openalex.org/I43579087","display_name":"University of Wisconsin\u2013Milwaukee","ror":"https://ror.org/031q21x57","country_code":"US","type":"education","lineage":["https://openalex.org/I43579087"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mazen G. Zarrouk","raw_affiliation_strings":["Department of Mathematical Sciences, University of Wisconsin, Milwaukee, WI, 53211, USA","Department of Mathematical Sciences, University of Wisconsin, Milwaukee, USA 53211"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Wisconsin, Milwaukee, WI, 53211, USA","institution_ids":["https://openalex.org/I43579087"]},{"raw_affiliation_string":"Department of Mathematical Sciences, University of Wisconsin, Milwaukee, USA 53211","institution_ids":["https://openalex.org/I43579087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011582757"],"corresponding_institution_ids":["https://openalex.org/I43579087"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.1478533,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"48","issue":"2","first_page":"213","last_page":"232"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10044","display_name":"Protein Structure and Dynamics","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10044","display_name":"Protein Structure and Dynamics","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9929999709129333,"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":0.9900000095367432,"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/hessian-matrix","display_name":"Hessian matrix","score":0.9725285768508911},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.733019232749939},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7216107845306396},{"id":"https://openalex.org/keywords/quasi-newton-method","display_name":"Quasi-Newton method","score":0.6847395896911621},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.6469611525535583},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6022589802742004},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.595508873462677},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.5721182227134705},{"id":"https://openalex.org/keywords/hessian-equation","display_name":"Hessian equation","score":0.5497147440910339},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5138516426086426},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.511993944644928},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.474484920501709},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.4578304886817932},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4171587824821472},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23130327463150024},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.21661359071731567},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18452441692352295},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.07936346530914307}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.9725285768508911},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.733019232749939},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7216107845306396},{"id":"https://openalex.org/C114954040","wikidata":"https://www.wikidata.org/wiki/Q1476018","display_name":"Quasi-Newton method","level":4,"score":0.6847395896911621},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.6469611525535583},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6022589802742004},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.595508873462677},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.5721182227134705},{"id":"https://openalex.org/C73729460","wikidata":"https://www.wikidata.org/wiki/Q17023339","display_name":"Hessian equation","level":4,"score":0.5497147440910339},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5138516426086426},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.511993944644928},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.474484920501709},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.4578304886817932},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4171587824821472},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23130327463150024},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.21661359071731567},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18452441692352295},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.07936346530914307},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10589-009-9252-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-009-9252-7","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8299999833106995,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309350","display_name":"University of Wisconsin-Milwaukee","ror":"https://ror.org/031q21x57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W147216341","https://openalex.org/W242446277","https://openalex.org/W610675618","https://openalex.org/W1491720843","https://openalex.org/W1566694705","https://openalex.org/W1786620475","https://openalex.org/W1966078827","https://openalex.org/W1967737979","https://openalex.org/W1972309861","https://openalex.org/W1976222070","https://openalex.org/W1994722534","https://openalex.org/W2012231377","https://openalex.org/W2014511343","https://openalex.org/W2024044281","https://openalex.org/W2033197339","https://openalex.org/W2033906450","https://openalex.org/W2039992864","https://openalex.org/W2041321873","https://openalex.org/W2041902442","https://openalex.org/W2045454144","https://openalex.org/W2052054742","https://openalex.org/W2061475638","https://openalex.org/W2068484625","https://openalex.org/W2076057716","https://openalex.org/W2078655374","https://openalex.org/W2082865891","https://openalex.org/W2090963365","https://openalex.org/W2091917610","https://openalex.org/W2097281366","https://openalex.org/W2117092343","https://openalex.org/W2122199548","https://openalex.org/W2124984228","https://openalex.org/W2138825634","https://openalex.org/W2155378620","https://openalex.org/W2156871002","https://openalex.org/W2162166182","https://openalex.org/W2569817081","https://openalex.org/W2768565525","https://openalex.org/W2798909945","https://openalex.org/W2995037337","https://openalex.org/W3029645440","https://openalex.org/W4299512035","https://openalex.org/W4301014524"],"related_works":["https://openalex.org/W1991833659","https://openalex.org/W2023266244","https://openalex.org/W203338483","https://openalex.org/W19604512","https://openalex.org/W2015856668","https://openalex.org/W2033626567","https://openalex.org/W1977452077","https://openalex.org/W2089895988","https://openalex.org/W2083194257","https://openalex.org/W2082542187"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}