{"id":"https://openalex.org/W2793277954","doi":"https://doi.org/10.1007/s12532-018-0136-7","title":"Cubic regularization in symmetric rank-1 quasi-Newton methods","display_name":"Cubic regularization in symmetric rank-1 quasi-Newton methods","publication_year":2018,"publication_date":"2018-02-11","ids":{"openalex":"https://openalex.org/W2793277954","doi":"https://doi.org/10.1007/s12532-018-0136-7","mag":"2793277954"},"language":"en","primary_location":{"id":"doi:10.1007/s12532-018-0136-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12532-018-0136-7","pdf_url":null,"source":{"id":"https://openalex.org/S173077093","display_name":"Mathematical Programming Computation","issn_l":"1867-2949","issn":["1867-2949","1867-2957"],"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":"Mathematical Programming Computation","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/A5043530455","display_name":"Hande Y. Benson","orcid":"https://orcid.org/0000-0002-5554-9928"},"institutions":[{"id":"https://openalex.org/I72816309","display_name":"Drexel University","ror":"https://ror.org/04bdffz58","country_code":"US","type":"education","lineage":["https://openalex.org/I72816309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hande Y. Benson","raw_affiliation_strings":["Drexel University, Philadelphia, PA, USA","Drexel University, Philadelphia, USA"],"affiliations":[{"raw_affiliation_string":"Drexel University, Philadelphia, PA, USA","institution_ids":["https://openalex.org/I72816309"]},{"raw_affiliation_string":"Drexel University, Philadelphia, USA","institution_ids":["https://openalex.org/I72816309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007272964","display_name":"David F. Shanno","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David F. Shanno","raw_affiliation_strings":["Emeritus, Rutgers University, New Brunswick, NJ, USA","Emeritus, Rutgers University, New Brunswick, USA"],"affiliations":[{"raw_affiliation_string":"Emeritus, Rutgers University, New Brunswick, NJ, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Emeritus, Rutgers University, New Brunswick, USA","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043530455"],"corresponding_institution_ids":["https://openalex.org/I72816309"],"apc_list":{"value":2390,"currency":"EUR","value_usd":3090},"apc_paid":null,"fwci":1.3664,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.7780363,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"10","issue":"4","first_page":"457","last_page":"486"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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":0.9998000264167786,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.916719913482666},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.6093148589134216},{"id":"https://openalex.org/keywords/positive-definiteness","display_name":"Positive definiteness","score":0.5977234840393066},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5905537009239197},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5843619704246521},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5544869303703308},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.530860960483551},{"id":"https://openalex.org/keywords/quasi-newton-method","display_name":"Quasi-Newton method","score":0.5307790040969849},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5230332612991333},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4898659884929657},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.470654159784317},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.46252188086509705},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4529716372489929},{"id":"https://openalex.org/keywords/definiteness","display_name":"Definiteness","score":0.4266824722290039},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4261060953140259},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.3398400545120239},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3021782636642456},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2667180299758911},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1775231659412384},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.08259344100952148}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.916719913482666},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.6093148589134216},{"id":"https://openalex.org/C2778265155","wikidata":"https://www.wikidata.org/wiki/Q7233276","display_name":"Positive definiteness","level":4,"score":0.5977234840393066},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5905537009239197},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5843619704246521},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5544869303703308},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.530860960483551},{"id":"https://openalex.org/C114954040","wikidata":"https://www.wikidata.org/wiki/Q1476018","display_name":"Quasi-Newton method","level":4,"score":0.5307790040969849},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5230332612991333},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4898659884929657},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.470654159784317},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.46252188086509705},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4529716372489929},{"id":"https://openalex.org/C2779056149","wikidata":"https://www.wikidata.org/wiki/Q1182686","display_name":"Definiteness","level":2,"score":0.4266824722290039},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4261060953140259},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.3398400545120239},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3021782636642456},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2667180299758911},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1775231659412384},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.08259344100952148},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12532-018-0136-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12532-018-0136-7","pdf_url":null,"source":{"id":"https://openalex.org/S173077093","display_name":"Mathematical Programming Computation","issn_l":"1867-2949","issn":["1867-2949","1867-2957"],"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":"Mathematical Programming Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1508335918","https://openalex.org/W1892919230","https://openalex.org/W1964166152","https://openalex.org/W1966150378","https://openalex.org/W1966397369","https://openalex.org/W1966539012","https://openalex.org/W1969207618","https://openalex.org/W1971664328","https://openalex.org/W1978347765","https://openalex.org/W1984610741","https://openalex.org/W1988849934","https://openalex.org/W1994974865","https://openalex.org/W2005136695","https://openalex.org/W2009941369","https://openalex.org/W2012960907","https://openalex.org/W2015284103","https://openalex.org/W2021350363","https://openalex.org/W2022772618","https://openalex.org/W2026393324","https://openalex.org/W2035079355","https://openalex.org/W2038087099","https://openalex.org/W2038210983","https://openalex.org/W2042803051","https://openalex.org/W2050768044","https://openalex.org/W2053964895","https://openalex.org/W2056641273","https://openalex.org/W2061054410","https://openalex.org/W2078409719","https://openalex.org/W2081656192","https://openalex.org/W2095211439","https://openalex.org/W2110017196","https://openalex.org/W2120439575","https://openalex.org/W2122565324","https://openalex.org/W2149454052","https://openalex.org/W2156005216","https://openalex.org/W2171926168","https://openalex.org/W2235818383","https://openalex.org/W2276652794","https://openalex.org/W2334809277","https://openalex.org/W2510806995","https://openalex.org/W2530585400","https://openalex.org/W2607928667","https://openalex.org/W3012317737","https://openalex.org/W3021628715","https://openalex.org/W3175721619","https://openalex.org/W4212997115","https://openalex.org/W4254106911","https://openalex.org/W6628927054"],"related_works":["https://openalex.org/W2774735586","https://openalex.org/W2383147277","https://openalex.org/W2369793817","https://openalex.org/W4210436583","https://openalex.org/W3200169917","https://openalex.org/W2089895988","https://openalex.org/W2083194257","https://openalex.org/W2149928253","https://openalex.org/W2012255426","https://openalex.org/W2087978208"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}