{"id":"https://openalex.org/W2069313750","doi":"https://doi.org/10.1007/s101070100270","title":"A spectral bundle method with bounds","display_name":"A spectral bundle method with bounds","publication_year":2002,"publication_date":"2002-12-01","ids":{"openalex":"https://openalex.org/W2069313750","doi":"https://doi.org/10.1007/s101070100270","mag":"2069313750"},"language":"en","primary_location":{"id":"doi:10.1007/s101070100270","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s101070100270","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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","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/A5058749822","display_name":"Christoph Helmberg","orcid":"https://orcid.org/0000-0002-5288-8000"},"institutions":[{"id":"https://openalex.org/I195893171","display_name":"Zuse Institute Berlin","ror":"https://ror.org/02eva5865","country_code":"DE","type":"facility","lineage":["https://openalex.org/I195893171"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"C. Helmberg","raw_affiliation_strings":["Konrad-Zuse-Zentrum f\u00fcr Informationstechnik Berlin, Takustrasse 7, D-14195 Berlin, Germany, e-mail: helmberg@zib.de, http://www.zib.de/helmberg, , , , , , DE","Konrad-Zuse-Zentrum f\u00fcr Informationstechnik Berlin, Takustrasse 7, D-14195 Berlin, Germany, e-mail: helmberg@zib.de, http://www.zib.de/helmberg, DE"],"affiliations":[{"raw_affiliation_string":"Konrad-Zuse-Zentrum f\u00fcr Informationstechnik Berlin, Takustrasse 7, D-14195 Berlin, Germany, e-mail: helmberg@zib.de, http://www.zib.de/helmberg, , , , , , DE","institution_ids":["https://openalex.org/I195893171"]},{"raw_affiliation_string":"Konrad-Zuse-Zentrum f\u00fcr Informationstechnik Berlin, Takustrasse 7, D-14195 Berlin, Germany, e-mail: helmberg@zib.de, http://www.zib.de/helmberg, DE","institution_ids":["https://openalex.org/I195893171"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111734100","display_name":"Krzysztof C. Kiwiel","orcid":null},"institutions":[{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"funder","lineage":["https://openalex.org/I99542240"]},{"id":"https://openalex.org/I66083562","display_name":"Systems Research Institute","ror":"https://ror.org/0111cp837","country_code":"PL","type":"facility","lineage":["https://openalex.org/I66083562","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"K.C. Kiwiel","raw_affiliation_strings":["Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland, e-mail: kiwiel@ibspan.waw.pl, , , , , , PL","Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland, e-mail: kiwiel@ibspan.waw.pl, , PL"],"affiliations":[{"raw_affiliation_string":"Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland, e-mail: kiwiel@ibspan.waw.pl, , , , , , PL","institution_ids":["https://openalex.org/I66083562","https://openalex.org/I99542240"]},{"raw_affiliation_string":"Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland, e-mail: kiwiel@ibspan.waw.pl, , PL","institution_ids":["https://openalex.org/I99542240"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058749822"],"corresponding_institution_ids":["https://openalex.org/I195893171"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":10.8807,"has_fulltext":false,"cited_by_count":85,"citation_normalized_percentile":{"value":0.98932831,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"93","issue":"2","first_page":"173","last_page":"194"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9879000186920166,"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"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9876000285148621,"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/semidefinite-programming","display_name":"Semidefinite programming","score":0.8660769462585449},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7423903346061707},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.5764825940132141},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5648020505905151},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5477931499481201},{"id":"https://openalex.org/keywords/bundle","display_name":"Bundle","score":0.527862012386322},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.5081801414489746},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4942496120929718},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.43789321184158325},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4289027750492096},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4191294312477112},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1795419454574585}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.8660769462585449},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7423903346061707},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.5764825940132141},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5648020505905151},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5477931499481201},{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.527862012386322},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.5081801414489746},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4942496120929718},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.43789321184158325},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4289027750492096},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4191294312477112},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1795419454574585},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s101070100270","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s101070100270","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.47999998927116394,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2036562274","https://openalex.org/W2121045497","https://openalex.org/W2269291726","https://openalex.org/W2239063252","https://openalex.org/W2128202699","https://openalex.org/W2352839224","https://openalex.org/W2531901171","https://openalex.org/W1985090152","https://openalex.org/W1989395545","https://openalex.org/W2384106618"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}