{"id":"https://openalex.org/W2087322512","doi":"https://doi.org/10.1007/s10589-007-9029-9","title":"An interior-point affine-scaling trust-region method for semismooth equations with box constraints","display_name":"An interior-point affine-scaling trust-region method for semismooth equations with box constraints","publication_year":2007,"publication_date":"2007-03-21","ids":{"openalex":"https://openalex.org/W2087322512","doi":"https://doi.org/10.1007/s10589-007-9029-9","mag":"2087322512"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-007-9029-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-007-9029-9","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/A5056161700","display_name":"Christian Kanzow","orcid":"https://orcid.org/0000-0003-2897-2509"},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Christian Kanzow","raw_affiliation_strings":["Institute of Mathematics, University of W\u00fcrzburg, Am Hubland, 97074, W\u00fcrzburg, Germany","Institute of Mathematics, University of W\u00fcrzburg, W\u00fcrzburg, Germany 97074#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of W\u00fcrzburg, Am Hubland, 97074, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"Institute of Mathematics, University of W\u00fcrzburg, W\u00fcrzburg, Germany 97074#TAB#","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082526243","display_name":"Andreas Klug","orcid":null},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andreas Klug","raw_affiliation_strings":["Institute of Mathematics, University of W\u00fcrzburg, Am Hubland, 97074, W\u00fcrzburg, Germany","Institute of Mathematics, University of W\u00fcrzburg, W\u00fcrzburg, Germany 97074#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of W\u00fcrzburg, Am Hubland, 97074, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"Institute of Mathematics, University of W\u00fcrzburg, W\u00fcrzburg, Germany 97074#TAB#","institution_ids":["https://openalex.org/I25974101"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056161700"],"corresponding_institution_ids":["https://openalex.org/I25974101"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.1423,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.86838233,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"37","issue":"3","first_page":"329","last_page":"353"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9990000128746033,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/trust-region","display_name":"Trust region","score":0.8164258003234863},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.7718775272369385},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7688455581665039},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.7650635838508606},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.7149754762649536},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.6654366254806519},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5776664018630981},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5762848854064941},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5657287240028381},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4911136329174042},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.48317399621009827},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4693893790245056},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4629543423652649},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3018437623977661},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16606181859970093},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16402623057365417},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15951532125473022}],"concepts":[{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.8164258003234863},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.7718775272369385},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7688455581665039},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.7650635838508606},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7149754762649536},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.6654366254806519},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5776664018630981},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5762848854064941},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5657287240028381},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4911136329174042},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.48317399621009827},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4693893790245056},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4629543423652649},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3018437623977661},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16606181859970093},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16402623057365417},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15951532125473022},{"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-007-9029-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-007-9029-9","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.532.5625","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.532.5625","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mathematik.uni-wuerzburg.de/~kanzow/paper/IntNEP.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W67237221","https://openalex.org/W84287112","https://openalex.org/W147998453","https://openalex.org/W612879516","https://openalex.org/W621833885","https://openalex.org/W1486245746","https://openalex.org/W1499828147","https://openalex.org/W1506342804","https://openalex.org/W1531114903","https://openalex.org/W1543439990","https://openalex.org/W1551360398","https://openalex.org/W1563737017","https://openalex.org/W1596359855","https://openalex.org/W1607862333","https://openalex.org/W1786620475","https://openalex.org/W1965776043","https://openalex.org/W1971947347","https://openalex.org/W1973431552","https://openalex.org/W1976464801","https://openalex.org/W1979382551","https://openalex.org/W1980940812","https://openalex.org/W1982391474","https://openalex.org/W1985229624","https://openalex.org/W1992302167","https://openalex.org/W1992688650","https://openalex.org/W1994015146","https://openalex.org/W2000359198","https://openalex.org/W2005126631","https://openalex.org/W2007630953","https://openalex.org/W2012121807","https://openalex.org/W2013394257","https://openalex.org/W2015957593","https://openalex.org/W2016670346","https://openalex.org/W2025622196","https://openalex.org/W2032933598","https://openalex.org/W2036930530","https://openalex.org/W2038551482","https://openalex.org/W2048221927","https://openalex.org/W2053116529","https://openalex.org/W2053643774","https://openalex.org/W2055183575","https://openalex.org/W2057667075","https://openalex.org/W2058626489","https://openalex.org/W2063677971","https://openalex.org/W2068484625","https://openalex.org/W2071467620","https://openalex.org/W2088055586","https://openalex.org/W2088806118","https://openalex.org/W2089333839","https://openalex.org/W2090689930","https://openalex.org/W2090963365","https://openalex.org/W2093151257","https://openalex.org/W2094960695","https://openalex.org/W2107501462","https://openalex.org/W2113734366","https://openalex.org/W2128234186","https://openalex.org/W2143476164","https://openalex.org/W2148589597","https://openalex.org/W2162988958","https://openalex.org/W2314485382","https://openalex.org/W2506740084","https://openalex.org/W3007791988","https://openalex.org/W4206097460","https://openalex.org/W4299512035","https://openalex.org/W4299637698"],"related_works":["https://openalex.org/W2029338229","https://openalex.org/W1823078487","https://openalex.org/W2363625234","https://openalex.org/W2095983929","https://openalex.org/W1758063681","https://openalex.org/W2498799440","https://openalex.org/W2034177488","https://openalex.org/W2153851007","https://openalex.org/W2044632916","https://openalex.org/W1548681518"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}