{"id":"https://openalex.org/W1985148584","doi":"https://doi.org/10.1007/s11590-014-0775-1","title":"Projection onto simplicial cones by a semi-smooth Newton method","display_name":"Projection onto simplicial cones by a semi-smooth Newton method","publication_year":2014,"publication_date":"2014-08-03","ids":{"openalex":"https://openalex.org/W1985148584","doi":"https://doi.org/10.1007/s11590-014-0775-1","mag":"1985148584"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-014-0775-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-014-0775-1","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","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/A5026963153","display_name":"O. P. Ferreira","orcid":"https://orcid.org/0000-0002-5758-0320"},"institutions":[{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]},{"id":"https://openalex.org/I4210153325","display_name":"Institute of Mathematical Statistics","ror":"https://ror.org/043f04882","country_code":"US","type":"other","lineage":["https://openalex.org/I4210153325"]}],"countries":["BG","CZ","US"],"is_corresponding":true,"raw_author_name":"O. P. Ferreira","raw_affiliation_strings":["Institute of Mathematics and Statistics, IME/UFG, Campus II- Caixa Postal 131, Goi\u00e2nia, GO, 74001-970, Brazil","Institute of Mathematics and Statistics"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Statistics, IME/UFG, Campus II- Caixa Postal 131, Goi\u00e2nia, GO, 74001-970, Brazil","institution_ids":[]},{"raw_affiliation_string":"Institute of Mathematics and Statistics","institution_ids":["https://openalex.org/I4210153325","https://openalex.org/I4210105926","https://openalex.org/I4210120266"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008654420","display_name":"S. Z. N\u00e9meth","orcid":"https://orcid.org/0000-0001-9768-4530"},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"S. Z. N\u00e9meth","raw_affiliation_strings":["School of Mathematics, The University of Birmingham, The Watson Building, Edgbaston, Birmingham, B15 2TT, UK","The University of BIRMINGHAM"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, The University of Birmingham, The Watson Building, Edgbaston, Birmingham, B15 2TT, UK","institution_ids":["https://openalex.org/I79619799"]},{"raw_affiliation_string":"The University of BIRMINGHAM","institution_ids":["https://openalex.org/I79619799"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026963153"],"corresponding_institution_ids":["https://openalex.org/I4210105926","https://openalex.org/I4210120266","https://openalex.org/I4210153325"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.912,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.92676292,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"9","issue":"4","first_page":"731","last_page":"741"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9988999962806702,"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":0.995199978351593,"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/mathematics","display_name":"Mathematics","score":0.7493797540664673},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.7194519639015198},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6304076910018921},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6032984256744385},{"id":"https://openalex.org/keywords/simplicial-approximation-theorem","display_name":"Simplicial approximation theorem","score":0.5239053964614868},{"id":"https://openalex.org/keywords/convex-cone","display_name":"Convex cone","score":0.48982927203178406},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.48515138030052185},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.48247483372688293},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47474604845046997},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.47274884581565857},{"id":"https://openalex.org/keywords/simplicial-homology","display_name":"Simplicial homology","score":0.458236962556839},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4491710662841797},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3188452124595642},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.23164579272270203},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22814875841140747},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.21087846159934998},{"id":"https://openalex.org/keywords/simplicial-set","display_name":"Simplicial set","score":0.14944913983345032},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.10828623175621033},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07651779055595398}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7493797540664673},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.7194519639015198},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6304076910018921},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6032984256744385},{"id":"https://openalex.org/C64245159","wikidata":"https://www.wikidata.org/wiki/Q3983972","display_name":"Simplicial approximation theorem","level":5,"score":0.5239053964614868},{"id":"https://openalex.org/C28340159","wikidata":"https://www.wikidata.org/wiki/Q2256541","display_name":"Convex cone","level":5,"score":0.48982927203178406},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48515138030052185},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.48247483372688293},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47474604845046997},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.47274884581565857},{"id":"https://openalex.org/C3469331","wikidata":"https://www.wikidata.org/wiki/Q7520902","display_name":"Simplicial homology","level":3,"score":0.458236962556839},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4491710662841797},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3188452124595642},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.23164579272270203},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22814875841140747},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.21087846159934998},{"id":"https://openalex.org/C155366967","wikidata":"https://www.wikidata.org/wiki/Q1467124","display_name":"Simplicial set","level":4,"score":0.14944913983345032},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.10828623175621033},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07651779055595398},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C79236096","wikidata":"https://www.wikidata.org/wiki/Q14775269","display_name":"Homotopy category","level":3,"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s11590-014-0775-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-014-0775-1","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.750.9870","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.750.9870","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1404.2427.pdf","raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/bb3669e8-ab4d-4a6a-91ed-5b0d09e3cd5e","is_oa":false,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/bb3669e8-ab4d-4a6a-91ed-5b0d09e3cd5e","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Ferreira, OP & Nemeth, S 2015, 'Projection onto simplicial cones by a semi-smooth Newton method', Optimization Letters, vol. 9, no. 4, pp. 731-741. https://doi.org/10.1007/s11590-014-0775-1","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.atira.dk:publications/bb3669e8-ab4d-4a6a-91ed-5b0d09e3cd5e","is_oa":false,"landing_page_url":"https://research.birmingham.ac.uk/portal/en/publications/projection-onto-simplicial-cones-by-a-semismooth-newton-method(bb3669e8-ab4d-4a6a-91ed-5b0d09e3cd5e).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Ferreira, OP & Nemeth, S 2015, 'Projection onto simplicial cones by a semi-smooth Newton method', Optimization Letters, vol. 9, no. 4, pp. 731-741. https://doi.org/10.1007/s11590-014-0775-1","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W584634945","https://openalex.org/W1490482062","https://openalex.org/W1662589059","https://openalex.org/W1786620475","https://openalex.org/W1973860430","https://openalex.org/W1975826938","https://openalex.org/W1978706921","https://openalex.org/W1986352970","https://openalex.org/W1989452830","https://openalex.org/W1991057740","https://openalex.org/W1998488583","https://openalex.org/W2017610243","https://openalex.org/W2023782398","https://openalex.org/W2033511209","https://openalex.org/W2042293407","https://openalex.org/W2042692551","https://openalex.org/W2047043241","https://openalex.org/W2050958540","https://openalex.org/W2068484625","https://openalex.org/W2070220184","https://openalex.org/W2070243420","https://openalex.org/W2074278738","https://openalex.org/W2085864021","https://openalex.org/W2091069904","https://openalex.org/W2094625682","https://openalex.org/W2134508021","https://openalex.org/W2135108679","https://openalex.org/W2159909156","https://openalex.org/W2160352162","https://openalex.org/W2168601171","https://openalex.org/W2346830606","https://openalex.org/W2610857016","https://openalex.org/W2787523326","https://openalex.org/W3000651840","https://openalex.org/W3111467837","https://openalex.org/W4234534407","https://openalex.org/W4253214256","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4288359443","https://openalex.org/W2969857904","https://openalex.org/W2943582562","https://openalex.org/W2953190840","https://openalex.org/W1992772797","https://openalex.org/W2399269288","https://openalex.org/W4206371202","https://openalex.org/W4301866047","https://openalex.org/W4226073280","https://openalex.org/W287883068"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3}],"updated_date":"2026-04-06T07:47:59.780226","created_date":"2025-10-10T00:00:00"}