{"id":"https://openalex.org/W2795325244","doi":"https://doi.org/10.1007/s10589-018-0001-7","title":"Parallel cyclic reduction strategies for linear systems that arise in dynamic optimization problems","display_name":"Parallel cyclic reduction strategies for linear systems that arise in dynamic optimization problems","publication_year":2018,"publication_date":"2018-03-29","ids":{"openalex":"https://openalex.org/W2795325244","doi":"https://doi.org/10.1007/s10589-018-0001-7","mag":"2795325244"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-018-0001-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-018-0001-7","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/A5071938321","display_name":"Bethany L. Nicholson","orcid":"https://orcid.org/0000-0003-4572-577X"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bethany L. Nicholson","raw_affiliation_strings":["Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213, USA"],"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100784792","display_name":"Wei Wan","orcid":"https://orcid.org/0000-0002-7925-1210"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wei Wan","raw_affiliation_strings":["Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213, USA"],"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030298852","display_name":"Shivakumar Kameswaran","orcid":null},"institutions":[{"id":"https://openalex.org/I923382979","display_name":"ExxonMobil (United States)","ror":"https://ror.org/01xcepn55","country_code":"US","type":"company","lineage":["https://openalex.org/I923382979"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shivakumar Kameswaran","raw_affiliation_strings":["ExxonMobil Research and Engineering Company, Annandale, NJ, 08801, USA"],"affiliations":[{"raw_affiliation_string":"ExxonMobil Research and Engineering Company, Annandale, NJ, 08801, USA","institution_ids":["https://openalex.org/I923382979"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052825722","display_name":"Lorenz T. Biegler","orcid":"https://orcid.org/0000-0003-3875-4441"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lorenz T. Biegler","raw_affiliation_strings":["Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213, USA"],"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5071938321"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3416,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.52256864,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"70","issue":"2","first_page":"321","last_page":"350"},"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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":0.9902999997138977,"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/schur-complement","display_name":"Schur complement","score":0.763702929019928},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7180224657058716},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5822272896766663},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5377751588821411},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5281201601028442},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5217702984809875},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4636595845222473},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4588824212551117},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4308384954929352},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.4271514415740967},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.4159032702445984},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4026806652545929}],"concepts":[{"id":"https://openalex.org/C2731191","wikidata":"https://www.wikidata.org/wiki/Q1778169","display_name":"Schur complement","level":3,"score":0.763702929019928},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7180224657058716},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5822272896766663},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5377751588821411},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5281201601028442},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5217702984809875},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4636595845222473},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4588824212551117},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4308384954929352},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.4271514415740967},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.4159032702445984},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4026806652545929},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-018-0001-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-018-0001-7","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"},{"id":"pmh:oai:RePEc:spr:coopap:v:70:y:2018:i:2:d:10.1007_s10589-018-0001-7","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-018-0001-7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320332434","display_name":"ExxonMobil Research and Engineering Company","ror":"https://ror.org/01xcepn55"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W37627068","https://openalex.org/W433418221","https://openalex.org/W1480074205","https://openalex.org/W1480666649","https://openalex.org/W1480928214","https://openalex.org/W1498989325","https://openalex.org/W1501180370","https://openalex.org/W1545385270","https://openalex.org/W1699757704","https://openalex.org/W1839440842","https://openalex.org/W1965342489","https://openalex.org/W1965741090","https://openalex.org/W1969354366","https://openalex.org/W1971536112","https://openalex.org/W1975501665","https://openalex.org/W1978040945","https://openalex.org/W1989243380","https://openalex.org/W1990523337","https://openalex.org/W1993687012","https://openalex.org/W1993805081","https://openalex.org/W1996810588","https://openalex.org/W2006029823","https://openalex.org/W2014746566","https://openalex.org/W2033624514","https://openalex.org/W2041563548","https://openalex.org/W2051917325","https://openalex.org/W2061323261","https://openalex.org/W2061362698","https://openalex.org/W2062736856","https://openalex.org/W2065139587","https://openalex.org/W2066033531","https://openalex.org/W2071069597","https://openalex.org/W2072855901","https://openalex.org/W2087875545","https://openalex.org/W2103573680","https://openalex.org/W2112185810","https://openalex.org/W2115955659","https://openalex.org/W2123871098","https://openalex.org/W2124749712","https://openalex.org/W2131542146","https://openalex.org/W2159911234","https://openalex.org/W2161802827","https://openalex.org/W2221321873","https://openalex.org/W2229157217","https://openalex.org/W2259982252","https://openalex.org/W2288231337","https://openalex.org/W2292207802","https://openalex.org/W2300303305","https://openalex.org/W2326806701","https://openalex.org/W2334591577","https://openalex.org/W2527215845","https://openalex.org/W2961703895","https://openalex.org/W3206777520","https://openalex.org/W3214499564","https://openalex.org/W4229666556","https://openalex.org/W4235623249","https://openalex.org/W4254591541","https://openalex.org/W4255332333","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2965106131","https://openalex.org/W2114808974","https://openalex.org/W2094757704","https://openalex.org/W25030584","https://openalex.org/W29231041","https://openalex.org/W2610104823","https://openalex.org/W2074889170","https://openalex.org/W2092044038","https://openalex.org/W2144582354","https://openalex.org/W3125179639"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
