{"id":"https://openalex.org/W2095237535","doi":"https://doi.org/10.1007/s10589-012-9464-0","title":"Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems","display_name":"Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems","publication_year":2012,"publication_date":"2012-02-10","ids":{"openalex":"https://openalex.org/W2095237535","doi":"https://doi.org/10.1007/s10589-012-9464-0","mag":"2095237535"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-012-9464-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-012-9464-0","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/A5081841768","display_name":"Valeria Simoncini","orcid":"https://orcid.org/0000-0003-0795-5865"},"institutions":[{"id":"https://openalex.org/I2802536511","display_name":"Italian Aerospace Research Centre","ror":"https://ror.org/01cqx0m58","country_code":"IT","type":"other","lineage":["https://openalex.org/I2802536511"]},{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"V. Simoncini","raw_affiliation_strings":["CIRSA, Ravenna, Italy","Dipartimento di Matematica, Universit\u00e0 di Bologna, Piazza di Porta S. Donato 5, 40127, Bologna, Italy"],"affiliations":[{"raw_affiliation_string":"CIRSA, Ravenna, Italy","institution_ids":["https://openalex.org/I2802536511"]},{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Bologna, Piazza di Porta S. Donato 5, 40127, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5081841768"],"corresponding_institution_ids":["https://openalex.org/I2802536511","https://openalex.org/I9360294"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.219,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.95943177,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"53","issue":"2","first_page":"591","last_page":"617"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9991999864578247,"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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7820075750350952},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7288617491722107},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6200001239776611},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.6099038124084473},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5452396273612976},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4480109214782715},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4416984021663666},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43835946917533875},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.43743062019348145},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4233143925666809},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3610316216945648},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1611596643924713},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07309064269065857}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7820075750350952},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7288617491722107},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6200001239776611},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.6099038124084473},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5452396273612976},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4480109214782715},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4416984021663666},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43835946917533875},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.43743062019348145},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4233143925666809},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3610316216945648},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1611596643924713},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07309064269065857},{"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10589-012-9464-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-012-9464-0","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:53:y:2012:i:2:p:591-617","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-012-9464-0","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"},{"id":"pmh:oai:cris.unibo.it:11585/132614","is_oa":false,"landing_page_url":"http://hdl.handle.net/11585/132614","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1504728223","https://openalex.org/W1522512418","https://openalex.org/W1530661923","https://openalex.org/W1820125862","https://openalex.org/W1966886095","https://openalex.org/W1973836629","https://openalex.org/W1976685335","https://openalex.org/W1977745351","https://openalex.org/W1980053021","https://openalex.org/W1987308380","https://openalex.org/W1992056335","https://openalex.org/W2003550247","https://openalex.org/W2022393370","https://openalex.org/W2041876368","https://openalex.org/W2050959344","https://openalex.org/W2053050827","https://openalex.org/W2059880466","https://openalex.org/W2061519473","https://openalex.org/W2067313886","https://openalex.org/W2071580657","https://openalex.org/W2074780612","https://openalex.org/W2075536798","https://openalex.org/W2083013597","https://openalex.org/W2083622979","https://openalex.org/W2085378537","https://openalex.org/W2085581918","https://openalex.org/W2100481637","https://openalex.org/W2113795148","https://openalex.org/W2133248904","https://openalex.org/W2141870784","https://openalex.org/W2148733093","https://openalex.org/W2152968637","https://openalex.org/W2161327317","https://openalex.org/W2162057287","https://openalex.org/W2165375569","https://openalex.org/W2498157954","https://openalex.org/W2750531793","https://openalex.org/W3007505227","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1892002403","https://openalex.org/W4309005041","https://openalex.org/W2962746246","https://openalex.org/W1989531755","https://openalex.org/W1967384683","https://openalex.org/W1901119619","https://openalex.org/W2378727206","https://openalex.org/W2058275692","https://openalex.org/W2212647145","https://openalex.org/W1010418478"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
