{"id":"https://openalex.org/W2019176559","doi":"https://doi.org/10.1007/s10589-005-3231-4","title":"Successive Linearization Methods for Nonlinear Semidefinite Programs","display_name":"Successive Linearization Methods for Nonlinear Semidefinite Programs","publication_year":2005,"publication_date":"2005-07-01","ids":{"openalex":"https://openalex.org/W2019176559","doi":"https://doi.org/10.1007/s10589-005-3231-4","mag":"2019176559"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-005-3231-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-005-3231-4","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 Applied Mathematics and Statistics, University of W\u00fcrzburg, Am Hubland, 97074, W\u00fcrzburg, Germany","Institute of Applied Mathematics and Statistics, University of W\u00fcrzburg, W\u00fcrzburg, Germany 97074"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics and Statistics, University of W\u00fcrzburg, Am Hubland, 97074, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"Institute of Applied Mathematics and Statistics, University of W\u00fcrzburg, W\u00fcrzburg, Germany 97074","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037182524","display_name":"Christian Nagel","orcid":"https://orcid.org/0000-0002-1696-2963"},"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":"Christian Nagel","raw_affiliation_strings":["Institute of Applied Mathematics and Statistics, University of W\u00fcrzburg, Am Hubland, 97074, W\u00fcrzburg, Germany","Institute of Applied Mathematics and Statistics, University of W\u00fcrzburg, W\u00fcrzburg, Germany 97074"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics and Statistics, University of W\u00fcrzburg, Am Hubland, 97074, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"Institute of Applied Mathematics and Statistics, University of W\u00fcrzburg, W\u00fcrzburg, Germany 97074","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086350450","display_name":"Hirokazu Kato","orcid":"https://orcid.org/0000-0003-3921-2871"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hirokazu Kato","raw_affiliation_strings":["Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto, 606-8501, Japan","Department of Applied Mathematics and Physics Graduate School of Informatics, Kyoto University, Kyoto, Japan 606-8501"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto, 606-8501, Japan","institution_ids":["https://openalex.org/I22299242"]},{"raw_affiliation_string":"Department of Applied Mathematics and Physics Graduate School of Informatics, Kyoto University, Kyoto, Japan 606-8501","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058813836","display_name":"Masao Fukushima","orcid":"https://orcid.org/0000-0002-4372-6376"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masao Fukushima","raw_affiliation_strings":["Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto, 606-8501, Japan","Department of Applied Mathematics and Physics Graduate School of Informatics, Kyoto University, Kyoto, Japan 606-8501"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto, 606-8501, Japan","institution_ids":["https://openalex.org/I22299242"]},{"raw_affiliation_string":"Department of Applied Mathematics and Physics Graduate School of Informatics, Kyoto University, Kyoto, Japan 606-8501","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"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":3.4452,"has_fulltext":false,"cited_by_count":77,"citation_normalized_percentile":{"value":0.9273224,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"31","issue":"3","first_page":"251","last_page":"273"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9959999918937683,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9943000078201294,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/semidefinite-embedding","display_name":"Semidefinite embedding","score":0.8618559837341309},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.8302327394485474},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7804557085037231},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.7438325881958008},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.675693154335022},{"id":"https://openalex.org/keywords/second-order-cone-programming","display_name":"Second-order cone programming","score":0.6558119058609009},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.5803216099739075},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.5220546722412109},{"id":"https://openalex.org/keywords/trust-region","display_name":"Trust region","score":0.5058233737945557},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.4863298535346985},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46869349479675293},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4618064761161804},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.44005492329597473},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4314126968383789},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.42772001028060913},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.41108110547065735},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.350678026676178},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.22370514273643494},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1388404667377472},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.12017565965652466},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.10875841975212097},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.0938306450843811}],"concepts":[{"id":"https://openalex.org/C206818286","wikidata":"https://www.wikidata.org/wiki/Q7449403","display_name":"Semidefinite embedding","level":4,"score":0.8618559837341309},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.8302327394485474},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7804557085037231},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.7438325881958008},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.675693154335022},{"id":"https://openalex.org/C111397411","wikidata":"https://www.wikidata.org/wiki/Q7442977","display_name":"Second-order cone programming","level":4,"score":0.6558119058609009},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.5803216099739075},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.5220546722412109},{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.5058233737945557},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.4863298535346985},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46869349479675293},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4618064761161804},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.44005492329597473},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4314126968383789},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.42772001028060913},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.41108110547065735},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.350678026676178},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.22370514273643494},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1388404667377472},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.12017565965652466},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.10875841975212097},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.0938306450843811},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10589-005-3231-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-005-3231-4","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W171072194","https://openalex.org/W1496845253","https://openalex.org/W1507226278","https://openalex.org/W1599634084","https://openalex.org/W1967073510","https://openalex.org/W1977951947","https://openalex.org/W1986468691","https://openalex.org/W2006420513","https://openalex.org/W2007157764","https://openalex.org/W2008829493","https://openalex.org/W2013621063","https://openalex.org/W2031130197","https://openalex.org/W2044924901","https://openalex.org/W2055506505","https://openalex.org/W2066459185","https://openalex.org/W2076425042","https://openalex.org/W2089903473","https://openalex.org/W2109252126","https://openalex.org/W2149365825","https://openalex.org/W2161496432","https://openalex.org/W2167005602","https://openalex.org/W2224084562","https://openalex.org/W3144492735","https://openalex.org/W4210953350","https://openalex.org/W4243539849"],"related_works":["https://openalex.org/W2348903644","https://openalex.org/W2912522929","https://openalex.org/W4231773446","https://openalex.org/W2941716933","https://openalex.org/W2069798394","https://openalex.org/W3143791848","https://openalex.org/W2771160919","https://openalex.org/W4301659259","https://openalex.org/W2597153870","https://openalex.org/W1544933314"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
