{"id":"https://openalex.org/W4416526651","doi":"https://doi.org/10.1016/j.jfranklin.2025.108245","title":"A low-rank ADI-variant for cross-gramian based balanced truncation in limited time interval","display_name":"A low-rank ADI-variant for cross-gramian based balanced truncation in limited time interval","publication_year":2025,"publication_date":"2025-11-12","ids":{"openalex":"https://openalex.org/W4416526651","doi":"https://doi.org/10.1016/j.jfranklin.2025.108245"},"language":"en","primary_location":{"id":"doi:10.1016/j.jfranklin.2025.108245","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jfranklin.2025.108245","pdf_url":null,"source":{"id":"https://openalex.org/S183498172","display_name":"Journal of the Franklin Institute","issn_l":"0016-0032","issn":["0016-0032","1879-2693"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Franklin Institute","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":null,"display_name":"Zhong-Yi Huang","orcid":"https://orcid.org/0009-0006-1763-022X"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhong-Yi Huang","raw_affiliation_strings":["School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, 200444, China"],"raw_orcid":"https://orcid.org/0009-0006-1763-022X","affiliations":[{"raw_affiliation_string":"School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, 200444, China","institution_ids":["https://openalex.org/I113940042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080687249","display_name":"Zhiyuan Gao","orcid":"https://orcid.org/0000-0002-9766-8749"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhi-Yuan Gao","raw_affiliation_strings":["School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, 200444, China"],"raw_orcid":"https://orcid.org/0000-0002-9766-8749","affiliations":[{"raw_affiliation_string":"School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, 200444, China","institution_ids":["https://openalex.org/I113940042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050146479","display_name":"Qiu-Yan Song","orcid":"https://orcid.org/0009-0006-4147-5514"},"institutions":[{"id":"https://openalex.org/I4210165606","display_name":"Hubei Normal University","ror":"https://ror.org/056y3dw16","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210165606"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiu-Yan Song","raw_affiliation_strings":["School of Mathematics and Statistics, Hubei Normal University, Huangshi, Hubei, 435002, China"],"raw_orcid":"https://orcid.org/0009-0006-4147-5514","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hubei Normal University, Huangshi, Hubei, 435002, China","institution_ids":["https://openalex.org/I4210165606"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053244772","display_name":"Umair Zulfiqar","orcid":"https://orcid.org/0000-0003-3933-8837"},"institutions":[{"id":"https://openalex.org/I177739611","display_name":"Yangtze University","ror":"https://ror.org/05bhmhz54","country_code":"CN","type":"education","lineage":["https://openalex.org/I177739611"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Umair Zulfiqar","raw_affiliation_strings":["School of Electronic Information and Electrical Engineering, Yangtze University, Jingzhou, Hubei, 434023, China"],"raw_orcid":"https://orcid.org/0000-0003-3933-8837","affiliations":[{"raw_affiliation_string":"School of Electronic Information and Electrical Engineering, Yangtze University, Jingzhou, Hubei, 434023, China","institution_ids":["https://openalex.org/I177739611"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053244772","https://openalex.org/A5080687249"],"corresponding_institution_ids":["https://openalex.org/I113940042","https://openalex.org/I177739611"],"apc_list":{"value":3100,"currency":"USD","value_usd":3100},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19879635,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"362","issue":"18","first_page":"108245","last_page":"108245"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.003599999938160181,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.00039999998989515007,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/sylvester-equation","display_name":"Sylvester equation","score":0.7883999943733215},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.5758000016212463},{"id":"https://openalex.org/keywords/sylvester-matrix","display_name":"Sylvester matrix","score":0.4966999888420105},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.4715000092983246},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4578999876976013},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.39070001244544983},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.3709999918937683}],"concepts":[{"id":"https://openalex.org/C100468782","wikidata":"https://www.wikidata.org/wiki/Q3730848","display_name":"Sylvester equation","level":3,"score":0.7883999943733215},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6384000182151794},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.5758000016212463},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5156999826431274},{"id":"https://openalex.org/C20160815","wikidata":"https://www.wikidata.org/wiki/Q1482452","display_name":"Sylvester matrix","level":5,"score":0.4966999888420105},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.4715000092983246},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4578999876976013},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.39070001244544983},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.3709999918937683},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3668000102043152},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.3257000148296356},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.31200000643730164},{"id":"https://openalex.org/C142363948","wikidata":"https://www.wikidata.org/wiki/Q4736413","display_name":"Alternating direction implicit method","level":3,"score":0.31130000948905945},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3059000074863434},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3025999963283539},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.29249998927116394},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.290800005197525},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.288100004196167},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.26260000467300415},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.25540000200271606}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jfranklin.2025.108245","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jfranklin.2025.108245","pdf_url":null,"source":{"id":"https://openalex.org/S183498172","display_name":"Journal of the Franklin Institute","issn_l":"0016-0032","issn":["0016-0032","1879-2693"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Franklin Institute","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G74295514","display_name":null,"funder_award_id":"62350410484","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1494550340","https://openalex.org/W1586178554","https://openalex.org/W1749930130","https://openalex.org/W1964400575","https://openalex.org/W1966104103","https://openalex.org/W1969325212","https://openalex.org/W2008430533","https://openalex.org/W2036191408","https://openalex.org/W2036605062","https://openalex.org/W2039512556","https://openalex.org/W2063687591","https://openalex.org/W2064733273","https://openalex.org/W2065070456","https://openalex.org/W2069748229","https://openalex.org/W2075097820","https://openalex.org/W2076656421","https://openalex.org/W2086590360","https://openalex.org/W2088872157","https://openalex.org/W2097660079","https://openalex.org/W2128945296","https://openalex.org/W2136556155","https://openalex.org/W2141770513","https://openalex.org/W2167434086","https://openalex.org/W2237236855","https://openalex.org/W2279562973","https://openalex.org/W2745733182","https://openalex.org/W2784766539","https://openalex.org/W2885585524","https://openalex.org/W2963572191","https://openalex.org/W2972401824","https://openalex.org/W2974513633","https://openalex.org/W3095073546","https://openalex.org/W3126295991","https://openalex.org/W4211222663","https://openalex.org/W4366990178","https://openalex.org/W4392517295","https://openalex.org/W4392768880","https://openalex.org/W4403688980"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-11-12T00:00:00"}