{"id":"https://openalex.org/W7204640060","doi":"https://doi.org/10.48550/arxiv.2608.29131","title":"D-RADI: A Low-rank ADI Algorithm for Solving Large-scale Discrete-time Algebraic Riccati Equations","display_name":"D-RADI: A Low-rank ADI Algorithm for Solving Large-scale Discrete-time Algebraic Riccati Equations","publication_year":2026,"publication_date":"2026-08-29","ids":{"openalex":"https://openalex.org/W7204640060","doi":"https://doi.org/10.48550/arxiv.2608.29131"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.29131","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29131","pdf_url":"https://arxiv.org/pdf/2608.29131","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.29131","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053244772","display_name":"Umair Zulfiqar","orcid":"https://orcid.org/0000-0003-3933-8837","observed_orcids":["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":"Zulfiqar, Umair","raw_affiliation_strings":["School of Electronic Information and Electrical Engineering , Yangtze University , Jingzhou , Hubei , 434023 , China"],"raw_orcid":null,"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":1,"corresponding_author_ids":["https://openalex.org/A5053244772"],"corresponding_institution_ids":["https://openalex.org/I177739611"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9916999936103821,"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":0.9916999936103821,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.002300000051036477,"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/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.0008999999845400453,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discrete-time-algebraic-riccati-equation","display_name":"discrete-time algebraic Riccati equation","score":0.9480000138282776},{"id":"https://openalex.org/keywords/alternating-direction-implicit-method","display_name":"alternating direction implicit method","score":0.7979999780654907},{"id":"https://openalex.org/keywords/low-rank-solutions","display_name":"low-rank solutions","score":0.8889999985694885},{"id":"https://openalex.org/keywords/large-scale-linear-systems","display_name":"large-scale linear systems","score":0.7429999709129333},{"id":"https://openalex.org/keywords/model-reduction","display_name":"model reduction","score":0.3089999854564667}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6409000158309937},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5439000129699707},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.5374000072479248},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5009999871253967},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.4781999886035919},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.39070001244544983},{"id":"https://openalex.org/C142363948","wikidata":"https://www.wikidata.org/wiki/Q4736413","display_name":"Alternating direction implicit method","level":3,"score":0.3756999969482422},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3723999857902527},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.361299991607666},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34779998660087585},{"id":"https://openalex.org/C3018263672","wikidata":"https://www.wikidata.org/wiki/Q1296251","display_name":"Efficient algorithm","level":2,"score":0.3273000121116638},{"id":"https://openalex.org/C106516650","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm design","level":2,"score":0.28029999136924744},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.2782000005245209},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27250000834465027}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2608.29131","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29131","pdf_url":"https://arxiv.org/pdf/2608.29131","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.2608.29131","doi":"https://doi.org/10.48550/arxiv.2608.29131","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.29131","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.22152120","doi":"https://doi.org/10.5281/zenodo.22152120","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22152120","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Software"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.29131","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29131","pdf_url":"https://arxiv.org/pdf/2608.29131","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204640060.pdf","grobid_xml":"https://content.openalex.org/works/W7204640060.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W7152395293","https://openalex.org/W7156591306","https://openalex.org/W7171415197","https://openalex.org/W7204181350"],"related_works":["https://openalex.org/W2952100212","https://openalex.org/W7213898108","https://openalex.org/W7152395293","https://openalex.org/W7156591306","https://openalex.org/W1964040721","https://openalex.org/W2043153343","https://openalex.org/W4408274617","https://openalex.org/W2539572510","https://openalex.org/W2953128711","https://openalex.org/W7167205390"],"abstract_inverted_index":{"D-RADI":[0],"is":[1],"a":[2],"computationally":[3],"efficient,":[4],"low-rank":[5,10],"ADI":[6,16,29],"algorithm":[7],"that":[8],"computes":[9],"solutions":[11],"to":[12],"large-scale":[13],"DAREs.":[14],"The":[15],"shifts":[17],"are":[18],"generated":[19],"automatically,":[20],"without":[21],"any":[22],"user":[23],"intervention.":[24],"Ref.":[25],"D-RADI:":[26],"A":[27],"Low-rank":[28],"Algorithm":[30],"for":[31],"Solving":[32],"Large-scale":[33],"Discrete-time":[34],"Algebraic":[35],"Riccati":[36],"Equations,":[37],"ArXiv":[38]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-08-30T00:00:00"}