{"id":"https://openalex.org/W2106361469","doi":"https://doi.org/10.1109/cdc.2004.1429666","title":"Computation of generalized inverses of periodic systems","display_name":"Computation of generalized inverses of periodic systems","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2106361469","doi":"https://doi.org/10.1109/cdc.2004.1429666","mag":"2106361469"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2004.1429666","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2004.1429666","pdf_url":null,"source":{"id":"https://openalex.org/S4363608267","display_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5078527242","display_name":"Andreas Varga","orcid":"https://orcid.org/0000-0002-6278-2939"},"institutions":[{"id":"https://openalex.org/I2898391981","display_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","ror":"https://ror.org/04bwf3e34","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2898391981"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"A. Varga","raw_affiliation_strings":["German AeroSpace Center, DLR-Oberpfaffenhofen, Institute of Robotics and Mechatronics, Wessling, Germany","Inst. of Robotics & Mechatronics, German Aerosp. Center, Wessling, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"German AeroSpace Center, DLR-Oberpfaffenhofen, Institute of Robotics and Mechatronics, Wessling, Germany","institution_ids":["https://openalex.org/I2898391981"]},{"raw_affiliation_string":"Inst. of Robotics & Mechatronics, German Aerosp. Center, Wessling, Germany","institution_ids":["https://openalex.org/I2898391981"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5078527242"],"corresponding_institution_ids":["https://openalex.org/I2898391981"],"apc_list":null,"apc_paid":null,"fwci":1.1247,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.75806452,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"5397","last_page":"5402 Vol.5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9983000159263611,"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":0.9983000159263611,"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/T13126","display_name":"Scientific Research and Discoveries","score":0.9666000008583069,"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/T10306","display_name":"Liquid Crystal Research Advancements","score":0.9549000263214111,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kronecker-delta","display_name":"Kronecker delta","score":0.7643583416938782},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7017058730125427},{"id":"https://openalex.org/keywords/pencil","display_name":"Pencil (optics)","score":0.6048391461372375},{"id":"https://openalex.org/keywords/kronecker-product","display_name":"Kronecker product","score":0.5821883082389832},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.5145265460014343},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5066824555397034},{"id":"https://openalex.org/keywords/generalized-linear-array-model","display_name":"Generalized linear array model","score":0.4992966651916504},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4927563965320587},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4889899492263794},{"id":"https://openalex.org/keywords/generalized-inverse","display_name":"Generalized inverse","score":0.48380106687545776},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4503744840621948},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.43670907616615295},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4109411835670471},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40060943365097046},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38822701573371887},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.24348744750022888},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2084433138370514},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20781320333480835},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10847049951553345}],"concepts":[{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.7643583416938782},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7017058730125427},{"id":"https://openalex.org/C134949993","wikidata":"https://www.wikidata.org/wiki/Q2068617","display_name":"Pencil (optics)","level":2,"score":0.6048391461372375},{"id":"https://openalex.org/C46030957","wikidata":"https://www.wikidata.org/wiki/Q1238125","display_name":"Kronecker product","level":3,"score":0.5821883082389832},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.5145265460014343},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5066824555397034},{"id":"https://openalex.org/C192016951","wikidata":"https://www.wikidata.org/wiki/Q5532489","display_name":"Generalized linear array model","level":3,"score":0.4992966651916504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4927563965320587},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4889899492263794},{"id":"https://openalex.org/C76134657","wikidata":"https://www.wikidata.org/wiki/Q370634","display_name":"Generalized inverse","level":3,"score":0.48380106687545776},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4503744840621948},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.43670907616615295},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4109411835670471},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40060943365097046},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38822701573371887},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.24348744750022888},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2084433138370514},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20781320333480835},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10847049951553345},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C153720581","wikidata":"https://www.wikidata.org/wiki/Q5532490","display_name":"Generalized linear mixed model","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2004.1429666","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2004.1429666","pdf_url":null,"source":{"id":"https://openalex.org/S4363608267","display_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","raw_type":"proceedings-article"},{"id":"pmh:oai:elib.dlr.de:12241","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196266","display_name":"elib (German Aerospace Center)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2898391981","host_organization_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","host_organization_lineage":["https://openalex.org/I2898391981"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Konferenzbeitrag"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.129.6792","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.129.6792","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.umu.se/~bokg/ssf/publcations_ssf/varga_cdc04p1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1500651004","https://openalex.org/W1511986317","https://openalex.org/W1558536334","https://openalex.org/W1832298826","https://openalex.org/W1968598387","https://openalex.org/W2002881318","https://openalex.org/W2006008863","https://openalex.org/W2019614823","https://openalex.org/W2031984918","https://openalex.org/W2050950707","https://openalex.org/W2055576996","https://openalex.org/W2056787875","https://openalex.org/W2073591146","https://openalex.org/W2094429957","https://openalex.org/W2119085223","https://openalex.org/W2162526609","https://openalex.org/W2166068341","https://openalex.org/W2485496502","https://openalex.org/W4234241286","https://openalex.org/W6630656092","https://openalex.org/W6633342707","https://openalex.org/W6638683755","https://openalex.org/W6684134609"],"related_works":["https://openalex.org/W123417539","https://openalex.org/W4233239985","https://openalex.org/W2079407403","https://openalex.org/W2060299328","https://openalex.org/W2117336295","https://openalex.org/W2073634779","https://openalex.org/W3102722572","https://openalex.org/W2350326496","https://openalex.org/W4241594316","https://openalex.org/W2380287255"],"abstract_inverted_index":{"We":[0],"address":[1],"the":[2,18,26,36,41,55,59,62],"numerically":[3],"reliable":[4],"computation":[5],"of":[6,9,25,58],"generalized":[7,60],"inverses":[8,14],"periodic":[10],"systems.":[11],"The":[12],"underlying":[13],"are":[15],"defined":[16],"via":[17],"corresponding":[19],"lifted":[20],"representations.":[21],"Structure":[22],"preserving":[23],"reduction":[24],"associated":[27],"system":[28],"pencil":[29],"to":[30],"a":[31],"special":[32],"Kronecker-like":[33],"form":[34,45],"is":[35],"main":[37],"computational":[38,56],"ingredient":[39],"for":[40],"proposed":[42],"approach.":[43],"This":[44],"can":[46,66],"be":[47,67],"computed":[48],"by":[49],"employing":[50],"exclusively":[51],"orthogonal":[52],"transformations.":[53],"For":[54],"algorithm":[57],"inverse,":[61],"backward":[63],"numerical":[64],"stability":[65],"proved.":[68]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
