{"id":"https://openalex.org/W2042151247","doi":"https://doi.org/10.1137/s0895479895280697","title":"A Characterization and Representation of the Drazin Inverse","display_name":"A Characterization and Representation of the Drazin Inverse","publication_year":1996,"publication_date":"1996-10-01","ids":{"openalex":"https://openalex.org/W2042151247","doi":"https://doi.org/10.1137/s0895479895280697","mag":"2042151247"},"language":"en","primary_location":{"id":"doi:10.1137/s0895479895280697","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479895280697","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis 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":null,"display_name":"Wei Yimin","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Wei Yimin","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0615,"has_fulltext":false,"cited_by_count":88,"citation_normalized_percentile":{"value":0.86908404,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"17","issue":"4","first_page":"744","last_page":"747"},"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":0.9873999953269958,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9679999947547913,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/drazin-inverse","display_name":"Drazin inverse","score":0.9677892923355103},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8700469136238098},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.6993047595024109},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6305649280548096},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5401777625083923},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4990723133087158},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4067181646823883},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3773685693740845},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11741527915000916}],"concepts":[{"id":"https://openalex.org/C2777795832","wikidata":"https://www.wikidata.org/wiki/Q4521948","display_name":"Drazin inverse","level":3,"score":0.9677892923355103},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8700469136238098},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.6993047595024109},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6305649280548096},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5401777625083923},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4990723133087158},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4067181646823883},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3773685693740845},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11741527915000916},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0895479895280697","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479895280697","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W193717806","https://openalex.org/W1993446440","https://openalex.org/W1994892352","https://openalex.org/W1998209214","https://openalex.org/W2028192443","https://openalex.org/W2067898127","https://openalex.org/W2073668838","https://openalex.org/W2077609945","https://openalex.org/W2081595203","https://openalex.org/W2082344166","https://openalex.org/W2083440647","https://openalex.org/W2085562860","https://openalex.org/W2090847218","https://openalex.org/W2118039425","https://openalex.org/W4232603052","https://openalex.org/W4241143925"],"related_works":["https://openalex.org/W2017616362","https://openalex.org/W2356639176","https://openalex.org/W2379864855","https://openalex.org/W2353675278","https://openalex.org/W3149246555","https://openalex.org/W4241484747","https://openalex.org/W2803575799","https://openalex.org/W2951391281","https://openalex.org/W2369203135","https://openalex.org/W1548128344"],"abstract_inverted_index":{"We":[0],"establish":[1],"characterization":[2],"and":[3],"representation":[4],"for":[5],"the":[6,17,21],"Drazin":[7],"inverse":[8],"of":[9],"an":[10],"arbitrary":[11],"square":[12],"matrix":[13,22],"which":[14],"reduce":[15],"to":[16],"well-known":[18],"result":[19],"if":[20],"is":[23],"nonsingular.MSC":[24],"codes15A0965F20KeywordsDrazin":[25],"inverseindexrankrestriction":[26]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
