{"id":"https://openalex.org/W2608317110","doi":null,"title":"Further contributions to the theory of generalized inverse of matrices and its applications","display_name":"Further contributions to the theory of generalized inverse of matrices and its applications","publication_year":1971,"publication_date":"1971-09-01","ids":{"openalex":"https://openalex.org/W2608317110","mag":"2608317110"},"language":"en","primary_location":{"id":"mag:2608317110","doi":null,"is_oa":false,"landing_page_url":"http://repository.ias.ac.in/96504/","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"volume":null,"type":"article","indexed_in":[],"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":"C. Mallikarjuna Rao","orcid":"https://orcid.org/0000-0003-3744-8135","observed_orcids":["https://orcid.org/0000-0003-3744-8135"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"C. Mallikarjuna Rao","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-3744-8135","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5040831028","display_name":"Sujit Kumar Mitra","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sujit Kumar Mitra","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.0634,"has_fulltext":false,"cited_by_count":76,"citation_normalized_percentile":{"value":0.96282974,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"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":0.9922000169754028,"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":0.9922000169754028,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.0044999998062849045,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied 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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.0010999999940395355,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/generalized-inverses","display_name":"generalized inverses","score":0.8870000243186951},{"id":"https://openalex.org/keywords/seminorms","display_name":"seminorms","score":0.9610000252723694},{"id":"https://openalex.org/keywords/partial-isometries","display_name":"partial isometries","score":0.9470000267028809},{"id":"https://openalex.org/keywords/linear-estimation","display_name":"linear estimation","score":0.9860000014305115}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8128201961517334},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.693695068359375},{"id":"https://openalex.org/C76134657","wikidata":"https://www.wikidata.org/wiki/Q370634","display_name":"Generalized inverse","level":3,"score":0.6490107178688049},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5601821541786194},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5308545231819153},{"id":"https://openalex.org/C21556879","wikidata":"https://www.wikidata.org/wiki/Q43219517","display_name":"Moore\u2013Penrose pseudoinverse","level":3,"score":0.5261161923408508},{"id":"https://openalex.org/C140528856","wikidata":"https://www.wikidata.org/wiki/Q191884","display_name":"Inverse function","level":3,"score":0.5073482394218445},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.45273512601852417},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40392571687698364},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.35157930850982666},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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":"mag:2608317110","doi":null,"is_oa":false,"landing_page_url":"http://repository.ias.ac.in/96504/","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.4300000071525574,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2147243899","https://openalex.org/W2620920936","https://openalex.org/W1984269500","https://openalex.org/W2080809733","https://openalex.org/W2079574438","https://openalex.org/W2111072639","https://openalex.org/W2088083065","https://openalex.org/W2038719834","https://openalex.org/W2007830815","https://openalex.org/W161976952","https://openalex.org/W981460368","https://openalex.org/W2033935789","https://openalex.org/W2403035479","https://openalex.org/W961140972","https://openalex.org/W2160487236","https://openalex.org/W2077609945","https://openalex.org/W2068033896","https://openalex.org/W1974511160","https://openalex.org/W1969043006","https://openalex.org/W1485741443"],"abstract_inverted_index":{"This":[0],"is":[1,73,90,118],"a":[2,71,87,97,103,124],"sequel":[3],"to":[4,55,102],"an":[5],"earlier":[6],"paper":[7,50],"by":[8,76],"the":[9,12,17,22,25,37,42,49,82,121],"authors":[10,26],"on":[11],"same":[13],"subject":[14],"presented":[15,119],"at":[16],"Sixth":[18],"Berkeley":[19],"Symposium.":[20],"\r\nIn":[21],"previous":[23],"paper,":[24],"have":[27],"discussed":[28,95],"there":[29],"basic":[30],"types":[31],"of":[32,64,79,84,115],"g-inverses-the":[33],"minimum":[34,43,125],"norm":[35,44,127],"g-inverse,":[36],"least":[38,45],"squares":[39],"g-inverse":[40],"and":[41],"\r\nsquares":[46],"g-inverse.":[47],"In":[48],"these":[51],"concepts":[52],"are":[53,94],"extended":[54],"more":[56],"general":[57,98],"situations":[58],"involving":[59],"semi":[60,126],"norms":[61,65],"in":[62,96],"place":[63],"used":[66],"earlier.":[67],"\r\nIt":[68],"shown":[69],"that":[70],"matrix":[72],"uniquely":[74],"determined":[75],"its":[77],"class":[78],"g-inverses.":[80],"Further":[81],"subclass":[83],"g-inverses":[85],"with":[86,100,108],"specified":[88],"rank":[89],"characterized.":[91],"Partial":[92],"isometrics":[93],"set-up":[99],"\r\nreference":[101],"pair":[104],"linear":[105,116],"spaces":[106],"furnished":[107],"arbitrary":[109],"quadratic":[110],"norms.":[111],"\r\nA":[112],"unified":[113],"theory":[114],"estimation":[117],"using":[120],"expression":[122],"for":[123],"inverse.":[128]},"counts_by_year":[{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":7},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-10-08T09:06:37.294493","created_date":"2025-10-10T00:00:00"}
