{"id":"https://openalex.org/W2904551926","doi":"https://doi.org/10.1007/s40314-020-01328-y","title":"Weighted Moore\u2013Penrose inverses of arbitrary-order tensors","display_name":"Weighted Moore\u2013Penrose inverses of arbitrary-order tensors","publication_year":2020,"publication_date":"2020-10-06","ids":{"openalex":"https://openalex.org/W2904551926","doi":"https://doi.org/10.1007/s40314-020-01328-y","mag":"2904551926"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-020-01328-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01328-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1812.03052","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Ratikanta Behera","orcid":"https://orcid.org/0000-0002-6237-5700"},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]},{"id":"https://openalex.org/I127439422","display_name":"Indian Institute of Science Education and Research Kolkata","ror":"https://ror.org/00djv2c17","country_code":"IN","type":"education","lineage":["https://openalex.org/I127439422"]}],"countries":["IN","US"],"is_corresponding":true,"raw_author_name":"Ratikanta Behera","raw_affiliation_strings":["Department of Mathematics and Statistics, Indian Institute of Science Education and Research Kolkata, Mohanpur, Nadia, West Bengal, India","Department of Mathematics, University of Central Florida, Orlando, FL, 32816, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Indian Institute of Science Education and Research Kolkata, Mohanpur, Nadia, West Bengal, India","institution_ids":["https://openalex.org/I127439422"]},{"raw_affiliation_string":"Department of Mathematics, University of Central Florida, Orlando, FL, 32816, USA","institution_ids":["https://openalex.org/I106165777"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Sandip Maji","orcid":null},"institutions":[{"id":"https://openalex.org/I127439422","display_name":"Indian Institute of Science Education and Research Kolkata","ror":"https://ror.org/00djv2c17","country_code":"IN","type":"education","lineage":["https://openalex.org/I127439422"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sandip Maji","raw_affiliation_strings":["Department of Mathematics and Statistics, Indian Institute of Science Education and Research Kolkata, Mohanpur, Nadia, West Bengal, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Indian Institute of Science Education and Research Kolkata, Mohanpur, Nadia, West Bengal, India","institution_ids":["https://openalex.org/I127439422"]}]},{"author_position":"last","author":{"id":null,"display_name":"R. N. Mohapatra","orcid":null},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. N. Mohapatra","raw_affiliation_strings":["Department of Mathematics, University of Central Florida, Orlando, FL, 32816, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Central Florida, Orlando, FL, 32816, USA","institution_ids":["https://openalex.org/I106165777"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I106165777","https://openalex.org/I127439422"],"apc_list":null,"apc_paid":null,"fwci":0.7056,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.61528977,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"39","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.977400004863739,"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"}},"topics":[{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.977400004863739,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.01119999960064888,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.003000000026077032,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multilinear-map","display_name":"Multilinear map","score":0.855400025844574},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.6347000002861023},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6330999732017517},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5443000197410583},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.5288000106811523},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5026999711990356},{"id":"https://openalex.org/keywords/einstein","display_name":"Einstein","score":0.4778999984264374},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.47029998898506165}],"concepts":[{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.855400025844574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7422999739646912},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.6347000002861023},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6330999732017517},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5443000197410583},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.5288000106811523},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5080999732017517},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5026999711990356},{"id":"https://openalex.org/C146846114","wikidata":"https://www.wikidata.org/wiki/Q901448","display_name":"Einstein","level":2,"score":0.4778999984264374},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.47029998898506165},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4571000039577484},{"id":"https://openalex.org/C76134657","wikidata":"https://www.wikidata.org/wiki/Q370634","display_name":"Generalized inverse","level":3,"score":0.4262999892234802},{"id":"https://openalex.org/C158158286","wikidata":"https://www.wikidata.org/wiki/Q9009080","display_name":"Invariants of tensors","level":3,"score":0.40389999747276306},{"id":"https://openalex.org/C60321788","wikidata":"https://www.wikidata.org/wiki/Q1197190","display_name":"Multilinear algebra","level":5,"score":0.38769999146461487},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.3479999899864197},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.3379000127315521},{"id":"https://openalex.org/C21556879","wikidata":"https://www.wikidata.org/wiki/Q43219517","display_name":"Moore\u2013Penrose pseudoinverse","level":3,"score":0.30379998683929443},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3010999858379364},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30059999227523804},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.28540000319480896}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40314-020-01328-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01328-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1812.03052","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.03052","pdf_url":"https://arxiv.org/pdf/1812.03052","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1812.03052","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.03052","pdf_url":"https://arxiv.org/pdf/1812.03052","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[],"awards":[{"id":"https://openalex.org/G522547699","display_name":null,"funder_award_id":"EEQ/2017/000747","funder_id":"https://openalex.org/F4320334771","funder_display_name":"Science and Engineering Research Board"}],"funders":[{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1748292209","https://openalex.org/W1978376511","https://openalex.org/W1982619652","https://openalex.org/W1983623418","https://openalex.org/W1992426838","https://openalex.org/W2000015923","https://openalex.org/W2003493253","https://openalex.org/W2006808740","https://openalex.org/W2013912476","https://openalex.org/W2024165284","https://openalex.org/W2037271374","https://openalex.org/W2039397561","https://openalex.org/W2043571470","https://openalex.org/W2048636460","https://openalex.org/W2053693274","https://openalex.org/W2057498274","https://openalex.org/W2057503509","https://openalex.org/W2073469810","https://openalex.org/W2076214866","https://openalex.org/W2090208105","https://openalex.org/W2093245688","https://openalex.org/W2118400858","https://openalex.org/W2132267493","https://openalex.org/W2222111999","https://openalex.org/W2258054274","https://openalex.org/W2336421966","https://openalex.org/W2469230926","https://openalex.org/W2588652550","https://openalex.org/W2611015177","https://openalex.org/W2620711424","https://openalex.org/W2750491149","https://openalex.org/W2767666094","https://openalex.org/W2791277170","https://openalex.org/W2794305828","https://openalex.org/W2852445398","https://openalex.org/W2892110581","https://openalex.org/W2902290547","https://openalex.org/W2942234406","https://openalex.org/W2945649375","https://openalex.org/W2946635824","https://openalex.org/W2949329816","https://openalex.org/W2964136988","https://openalex.org/W3001866216","https://openalex.org/W3014473944","https://openalex.org/W3015091794","https://openalex.org/W3037693103"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2018-12-22T00:00:00"}