{"id":"https://openalex.org/W3185605762","doi":"https://doi.org/10.1109/tcsii.2021.3100761","title":"Reciprocity and Antireciprocity Criteria by Elementary Matrix Techniques","display_name":"Reciprocity and Antireciprocity Criteria by Elementary Matrix Techniques","publication_year":2021,"publication_date":"2021-07-28","ids":{"openalex":"https://openalex.org/W3185605762","doi":"https://doi.org/10.1109/tcsii.2021.3100761","mag":"3185605762"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2021.3100761","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2021.3100761","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","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":"https://openalex.org/A5076604798","display_name":"A.M. Sommariva","orcid":"https://orcid.org/0000-0001-7513-6787"},"institutions":[{"id":"https://openalex.org/I79940851","display_name":"University of Brescia","ror":"https://ror.org/02q2d2610","country_code":"IT","type":"education","lineage":["https://openalex.org/I79940851"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Antonino M. Sommariva","raw_affiliation_strings":["Department of Information Engineering, University of Brescia, Brescia, Italy"],"raw_orcid":"https://orcid.org/0000-0001-7513-6787","affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Brescia, Brescia, Italy","institution_ids":["https://openalex.org/I79940851"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076604798"],"corresponding_institution_ids":["https://openalex.org/I79940851"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":0.2425,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.49109285,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"69","issue":"2","first_page":"294","last_page":"298"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10913","display_name":"Molecular Junctions and Nanostructures","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10913","display_name":"Molecular Junctions and Nanostructures","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10382","display_name":"Quantum and electron transport phenomena","score":0.9914000034332275,"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"}},{"id":"https://openalex.org/T10083","display_name":"Graphene research and applications","score":0.9829999804496765,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"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/reciprocity","display_name":"Reciprocity (cultural anthropology)","score":0.8209985494613647},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.6966230273246765},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6247072219848633},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5361397862434387},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5143274068832397},{"id":"https://openalex.org/keywords/elementary-function","display_name":"Elementary function","score":0.49367865920066833},{"id":"https://openalex.org/keywords/matrix-representation","display_name":"Matrix representation","score":0.49230659008026123},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.490043044090271},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4868983328342438},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.46403029561042786},{"id":"https://openalex.org/keywords/elementary-algebra","display_name":"Elementary algebra","score":0.41420820355415344},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3952121436595917},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38478797674179077},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37821730971336365},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1317439079284668},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.107776939868927},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.08778643608093262},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08380421996116638},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.07906335592269897}],"concepts":[{"id":"https://openalex.org/C169903001","wikidata":"https://www.wikidata.org/wiki/Q3264987","display_name":"Reciprocity (cultural anthropology)","level":2,"score":0.8209985494613647},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.6966230273246765},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6247072219848633},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5361397862434387},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5143274068832397},{"id":"https://openalex.org/C182408441","wikidata":"https://www.wikidata.org/wiki/Q824282","display_name":"Elementary function","level":2,"score":0.49367865920066833},{"id":"https://openalex.org/C103275481","wikidata":"https://www.wikidata.org/wiki/Q6787889","display_name":"Matrix representation","level":3,"score":0.49230659008026123},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.490043044090271},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4868983328342438},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.46403029561042786},{"id":"https://openalex.org/C92087941","wikidata":"https://www.wikidata.org/wiki/Q211294","display_name":"Elementary algebra","level":3,"score":0.41420820355415344},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3952121436595917},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38478797674179077},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37821730971336365},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1317439079284668},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.107776939868927},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.08778643608093262},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08380421996116638},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.07906335592269897},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcsii.2021.3100761","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2021.3100761","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","raw_type":"journal-article"},{"id":"pmh:oai:iris.unibs.it:11379/571665","is_oa":false,"landing_page_url":"https://hdl.handle.net/11379/571665","pdf_url":null,"source":{"id":"https://openalex.org/S4306400804","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Brescia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1500081329","https://openalex.org/W2150588611","https://openalex.org/W2154234705","https://openalex.org/W2164221431","https://openalex.org/W2593999828"],"related_works":["https://openalex.org/W1983155588","https://openalex.org/W4285303061","https://openalex.org/W4323651055","https://openalex.org/W2479383195","https://openalex.org/W1978400480","https://openalex.org/W3006344624","https://openalex.org/W1561856806","https://openalex.org/W125715009","https://openalex.org/W1546485346","https://openalex.org/W2045748432"],"abstract_inverted_index":{"Reciprocity":[0],"and":[1,19,28],"antireciprocity":[2],"criteria":[3],"for":[4,23,33],"controlled":[5],"affine":[6],"resistive":[7],"components":[8],"are":[9,37,57],"derived":[10],"by":[11,40],"elementary":[12],"matrix":[13],"techniques":[14],"that":[15],"make":[16],"calculations":[17],"compact":[18],"straightforward.":[20],"First,":[21],"formulae":[22,32],"the":[24,34,52,55],"standard":[25],"(homogeneous,":[26],"hybrid,":[27],"transmission)":[29],"representations,":[30],"then,":[31],"general":[35,49],"representation":[36],"provided.":[38],"Finally,":[39],"resorting":[41],"to":[42],"some":[43],"kind":[44],"of":[45,51,62],"canonic":[46],"form,":[47],"three":[48],"results":[50],"literature":[53],"on":[54],"subject":[56],"proven":[58],"through":[59],"basic":[60],"arguments":[61],"linear":[63],"algebra.":[64]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2021-08-02T00:00:00"}
