{"id":"https://openalex.org/W2168114494","doi":"https://doi.org/10.3233/jcm-2012-00448","title":"On diagonal N-representablity problem II: Sufficient conditions","display_name":"On diagonal N-representablity problem II: Sufficient conditions","publication_year":2013,"publication_date":"2013-05-13","ids":{"openalex":"https://openalex.org/W2168114494","doi":"https://doi.org/10.3233/jcm-2012-00448","mag":"2168114494"},"language":"en","primary_location":{"id":"doi:10.3233/jcm-2012-00448","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jcm-2012-00448","pdf_url":null,"source":{"id":"https://openalex.org/S2765058733","display_name":"Journal of Computational Methods in Sciences and Engineering","issn_l":"1472-7978","issn":["1472-7978","1875-8983"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Methods in Sciences and Engineering","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/A5041935556","display_name":"M. M. Mestechkin","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M.M. Mestechkin","raw_affiliation_strings":["12772 Seabreeze Farms Dr. Apartment 33, San Diego, CA 92130, USA. E-mail: mestechkinmm@gmail.com"],"affiliations":[{"raw_affiliation_string":"12772 Seabreeze Farms Dr. Apartment 33, San Diego, CA 92130, USA. E-mail: mestechkinmm@gmail.com","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041935556"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.16286169,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"13","issue":"3-4","first_page":"395","last_page":"416"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10299","display_name":"Photonic and Optical Devices","score":0.9528999924659729,"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/T10299","display_name":"Photonic and Optical Devices","score":0.9528999924659729,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9472000002861023,"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/T11429","display_name":"Semiconductor Lasers and Optical Devices","score":0.9326000213623047,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.7729406356811523},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.487762987613678},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1785687804222107}],"concepts":[{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.7729406356811523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.487762987613678},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1785687804222107}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jcm-2012-00448","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jcm-2012-00448","pdf_url":null,"source":{"id":"https://openalex.org/S2765058733","display_name":"Journal of Computational Methods in Sciences and Engineering","issn_l":"1472-7978","issn":["1472-7978","1875-8983"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Methods in Sciences and Engineering","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":2,"referenced_works":["https://openalex.org/W572922989","https://openalex.org/W1992035209"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"A":[0],"set":[1],"of":[2,12,20,30,37],"transformational":[3],"matrices":[4],"(TM)":[5],"is":[6],"introduced":[7],"which":[8],"convert":[9],"the":[10,17,28,34],"weights":[11],"a":[13],"mixed":[14],"state":[15],"into":[16],"diagonal":[18],"elements":[19],"reduced":[21],"density":[22],"matrix":[23],"(RDM).":[24],"The":[25],"formulae":[26],"for":[27],"products":[29],"TM":[31,38],"are":[32,39],"deduced;":[33],"singular":[35],"values":[36],"calculated":[40],"and":[41]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-22T06:01:30.510260","created_date":"2025-10-10T00:00:00"}
