{"id":"https://openalex.org/W950560918","doi":"https://doi.org/10.1016/j.proenv.2015.05.013","title":"Implementing Approximations to Extreme Eigenvalues and Eigenvalues of Irregular Surface Partitionings for Use in SAR and CAR Models","display_name":"Implementing Approximations to Extreme Eigenvalues and Eigenvalues of Irregular Surface Partitionings for Use in SAR and CAR Models","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W950560918","doi":"https://doi.org/10.1016/j.proenv.2015.05.013","mag":"950560918"},"language":"en","primary_location":{"id":"doi:10.1016/j.proenv.2015.05.013","doi":"https://doi.org/10.1016/j.proenv.2015.05.013","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.proenv.2015.05.013","pdf_url":"https://www.sciencedirect.com/science/article/pii/S1878029615001802/pdf","source":{"id":"https://openalex.org/S2764562786","display_name":"Procedia Environmental Sciences","issn_l":"1878-0296","issn":["1878-0296"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Procedia Environmental Sciences","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.sciencedirect.com/science/article/pii/S1878029615001802/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047557932","display_name":"Daniel A. Griffith","orcid":"https://orcid.org/0000-0001-5125-6450","observed_orcids":["https://orcid.org/0000-0001-5125-6450"]},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Griffith","raw_affiliation_strings":["University of Texas at Dallas, Richardson, Texas 75080, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Texas at Dallas, Richardson, Texas 75080, USA","institution_ids":["https://openalex.org/I162577319"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040968179","display_name":"Roger Bivand","orcid":"https://orcid.org/0000-0003-2392-6140","observed_orcids":["https://orcid.org/0000-0003-2392-6140"]},"institutions":[{"id":"https://openalex.org/I59411706","display_name":"Adam Mickiewicz University in Pozna\u0144","ror":"https://ror.org/04g6bbq64","country_code":"PL","type":"education","lineage":["https://openalex.org/I59411706"]},{"id":"https://openalex.org/I931913249","display_name":"Norwegian School of Economics","ror":"https://ror.org/04v53s997","country_code":"NO","type":"education","lineage":["https://openalex.org/I931913249"]}],"countries":["NO","PL"],"is_corresponding":true,"raw_author_name":"Roger Bivand","raw_affiliation_strings":["Adam Mickiewicz University, 61-680 Poznan, Poland","Norwegian School of Economics, 5045 Bergen, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Adam Mickiewicz University, 61-680 Poznan, Poland","institution_ids":["https://openalex.org/I59411706"]},{"raw_affiliation_string":"Norwegian School of Economics, 5045 Bergen, Norway","institution_ids":["https://openalex.org/I931913249"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066484698","display_name":"Yongwan Chun","orcid":"https://orcid.org/0000-0002-4957-1379","observed_orcids":["https://orcid.org/0000-0002-4957-1379"]},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yongwan Chun","raw_affiliation_strings":["University of Texas at Dallas, Richardson, Texas 75080, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Texas at Dallas, Richardson, Texas 75080, USA","institution_ids":["https://openalex.org/I162577319"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040968179"],"corresponding_institution_ids":["https://openalex.org/I59411706","https://openalex.org/I931913249"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.02961735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"26","issue":null,"first_page":"119","last_page":"122"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11911","display_name":"Spatial and Panel Data Analysis","score":0.9692000150680542,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11911","display_name":"Spatial and Panel Data Analysis","score":0.9692000150680542,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social 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"}},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.002400000113993883,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/extreme-eigenvalues","display_name":"extreme eigenvalues","score":0.7910000085830688},{"id":"https://openalex.org/keywords/eigenvalue-approximation","display_name":"eigenvalue approximation","score":0.875},{"id":"https://openalex.org/keywords/spatial-autoregressive-model","display_name":"spatial autoregressive model","score":0.6819999814033508},{"id":"https://openalex.org/keywords/spatial-covariance-models","display_name":"spatial covariance models","score":0.46000000834465027},{"id":"https://openalex.org/keywords/jacobian-matrix","display_name":"Jacobian matrix","score":0.5389999747276306}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8888905048370361},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.6415916681289673},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.634122371673584},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.5606600046157837},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4959910809993744},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3851329982280731},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37156054377555847},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18649855256080627},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1081375777721405},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0708751380443573},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.proenv.2015.05.013","doi":"https://doi.org/10.1016/j.proenv.2015.05.013","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.proenv.2015.05.013","pdf_url":"https://www.sciencedirect.com/science/article/pii/S1878029615001802/pdf","source":{"id":"https://openalex.org/S2764562786","display_name":"Procedia Environmental Sciences","issn_l":"1878-0296","issn":["1878-0296"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Procedia Environmental Sciences","raw_type":"journal-article"},{"id":"pmh:oai:brage.bibsys.no:11250/297961","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/11250/297961","pdf_url":null,"source":{"id":"https://openalex.org/S4306400255","display_name":"BIBSYS Brage (BIBSYS (Norway))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I173212132","host_organization_name":"Vilnius University","host_organization_lineage":["https://openalex.org/I173212132"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"120-123","raw_type":"Journal article"},{"id":"pmh:oai:openaccess.nhh.no:11250/297961","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/11250/297961","pdf_url":null,"source":{"id":"https://openalex.org/S7407064446","display_name":"NORA - Norwegian Open Research Archives","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"120-123","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1016/j.proenv.2015.05.013","doi":"https://doi.org/10.1016/j.proenv.2015.05.013","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.proenv.2015.05.013","pdf_url":"https://www.sciencedirect.com/science/article/pii/S1878029615001802/pdf","source":{"id":"https://openalex.org/S2764562786","display_name":"Procedia Environmental Sciences","issn_l":"1878-0296","issn":["1878-0296"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Procedia Environmental Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W950560918.pdf","grobid_xml":"https://content.openalex.org/works/W950560918.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1981145803","https://openalex.org/W2055873999","https://openalex.org/W2083087416","https://openalex.org/W2098990714","https://openalex.org/W2118266217","https://openalex.org/W2125387871","https://openalex.org/W2152381309","https://openalex.org/W3121675824","https://openalex.org/W3216490951"],"related_works":["https://openalex.org/W1691800994","https://openalex.org/W2107346252","https://openalex.org/W2118266217","https://openalex.org/W1566005926","https://openalex.org/W2499203836","https://openalex.org/W1968099699","https://openalex.org/W4400222379","https://openalex.org/W2603579482","https://openalex.org/W2963834663","https://openalex.org/W7096073479"],"abstract_inverted_index":{"Good":[0],"approximations":[1,20,73],"of":[2,21],"eigenvalues":[3,22,35,48,65],"exist":[4],"for":[5,23,69],"the":[6,33,56,60,78,82],"regular":[7],"square":[8],"and":[9],"hexagonal":[10],"tessellations.":[11,25],"To":[12],"complement":[13],"this":[14],"situation,":[15],"spatial":[16,43,83],"scientists":[17,44],"need":[18],"good":[19,72],"irregular":[24],"Starting":[26],"from":[27],"known":[28],"or":[29],"approximated":[30],"extreme":[31],"eigenvalues,":[32],"remaining":[34],"may":[36],"be":[37],"in":[38,47,59],"turn":[39],"approximated.":[40],"One":[41],"reason":[42],"are":[45,52,66,74],"interested":[46],"is":[49],"because":[50],"they":[51],"needed":[53,68,75],"to":[54,76],"calculate":[55],"Jacobian":[57],"term":[58],"autonormal":[61],"probability":[62],"model.":[63],"If":[64],"not":[67],"model":[70],"fitting,":[71],"give":[77],"interval":[79],"within":[80],"which":[81],"parameter":[84],"will":[85],"lie.":[86]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-09-26T08:19:03.415552","created_date":"2016-06-24T00:00:00"}
