{"id":"https://openalex.org/W4391651156","doi":"https://doi.org/10.1137/23m1580310","title":"Efficient Vectors for Block Perturbed Consistent Matrices","display_name":"Efficient Vectors for Block Perturbed Consistent Matrices","publication_year":2024,"publication_date":"2024-02-08","ids":{"openalex":"https://openalex.org/W4391651156","doi":"https://doi.org/10.1137/23m1580310"},"language":"en","primary_location":{"id":"doi:10.1137/23m1580310","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1580310","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","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/A5088004797","display_name":"Susana Furtado","orcid":"https://orcid.org/0000-0003-0395-5972"},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Susana Furtado","raw_affiliation_strings":["Corresponding author. CEAFEL and Faculdade de Economia, Universidade do Porto, 4200-464 Porto, Portugal"],"raw_orcid":"https://orcid.org/0000-0003-0395-5972","affiliations":[{"raw_affiliation_string":"Corresponding author. CEAFEL and Faculdade de Economia, Universidade do Porto, 4200-464 Porto, Portugal","institution_ids":["https://openalex.org/I182534213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111066366","display_name":"Charles R. Johnson","orcid":"https://orcid.org/0000-0001-8707-8596"},"institutions":[{"id":"https://openalex.org/I16285277","display_name":"William & Mary","ror":"https://ror.org/03hsf0573","country_code":"US","type":"education","lineage":["https://openalex.org/I16285277"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Charles Johnson","raw_affiliation_strings":["Department of Mathematics, College of William and Mary, Williamsburg, VA 23187-8795 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of William and Mary, Williamsburg, VA 23187-8795 USA","institution_ids":["https://openalex.org/I16285277"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9877,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.85938867,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"45","issue":"1","first_page":"601","last_page":"618"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9764999747276306,"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/T11106","display_name":"Data Management and Algorithms","score":0.948199987411499,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/mathematics","display_name":"Mathematics","score":0.7888425588607788},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6186476945877075},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5951948165893555},{"id":"https://openalex.org/keywords/reciprocal","display_name":"Reciprocal","score":0.5617309212684631},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.45602625608444214},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.4558613896369934},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3711039423942566}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7888425588607788},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6186476945877075},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5951948165893555},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.5617309212684631},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.45602625608444214},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.4558613896369934},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3711039423942566},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23m1580310","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1580310","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G641792060","display_name":null,"funder_award_id":"DMS-0751964","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7910183168","display_name":"Center for Functional Analysis, Linear Structures and Applications","funder_award_id":"UIDB/04721/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W1968307125","https://openalex.org/W1977618871","https://openalex.org/W1998164572","https://openalex.org/W2005614587","https://openalex.org/W2016733102","https://openalex.org/W2020407132","https://openalex.org/W2021435041","https://openalex.org/W2037485150","https://openalex.org/W2057969005","https://openalex.org/W2159678270","https://openalex.org/W2196352571","https://openalex.org/W2255995813","https://openalex.org/W2561983617","https://openalex.org/W3101117982","https://openalex.org/W3186215453","https://openalex.org/W3194361536","https://openalex.org/W3204245809","https://openalex.org/W4229037319","https://openalex.org/W4387364501","https://openalex.org/W4390502551"],"related_works":["https://openalex.org/W2391753177","https://openalex.org/W2996284460","https://openalex.org/W4298337043","https://openalex.org/W1966306316","https://openalex.org/W2487162673","https://openalex.org/W4285058191","https://openalex.org/W2793211469","https://openalex.org/W2949152769","https://openalex.org/W2128971439","https://openalex.org/W2379697517"],"abstract_inverted_index":{".In":[0],"prioritization":[1],"schemes,":[2],"based":[3],"on":[4,63,114],"pairwise":[5],"comparisons,":[6],"such":[7,37,111,143],"as":[8],"the":[9,64,83,122,126,138,181,184],"analytical":[10],"hierarchy":[11],"process,":[12],"it":[13,86],"is":[14,27,33,74,87],"important":[15],"to":[16,29,35,47,145],"extract":[17],"a":[18,23,38,45,70,75,79,90,98,118,160,174],"cardinal":[19],"ranking":[20],"vector":[21,39],"from":[22,41,89],"reciprocal":[24,55,71],"matrix":[25,56,72,81,92],"that":[26,73,85],"unlikely":[28],"be":[30,146],"consistent.":[31],"It":[32],"natural":[34],"choose":[36],"only":[40,96],"efficient":[42,51,67,108,123,147,177],"ones.":[43],"Recently,":[44],"method":[46],"generate":[48],"inductively":[49],"all":[50,121],"vectors":[52,68,109,124],"for":[53,69,110,137,169],"any":[54],"has":[57],"been":[58],"discovered.":[59],"Here":[60],"we":[61,116,133,158,171],"focus":[62],"study":[65],"of":[66,78,107,120,142,163,176,183],"block":[76,128,165],"perturbation":[77],"consistent":[80,91,167],"in":[82,97,125,151],"sense":[84],"obtained":[88],"by":[93],"modifying":[94],"entries":[95],"proper":[99],"principal":[100],"submatrix.":[101],"We":[102],"determine":[103],"an":[104],"explicit":[105],"class":[106,175],"matrices.":[112],"Based":[113],"this,":[115],"give":[117,134],"description":[119],"3-by-3":[127],"perturbed":[129,166],"case.":[130],"In":[131],"addition,":[132],"sufficient":[135],"conditions":[136],"right":[139],"Perron":[140,185],"eigenvector":[141],"matrices":[144],"and":[148,179],"provide":[149],"examples":[150,188],"which":[152,170],"efficiency":[153,182],"does":[154],"not":[155],"occur.":[156],"Also,":[157],"consider":[159],"certain":[161],"type":[162],"constant":[164],"matrices,":[168],"may":[172],"construct":[173],"vectors,":[178],"demonstrate":[180],"eigenvector.":[186],"Appropriate":[187],"are":[189],"provided":[190],"throughout.Keywordsconsistent":[191],"matrixdecision":[192],"analysisefficient":[193],"vectorPerron":[194],"eigenvectorreciprocal":[195],"matrixstrongly":[196],"connected":[197],"digraphMSC":[198],"codes90B5091B0605C2015B4815A18":[199]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
