{"id":"https://openalex.org/W2097385991","doi":"https://doi.org/10.1080/00207169608804491","title":"Two parameter age (tage) method for the solution of a tradiagonal linear system of equations","display_name":"Two parameter age (tage) method for the solution of a tradiagonal linear system of equations","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W2097385991","doi":"https://doi.org/10.1080/00207169608804491","mag":"2097385991"},"language":"en","primary_location":{"id":"doi:10.1080/00207169608804491","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169608804491","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5010194521","display_name":"K. S. Sukon","orcid":null},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"K. S. Sukon","raw_affiliation_strings":["Parallel Algorithms Research Centre , Loughborough University of Technology , Loughborough, Leicestershire, Le11 3TU,  U.K"],"affiliations":[{"raw_affiliation_string":"Parallel Algorithms Research Centre , Loughborough University of Technology , Loughborough, Leicestershire, Le11 3TU,  U.K","institution_ids":["https://openalex.org/I143804889"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058624133","display_name":"David J. Evans","orcid":"https://orcid.org/0000-0001-6009-0333"},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"D. J. Evans","raw_affiliation_strings":["Parallel Algorithms Research Centre , Loughborough University of Technology , Loughborough, Leicestershire, Le11 3TU,  U.K"],"affiliations":[{"raw_affiliation_string":"Parallel Algorithms Research Centre , Loughborough University of Technology , Loughborough, Leicestershire, Le11 3TU,  U.K","institution_ids":["https://openalex.org/I143804889"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010194521"],"corresponding_institution_ids":["https://openalex.org/I143804889"],"apc_list":null,"apc_paid":null,"fwci":2.0234,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.87287572,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"60","issue":"3-4","first_page":"265","last_page":"278"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994000196456909,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9896000027656555,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.845039963722229},{"id":"https://openalex.org/keywords/coefficient-matrix","display_name":"Coefficient matrix","score":0.6827743053436279},{"id":"https://openalex.org/keywords/tridiagonal-matrix","display_name":"Tridiagonal matrix","score":0.659324586391449},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5794587135314941},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5480690598487854},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.518523097038269},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5146538019180298},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4945938289165497},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44723159074783325},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4223615527153015},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.41800397634506226},{"id":"https://openalex.org/keywords/system-of-linear-equations","display_name":"System of linear equations","score":0.4130743145942688},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4128142297267914},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2043575644493103},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.08310040831565857}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.845039963722229},{"id":"https://openalex.org/C60866291","wikidata":"https://www.wikidata.org/wiki/Q5140577","display_name":"Coefficient matrix","level":3,"score":0.6827743053436279},{"id":"https://openalex.org/C51647924","wikidata":"https://www.wikidata.org/wiki/Q1755277","display_name":"Tridiagonal matrix","level":3,"score":0.659324586391449},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5794587135314941},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5480690598487854},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.518523097038269},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5146538019180298},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4945938289165497},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44723159074783325},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4223615527153015},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.41800397634506226},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.4130743145942688},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4128142297267914},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2043575644493103},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.08310040831565857},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169608804491","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169608804491","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1495278797","https://openalex.org/W2077221255","https://openalex.org/W2111729051","https://openalex.org/W2317773555","https://openalex.org/W2569133694","https://openalex.org/W2588081979","https://openalex.org/W3035235874","https://openalex.org/W4232913110","https://openalex.org/W4299343067"],"related_works":["https://openalex.org/W2391857105","https://openalex.org/W2387549153","https://openalex.org/W2356346290","https://openalex.org/W2352051694","https://openalex.org/W3000091026","https://openalex.org/W2236654713","https://openalex.org/W2021940933","https://openalex.org/W2130795715","https://openalex.org/W2332399844","https://openalex.org/W2276668162"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"present":[4],"a":[5,30],"two":[6,44,85],"parameter":[7,45,49,86],"alternating":[8],"group":[9],"explicit":[10],"(AGE)":[11],"iterative":[12,75],"method(TAGE)":[13],"to":[14,79],"solve":[15,80],"the":[16,25,39,43,54,66],"tridiagonal":[17],"linear":[18],"system":[19],"Ay":[20],"=":[21],"k":[22],"derived":[23],"from":[24],"finite":[26],"difference":[27],"discretisation":[28],"of":[29,41],"2":[31],"point":[32],"boundary":[33],"value":[34],"problem.":[35],"The":[36,63,73,84],"proof":[37],"for":[38,65],"convergence":[40],"both":[42],"AGE":[46,50,74,87],"and":[47,59,92],"single":[48],"[2]":[51],"methods":[52,76],"when":[53],"coefficient":[55],"matrix":[56],"is":[57,61,70,89],"unsymmetric":[58],"real":[60],"presented.":[62],"case":[64],"best":[67],"acceleration":[68],"parameters":[69],"also":[71],"studied.":[72],"are":[77],"used":[78],"four":[81],"differential":[82],"equations.":[83],"method":[88],"explicit,":[90],"accurate":[91],"flexible.":[93]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}