{"id":"https://openalex.org/W2092496365","doi":"https://doi.org/10.1080/00207169708804581","title":"Strides reduction algorithms for block tridiagonal linear systems","display_name":"Strides reduction algorithms for block tridiagonal linear systems","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2092496365","doi":"https://doi.org/10.1080/00207169708804581","mag":"2092496365"},"language":"en","primary_location":{"id":"doi:10.1080/00207169708804581","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169708804581","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/A5024568720","display_name":"Muddun Bhuruth","orcid":"https://orcid.org/0000-0003-4233-9937"},"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":"M. Bhuruth","raw_affiliation_strings":["\n Parallel Algorithms Research Centre, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK","Parallel Algorithms Research Centre , Loughborough University , Loughborough, Leicestershire, LE11 3TU, UK"],"affiliations":[{"raw_affiliation_string":"\n Parallel Algorithms Research Centre, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK","institution_ids":["https://openalex.org/I143804889"]},{"raw_affiliation_string":"Parallel Algorithms Research Centre , Loughborough University , Loughborough, Leicestershire, LE11 3TU, UK","institution_ids":["https://openalex.org/I143804889"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100768979","display_name":"David J. Evans","orcid":"https://orcid.org/0000-0002-6290-2849"},"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":["\n Parallel Algorithms Research Centre, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK","Parallel Algorithms Research Centre , Loughborough University , Loughborough, Leicestershire, LE11 3TU, UK"],"affiliations":[{"raw_affiliation_string":"\n Parallel Algorithms Research Centre, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK","institution_ids":["https://openalex.org/I143804889"]},{"raw_affiliation_string":"Parallel Algorithms Research Centre , Loughborough University , Loughborough, Leicestershire, LE11 3TU, UK","institution_ids":["https://openalex.org/I143804889"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024568720"],"corresponding_institution_ids":["https://openalex.org/I143804889"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22232806,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"64","issue":"1-2","first_page":"165","last_page":"180"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991000294685364,"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":0.9991000294685364,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9771999716758728,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9412999749183655,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tridiagonal-matrix","display_name":"Tridiagonal matrix","score":0.911264181137085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7569978833198547},{"id":"https://openalex.org/keywords/tridiagonal-matrix-algorithm","display_name":"Tridiagonal matrix algorithm","score":0.7465430498123169},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6573915481567383},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6355710625648499},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.6248317956924438},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.47055816650390625},{"id":"https://openalex.org/keywords/decoupling","display_name":"Decoupling (probability)","score":0.4338167905807495},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4123362600803375},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19667848944664001},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08505243062973022},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06930288672447205}],"concepts":[{"id":"https://openalex.org/C51647924","wikidata":"https://www.wikidata.org/wiki/Q1755277","display_name":"Tridiagonal matrix","level":3,"score":0.911264181137085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7569978833198547},{"id":"https://openalex.org/C176603272","wikidata":"https://www.wikidata.org/wiki/Q1819156","display_name":"Tridiagonal matrix algorithm","level":4,"score":0.7465430498123169},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6573915481567383},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6355710625648499},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.6248317956924438},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.47055816650390625},{"id":"https://openalex.org/C205606062","wikidata":"https://www.wikidata.org/wiki/Q5249645","display_name":"Decoupling (probability)","level":2,"score":0.4338167905807495},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4123362600803375},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19667848944664001},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08505243062973022},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06930288672447205},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169708804581","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169708804581","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2006850990","https://openalex.org/W2026663650","https://openalex.org/W2040820841","https://openalex.org/W2052504770","https://openalex.org/W2058593570","https://openalex.org/W2058789217","https://openalex.org/W2118964994","https://openalex.org/W3214499564","https://openalex.org/W4251295191","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2157863322","https://openalex.org/W2360550119","https://openalex.org/W2001381587","https://openalex.org/W2057923237","https://openalex.org/W4212973497","https://openalex.org/W1980786482","https://openalex.org/W1606194289","https://openalex.org/W4289860553","https://openalex.org/W3477132","https://openalex.org/W2031726779"],"abstract_inverted_index":{"Abstract":[0],"A":[1,46],"new":[2],"formulation":[3],"of":[4,7,49,88,91,94,97,101,104],"the":[5,24,29,44,70],"Stride":[6,50],"3":[8],"reduction":[9,31,51,79],"algorithm":[10],"for":[11,22],"block":[12,53],"tridiagonal":[13,25],"systems":[14,26],"is":[15,41,59],"presented.":[16],"Partial":[17],"fractions":[18],"expansions":[19],"are":[20],"used":[21],"decoupling":[23],"occurring":[27],"during":[28],"forward":[30],"and":[32,52,69],"backward":[33],"substitution":[34],"processes.":[35],"As":[36],"a":[37,63],"result":[38],"enhanced":[39],"parallelism":[40],"obtained":[42],"in":[43],"algorithm.":[45],"hybrid":[47],"combination":[48],"alternating":[54,81],"group":[55,82],"explicit":[56,83],"method":[57],"(BLAGE)":[58],"shown":[60],"to":[61],"have":[62],"superior":[64],"convergence":[65],"rate":[66],"than":[67],"BLAGE":[68,73],"cyclically":[71],"reduced":[72],"system.":[74],"Keywords:":[75],"Block":[76],"cyclic":[77],"reductionstrides":[78],"algorithmsblock":[80],"methodC.R.Categories:":[84],"G":[85],"1.3G1.7":[86],"*Department":[87,93,100],"Mathematics,":[89,95,102],"University":[90,96,103],"Mauritius.":[92,98,105],"Notes":[99]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}