{"id":"https://openalex.org/W1967529415","doi":"https://doi.org/10.1016/0167-8191(90)90073-i","title":"A tridiagonal solver for massively parallel computer systems","display_name":"A tridiagonal solver for massively parallel computer systems","publication_year":1990,"publication_date":"1990-12-01","ids":{"openalex":"https://openalex.org/W1967529415","doi":"https://doi.org/10.1016/0167-8191(90)90073-i","mag":"1967529415"},"language":"en","primary_location":{"id":"doi:10.1016/0167-8191(90)90073-i","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-8191(90)90073-i","pdf_url":null,"source":{"id":"https://openalex.org/S112708030","display_name":"Parallel Computing","issn_l":"0167-8191","issn":["0167-8191","1872-7336"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Computing","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/A5012131125","display_name":"F. Reale","orcid":"https://orcid.org/0000-0002-1820-4824"},"institutions":[{"id":"https://openalex.org/I4210128006","display_name":"Osservatorio Astronomico di Palermo","ror":"https://ror.org/02txwfx92","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210128006","https://openalex.org/I875825670"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Fabio Reale","raw_affiliation_strings":["Osservatorio Astronomico di Palermo, Palermo, Italy"],"affiliations":[{"raw_affiliation_string":"Osservatorio Astronomico di Palermo, Palermo, Italy","institution_ids":["https://openalex.org/I4210128006"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012131125"],"corresponding_institution_ids":["https://openalex.org/I4210128006"],"apc_list":{"value":2680,"currency":"USD","value_usd":2680},"apc_paid":null,"fwci":1.4833,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.79723935,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"16","issue":"2-3","first_page":"361","last_page":"368"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9911999702453613,"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":0.9911999702453613,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9865999817848206,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9624000191688538,"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":0.8775036334991455},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.7804845571517944},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7434903979301453},{"id":"https://openalex.org/keywords/massively-parallel","display_name":"Massively parallel","score":0.6571915149688721},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.646081268787384},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6136524081230164},{"id":"https://openalex.org/keywords/system-of-linear-equations","display_name":"System of linear equations","score":0.5436711311340332},{"id":"https://openalex.org/keywords/gaussian-elimination","display_name":"Gaussian elimination","score":0.5290127396583557},{"id":"https://openalex.org/keywords/tridiagonal-matrix-algorithm","display_name":"Tridiagonal matrix algorithm","score":0.5164087414741516},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4430640637874603},{"id":"https://openalex.org/keywords/vector-processor","display_name":"Vector processor","score":0.4157346189022064},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.4149516522884369},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.38963568210601807},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.2990352213382721},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2756982147693634},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17840993404388428}],"concepts":[{"id":"https://openalex.org/C51647924","wikidata":"https://www.wikidata.org/wiki/Q1755277","display_name":"Tridiagonal matrix","level":3,"score":0.8775036334991455},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.7804845571517944},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7434903979301453},{"id":"https://openalex.org/C190475519","wikidata":"https://www.wikidata.org/wiki/Q544384","display_name":"Massively parallel","level":2,"score":0.6571915149688721},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.646081268787384},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6136524081230164},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.5436711311340332},{"id":"https://openalex.org/C126312332","wikidata":"https://www.wikidata.org/wiki/Q2658","display_name":"Gaussian elimination","level":3,"score":0.5290127396583557},{"id":"https://openalex.org/C176603272","wikidata":"https://www.wikidata.org/wiki/Q1819156","display_name":"Tridiagonal matrix algorithm","level":4,"score":0.5164087414741516},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4430640637874603},{"id":"https://openalex.org/C161824985","wikidata":"https://www.wikidata.org/wiki/Q919509","display_name":"Vector processor","level":2,"score":0.4157346189022064},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.4149516522884369},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.38963568210601807},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.2990352213382721},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2756982147693634},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17840993404388428},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0167-8191(90)90073-i","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-8191(90)90073-i","pdf_url":null,"source":{"id":"https://openalex.org/S112708030","display_name":"Parallel Computing","issn_l":"0167-8191","issn":["0167-8191","1872-7336"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6800000071525574,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W63406520","https://openalex.org/W1559533846","https://openalex.org/W1978836334","https://openalex.org/W2004203600","https://openalex.org/W2055717497","https://openalex.org/W2315651828","https://openalex.org/W3003821699","https://openalex.org/W4205836845"],"related_works":["https://openalex.org/W2001381587","https://openalex.org/W2057923237","https://openalex.org/W2157863322","https://openalex.org/W2093747480","https://openalex.org/W1606194289","https://openalex.org/W63016970","https://openalex.org/W1966219902","https://openalex.org/W2070780746","https://openalex.org/W1982092007","https://openalex.org/W1797836249"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
