{"id":"https://openalex.org/W2052469740","doi":"https://doi.org/10.1007/pl00008266","title":"Distributed Matrix-Free Solution of Large Sparse Linear Systems over Finite Fields","display_name":"Distributed Matrix-Free Solution of Large Sparse Linear Systems over Finite Fields","publication_year":1999,"publication_date":"1999-07-01","ids":{"openalex":"https://openalex.org/W2052469740","doi":"https://doi.org/10.1007/pl00008266","mag":"2052469740"},"language":"en","primary_location":{"id":"doi:10.1007/pl00008266","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00008266","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","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/A5056874049","display_name":"Erich Kaltofen","orcid":"https://orcid.org/0000-0003-2739-3230"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E. Kaltofen","raw_affiliation_strings":["Department of Mathematics,  North Carolina State University,  Raleigh, NC 27695-8205, USA. kaltofen@math.ncsu.edu., , , , , , US","Department of Mathematics,  North Carolina State University,  Raleigh, NC 27695-8205, USA. kaltofen@math.ncsu.edu., , US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics,  North Carolina State University,  Raleigh, NC 27695-8205, USA. kaltofen@math.ncsu.edu., , , , , , US","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"Department of Mathematics,  North Carolina State University,  Raleigh, NC 27695-8205, USA. kaltofen@math.ncsu.edu., , US","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041686906","display_name":"Austin Lobo","orcid":null},"institutions":[{"id":"https://openalex.org/I24796534","display_name":"Washington College","ror":"https://ror.org/02vk0qj37","country_code":"US","type":"education","lineage":["https://openalex.org/I24796534"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Lobo","raw_affiliation_strings":["Department of Mathematics and Computer Science, Washington College, Chestertown, MD 21620-1197, USA. Austin.Lobo@washcoll.edu., , , , , , US","Department of Mathematics and Computer Science, Washington College, Chestertown, MD 21620-1197, USA. Austin.Lobo@washcoll.edu., , US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Washington College, Chestertown, MD 21620-1197, USA. Austin.Lobo@washcoll.edu., , , , , , US","institution_ids":["https://openalex.org/I24796534"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Washington College, Chestertown, MD 21620-1197, USA. Austin.Lobo@washcoll.edu., , US","institution_ids":["https://openalex.org/I24796534"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.545,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.82850993,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"24","issue":"3-4","first_page":"331","last_page":"348"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9968000054359436,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7146480679512024},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.657194972038269},{"id":"https://openalex.org/keywords/multiprocessing","display_name":"Multiprocessing","score":0.5506493449211121},{"id":"https://openalex.org/keywords/unix","display_name":"Unix","score":0.5127061605453491},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4842659831047058},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.433030366897583},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4154247045516968},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3120828866958618},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2437283992767334},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.13087397813796997},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.12704923748970032}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7146480679512024},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.657194972038269},{"id":"https://openalex.org/C4822641","wikidata":"https://www.wikidata.org/wiki/Q846651","display_name":"Multiprocessing","level":2,"score":0.5506493449211121},{"id":"https://openalex.org/C112968700","wikidata":"https://www.wikidata.org/wiki/Q11368","display_name":"Unix","level":3,"score":0.5127061605453491},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4842659831047058},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.433030366897583},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4154247045516968},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3120828866958618},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2437283992767334},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.13087397813796997},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.12704923748970032},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/pl00008266","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00008266","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.17.7470","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.17.7470","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.ncsu.edu/%7Ekaltofen/bibliography/96/KaLo96:hpc.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.42.436","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.42.436","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.ncsu.edu/%7Ekaltofen/bibliography/99/KaLo99.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1502078890","https://openalex.org/W1528659953","https://openalex.org/W1560262363","https://openalex.org/W1588415484","https://openalex.org/W1594652978","https://openalex.org/W1993840452","https://openalex.org/W1996360405","https://openalex.org/W2000520486","https://openalex.org/W2010961009","https://openalex.org/W2018818965","https://openalex.org/W2041165203","https://openalex.org/W2050904131","https://openalex.org/W2053148809","https://openalex.org/W2059454546","https://openalex.org/W2071483197","https://openalex.org/W2085849252","https://openalex.org/W2162442687","https://openalex.org/W2179913373","https://openalex.org/W2489828579"],"related_works":["https://openalex.org/W1980880150","https://openalex.org/W2097444158","https://openalex.org/W325986762","https://openalex.org/W2092845486","https://openalex.org/W1809394610","https://openalex.org/W2123607806","https://openalex.org/W2159088946","https://openalex.org/W2509294597","https://openalex.org/W2148915962","https://openalex.org/W4237297230"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}