{"id":"https://openalex.org/W2791743570","doi":"https://doi.org/10.1504/ijcse.2018.10011516","title":"A cost effective graph-based partitioning algorithm for a system of linear equations","display_name":"A cost effective graph-based partitioning algorithm for a system of linear equations","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2791743570","doi":"https://doi.org/10.1504/ijcse.2018.10011516","mag":"2791743570"},"language":"en","primary_location":{"id":"doi:10.1504/ijcse.2018.10011516","is_oa":false,"landing_page_url":"https://doi.org/10.1504/ijcse.2018.10011516","pdf_url":null,"source":{"id":"https://openalex.org/S65043351","display_name":"International Journal of Computational Science and Engineering","issn_l":"1742-7185","issn":["1742-7185","1742-7193"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310317825","host_organization_name":"Inderscience Publishers","host_organization_lineage":["https://openalex.org/P4310317825"],"host_organization_lineage_names":["Inderscience Publishers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Science and Engineering","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/A5053041377","display_name":"Satoshi Nishimura","orcid":"https://orcid.org/0000-0002-7934-8186"},"institutions":[{"id":"https://openalex.org/I141591182","display_name":"University of Aizu","ror":"https://ror.org/02pg0e883","country_code":"JP","type":"education","lineage":["https://openalex.org/I141591182"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Satoshi Nishimura","raw_affiliation_strings":["Database Systems Laboratory, The University of Aizu, Fukushima, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Database Systems Laboratory, The University of Aizu, Fukushima, Japan","institution_ids":["https://openalex.org/I141591182"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078833433","display_name":"Hiroaki Yui","orcid":null},"institutions":[{"id":"https://openalex.org/I141591182","display_name":"University of Aizu","ror":"https://ror.org/02pg0e883","country_code":"JP","type":"education","lineage":["https://openalex.org/I141591182"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroaki Yui","raw_affiliation_strings":["Computer Arts Laboratory, The University of Aizu, Fukushima, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Arts Laboratory, The University of Aizu, Fukushima, Japan","institution_ids":["https://openalex.org/I141591182"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.021539,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":"2","first_page":"181","last_page":"181"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9934999942779541,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.56492680311203},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5087717175483704},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4534660577774048},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4478036165237427},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4194853901863098},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39517998695373535},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.27583038806915283}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.56492680311203},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5087717175483704},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4534660577774048},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4478036165237427},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4194853901863098},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39517998695373535},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.27583038806915283},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1504/ijcse.2018.10011516","is_oa":false,"landing_page_url":"https://doi.org/10.1504/ijcse.2018.10011516","pdf_url":null,"source":{"id":"https://openalex.org/S65043351","display_name":"International Journal of Computational Science and Engineering","issn_l":"1742-7185","issn":["1742-7185","1742-7193"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310317825","host_organization_name":"Inderscience Publishers","host_organization_lineage":["https://openalex.org/P4310317825"],"host_organization_lineage_names":["Inderscience Publishers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Science and Engineering","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":0,"referenced_works":[],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"There":[0],"are":[1],"many":[2],"techniques":[3],"for":[4,53],"reducing":[5],"the":[6,29,54,81,86],"number":[7],"of":[8,15,38,57],"operations":[9],"in":[10,73],"directly":[11],"solving":[12,82],"a":[13,36,50,63],"system":[14,37],"sparse":[16],"linear":[17,39,75],"equations.":[18],"One":[19],"such":[20,58],"method":[21],"is":[22],"nested":[23],"dissection":[24],"(ND).":[25],"In":[26,45],"numerical":[27],"analysis,":[28],"ND":[30],"algorithm":[31,52,71,88],"heuristically":[32],"divides":[33],"and":[34,79],"conquers":[35],"equations,":[40],"based":[41],"on":[42],"graph":[43,59,64],"partitioning.":[44],"this":[46],"article,":[47],"we":[48],"present":[49],"new":[51],"first":[55],"level":[56],"partitioning,":[60],"which":[61],"splits":[62],"into":[65],"two":[66],"roughly":[67],"equalised":[68],"subgraphs.":[69],"The":[70],"runs":[72],"almost":[74],"time.":[76],"We":[77],"evaluate":[78],"discuss":[80],"costs":[83],"by":[84],"applying":[85],"proposed":[87],"to":[89],"various":[90],"matrices.":[91]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}