{"id":"https://openalex.org/W2794707197","doi":"https://doi.org/10.3233/978-1-61499-843-3-27","title":"Communication Avoiding Neumann Expansion Preconditioner for LOBPCG Method: Convergence Property of Exact Diagonalization Method for Hubbard Model","display_name":"Communication Avoiding Neumann Expansion Preconditioner for LOBPCG Method: Convergence Property of Exact Diagonalization Method for Hubbard Model","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2794707197","doi":"https://doi.org/10.3233/978-1-61499-843-3-27","mag":"2794707197"},"language":"en","primary_location":{"id":"doi:10.3233/978-1-61499-843-3-27","is_oa":false,"landing_page_url":"https://doi.org/10.3233/978-1-61499-843-3-27","pdf_url":null,"source":{"id":"https://openalex.org/S4210175178","display_name":"Advances in parallel computing","issn_l":"0927-5452","issn":["0927-5452","1879-808X"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Parallel Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5006749613","display_name":"Susumu Yamada","orcid":"https://orcid.org/0000-0003-0236-7124"},"institutions":[{"id":"https://openalex.org/I117197279","display_name":"Japan Atomic Energy Agency","ror":"https://ror.org/05nf86y53","country_code":"JP","type":"funder","lineage":["https://openalex.org/I117197279"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yamada Susumu","raw_affiliation_strings":["Japan Atomic Energy Agency, T\u014dkai Mura, Japan"],"affiliations":[{"raw_affiliation_string":"Japan Atomic Energy Agency, T\u014dkai Mura, Japan","institution_ids":["https://openalex.org/I117197279"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086152822","display_name":"Toshiyuki Imamura","orcid":"https://orcid.org/0000-0003-1601-9710"},"institutions":[{"id":"https://openalex.org/I20529979","display_name":"University of Electro-Communications","ror":"https://ror.org/02x73b849","country_code":"JP","type":"education","lineage":["https://openalex.org/I20529979"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Imamura Toshiyuki","raw_affiliation_strings":["University of Electro-Communications, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"University of Electro-Communications, Tokyo, Japan","institution_ids":["https://openalex.org/I20529979"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010173270","display_name":"Masahiko Machida","orcid":null},"institutions":[{"id":"https://openalex.org/I117197279","display_name":"Japan Atomic Energy Agency","ror":"https://ror.org/05nf86y53","country_code":"JP","type":"funder","lineage":["https://openalex.org/I117197279"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Machida Masahiko","raw_affiliation_strings":["Japan Atomic Energy Agency, T\u014dkai Mura, Japan"],"affiliations":[{"raw_affiliation_string":"Japan Atomic Energy Agency, T\u014dkai Mura, Japan","institution_ids":["https://openalex.org/I117197279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5006749613"],"corresponding_institution_ids":["https://openalex.org/I117197279"],"apc_list":null,"apc_paid":null,"fwci":0.448,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58819927,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"27","last_page":"36"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9939000010490417,"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":0.9939000010490417,"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/T10346","display_name":"Magnetic confinement fusion research","score":0.972599983215332,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.97079998254776,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.8669049739837646},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6218816041946411},{"id":"https://openalex.org/keywords/von-neumann-architecture","display_name":"Von Neumann architecture","score":0.6118148565292358},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5936906933784485},{"id":"https://openalex.org/keywords/neumann-series","display_name":"Neumann series","score":0.5615141987800598},{"id":"https://openalex.org/keywords/hubbard-model","display_name":"Hubbard model","score":0.5470744371414185},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5468995571136475},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5112481117248535},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3165425658226013},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2147427201271057},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1788875162601471},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.14990133047103882},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.08841007947921753},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06304121017456055},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.038176894187927246}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8669049739837646},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6218816041946411},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.6118148565292358},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5936906933784485},{"id":"https://openalex.org/C137343772","wikidata":"https://www.wikidata.org/wiki/Q584910","display_name":"Neumann series","level":2,"score":0.5615141987800598},{"id":"https://openalex.org/C106074065","wikidata":"https://www.wikidata.org/wiki/Q1571298","display_name":"Hubbard model","level":3,"score":0.5470744371414185},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5468995571136475},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5112481117248535},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3165425658226013},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2147427201271057},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1788875162601471},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.14990133047103882},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.08841007947921753},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06304121017456055},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.038176894187927246},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/978-1-61499-843-3-27","is_oa":false,"landing_page_url":"https://doi.org/10.3233/978-1-61499-843-3-27","pdf_url":null,"source":{"id":"https://openalex.org/S4210175178","display_name":"Advances in parallel computing","issn_l":"0927-5452","issn":["0927-5452","1879-808X"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Parallel Computing","raw_type":"book-chapter"},{"id":"mag:2794707197","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/conf/parco/parco2017.html#YamadaIM17","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Parallel Computing","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2098483065","https://openalex.org/W992959538","https://openalex.org/W1569709387","https://openalex.org/W2493263495","https://openalex.org/W1587032931","https://openalex.org/W1985709912","https://openalex.org/W2040629245","https://openalex.org/W1553615915","https://openalex.org/W2502615035","https://openalex.org/W4383340180"],"abstract_inverted_index":{"The":[0,13],"exact":[1],"diagonalization":[2],"is":[3,30],"the":[4,10,16,20,25,28,59,63,70,82,85,90,97,101,107,110,115,119,122],"most":[5],"accurate":[6],"approach":[7,14],"for":[8,69,118],"solving":[9],"Hubbard":[11,102],"model.":[12,26,103],"calculates":[15],"ground":[17],"state":[18],"of":[19,96,100],"Hamiltonian":[21,29,71,120],"derived":[22],"exactly":[23],"from":[24],"Since":[27],"a":[31,50],"large":[32],"sparse":[33],"symmetric":[34],"matrix,":[35],"we":[36,80],"usually":[37],"utilize":[38],"an":[39,54],"iteration":[40],"method.":[41],"It":[42],"has":[43],"been":[44],"reported":[45],"that":[46,106],"LOBPCG":[47],"method":[48],"with":[49,121],"shift-and-invert":[51],"preconditioner":[52,64,83,108],"using":[53,84],"approximate":[55],"eigenvalue":[56],"can":[57],"solve":[58],"problem":[60],"efficiently.":[61],"However,":[62],"does":[65],"not":[66],"take":[67],"effect":[68],"whose":[72],"off-diagonal":[73,124],"elements":[74],"are":[75],"predominant.":[76],"In":[77],"this":[78],"research,":[79],"apply":[81],"Neumann":[86],"expansion":[87],"and":[88,113],"propose":[89],"communication":[91],"avoiding":[92],"strategy":[93],"in":[94],"consideration":[95],"physical":[98],"property":[99,112],"We":[104],"show":[105],"improves":[109],"convergence":[111],"decreases":[114],"elapsed":[116],"time":[117],"predominant":[123],"elements.":[125]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2018-04-06T00:00:00"}
