{“id”:“https://openalex.org/W1986822694“,”doi“:”https://doi.org/10.1137/s10648275973273334“,”title“:”内存有限的不完整Cholesky因子分解“,”display_name“:”有限内存的不完整Chalesky因子分解”,“publication_year”:1999,“publiation_date”:“1999-01-01”,“ids”:{“openalex”:“https://openalex.org/W1986822694“,”doi“:”https://doi.org/10.1137/s10648275973273334“,”mag“:”1986822694“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1137/s10648275973273334“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S165512578“,”display_name“:”SIAM科学计算杂志“,”issn_l“:”1064-8275“,”isn“:[”1064-82“,”1095-7197“],”is_oa“:false,”is_in_doaj“:false,”host_organization“:”https://openalex.org/P4310320508“,”“host_organization_name”:“工业与应用数学学会”,“host_ordanization_lineage”:[“https://openalex.org/P4310320508“],”host_organization_lineage_names“:[”工业和应用数学学会“],“type”:“journal”},“license”:null,“licence_id”:null,“version”:nully,“is_accepted”:false,“is_published”:false},”type“:”article“,”type_crossref“:“jornal-article”,“indexed_in”:[”crossref“]any_repository_has_fulltext“:false},”作者身份“:[{”作者位置“:”第一个“,”作者“:{”id“:”https://openalex.org/A5068223640网址“,”display_name“:”Chih\u2010Jen Lin“,”orcid“:”https://orcid.org/0000-0003-4684-8747“},”机构“:[],”国家“:[[],”is_corresponding“:false,”raw_author_name“:”Chih-Jen Lin“,”raw_affiliation_strings“:[],“affiliations”:[]},{“author_position”:“last”,“author”:{“id”:“https://openalex.org/A5010592823“,”display_name“:”Jorge J.Mor\u00e9“,”orcid“:null},”institutions“:[],”countries“:[],”is_corresponding“:false,”raw_author_name“:”Jorge J.Mor \u00e 9“,“raw_affiliation_strings”:[]“afliations”:[]}],“countries_distiction_count”:0,“institutions_distinact_count“:0,”corresponding_author_ids“:[】,”correcponding_institution_id ds“:[],”apc_list“:null,”apc_payd“:null,”fwci“:6.595,”has_fulltext“:true,”fulltext_origin“:”ngrams“,”cited_by_count“:148,”cited_by_percentile_year“:{”min“:97,”max“:98},”biblio“:”volume“:“21”,“issue”:“1”,“first_page”:“24”,“last_page”:“45”},“is_retracted”:false,“is_paratext”:false,“primary_topic”:{“id”:“”https://openalex.org/T10963“,”display_name“:”数值优化技术“,”score“:0.9996,”subfield“:{”id“:”https://openalex.org/subfields/2612“,”display_name“:”数值分析“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},”主题“:[{”id“:”https://openalex.org/T10963“,”“display_name”:“数值优化技术”,“score”:0.9996,“subfield”:{“id”:“https://openalex.org/subfields/2612“,”display_name“:”数值分析“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T10792“,”“display_name”:“矩阵算法和迭代方法”,“score”:0.9992,“subfield”:{“id”:“https://openalex.org/subfields/1703“,”display_name“:”计算理论与数学“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T10545“,”“display_name”:“非线性算子迭代算法与优化”,“score”:0.9839,“subfield”:{“id”:“https://openalex.org/subfields/1703“,”display_name“:”计算理论与数学“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}}],”关键词“:[{”id“:”https://openalex.org/keywords/matrix-calculations网站“,”display_name“:”矩阵计算“,”score“:0.534662},{”id“:”https://openalex.org/keywords/非线性编程“,”display_name“:”非线性编程“,”score“:0.527725},{”id“:”https://openalex.org/keywords/optimization网站“,”display_name“:”Optimization“,”score“:0.520885},{”id“:”https://openalex.org/keywords/semidefinite-programing(https://openalex.org/keywords/semidefinite-programing)“,”display_name“:”半定规划“,”score“:0.517615},{”id“:”https://openalex.org/keywords/iterative-methods网站“,”display_name“:”迭代方法“,”score“:0.516935}],”concepts“:[{”id“:”https://openalex.org/C34727166,“wikidata”:https://www.wikidata.org/wiki/Q515375“,”“display_name”“:”Cholesky分解“,”级别“:3,”分数“:0.97908807},{”id“:”https://openalex.org/C44363057,“wikidata”:https://www.wikidata.org/wiki/Q6015160“,”“display_name”“:”不完全Cholesky因子分解“,”级别“:4,”分数“:0.9178581},{”id“:”https://openalex.org/C81184566,“wikidata”:https://www.wikidata.org/wiki/Q1191895“,”display_name“:”共轭梯度法“,”level“:2,”score“:0.7626779},{”id“:”https://openalex.org/C187834632,“wikidata”:https://www.wikidata.org/wiki/Q188804“,”display_name“:”因式分解“,”level“:2,”score“:0.6610495},{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.6600823},{”id“:”https://openalex.org/C46085209,“wikidata”:https://www.wikidata.org/wiki/Q17098969“,”display_name“:”最小次数算法“,”level“:5,”score“:0.61424625},{”id“:”https://openalex.org/C33676613,“wikidata”:https://www.wikidata.org/wiki/Q13415176“,”display_name“:”维度(图论)“,”级别“:2,”分数“:0.57163393},{”id“:”https://openalex.org/C134978465,“wikidata”:https://www.wikidata.org/wiki/Q1654069“,”display_name“:”不完整的LU因子分解“,”level“:4,”score“:0.53067714},{”id“:”https://openalex.org/C28826006,“wikidata”:https://www.wikidata.org/wiki/Q33521“,”display_name“:”应用数学“,”level“:1,”score“:0.50482565},{”id“:”https://openalex.org/C49712288,“wikidata”:https://www.wikidata.org/wiki/Q77601250“,”display_name“:”正定矩阵“,”level“:3,”score“:0.4650712},{”id“:”https://openalex.org/C91394653,“wikidata”:https://www.wikidata.org/wiki/Q5161159(网址:https://www.wikidata.org/wiki/Q5161159)“,”display_name“:”共轭残差法“,”level“:4,”score“:0.4646928},{”id“:”https://openalex.org/C2778755073,“wikidata”:https://www.wikidata.org/wiki/Q10858537“,”display_name“:”Scale(ratio)“,”level“:2,”score“:0.42035767},{”id“:”https://openalex.org/C126255220,“wikidata”:https://www.wikidata.org/wiki/Q141495“,”display_name“:”数学优化“,”level“:1,”score“:0.4019739},{”id“:”https://openalex.org/C41008148,“wikidata”:https://www.wikidata.org/wiki/Q21198“,”display_name“:”计算机科学“,”level“:0,”score“:0.27716583},{”id“:”https://openalex.org/C11413529,“wikidata”:https://www.wikidata.org/wiki/Q8366“,”display_name“:”Algorithm“,”level“:1,”score“:0.26557887},{”id“:”https://openalex.org/C114614502,“wikidata”:https://www.wikidata.org/wiki/Q76592“,”display_name“:”组合数学“,”level“:1,”score“:0.1798605},{”id“:”https://openalex.org/C42355184,“wikidata”:https://www.wikidata.org/wiki/Q1361088“,”display_name“:”矩阵分解“,”level“:3,”score“:0.1510174},{”id“:”https://openalex.org/C153258448,“wikidata”:https://www.wikidata.org/wiki/Q1199743“,”display_name“:”渐变下降“,”level“:3,”score“:0.12990645},{”id“:”https://openalex.org/C158693339网址,“wikidata”:https://www.wikidata.org/wiki/Q190524“,”display_name“:”特征值和特征向量“,”level“:2,”score“:0.0},{”id“:”https://openalex.org/C121332964,“wikidata”:https://www.wikidata.org/wiki/Q413“,”display_name“:”物理“,”级别“:0,”分数“:0.0},{”id“:”https://openalex.org/C62520636,“wikidata”:https://www.wikidata.org/wiki/Q944“,”display_name“:”量子力学“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C119857082,“wikidata”:https://www.wikidata.org/wiki/Q2539“,”display_name“:”机器学习“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C50644808,“wikidata”:https://www.wikidata.org/wiki/Q192776“,”display_name“:”人工神经网络“,”level“:2,”score“:0.0}],”mesh“:[],”locations_count“:1,”location“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1137/s10648275973273334“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S165512578“,”display_name“:”SIAM科学计算杂志“,”issn_l“:”1064-8275“,”isn“:[”1064-82“,”1095-7197“],”is_oa“:false,”is_in_doaj“:false,”host_organization“:”https://openalex.org/P4310320508“,”“host_organization_name”:“工业与应用数学学会”,“host_ordanization_lineage”:[“https://openalex.org/P4310320508“],”host_organization_lineage_names“:[”工业和应用数学学会“],“type”:“journal”},“license”:null,“licence_id”:null',“version”:null,“is_accepted”:false,“is_published”:false}],“best_oa_location”:nul,“sustainable_development_goals”:[{“score”:0.45,“display_name”:“合作实现目标”,“id”:“https://metadata.un.org/sdg/17“}],”grants“:[],”datasets“:[],”versions“:[】,”referenced_works_count“:29,”referrenced_works“:【”https://openalex.org/W1531721614","https://openalex.org/W1968553199","https://openalex.org/W1974421439","https://openalex.org/W1977631509","https://openalex.org/W1979359234","https://openalex.org/W1985968347","https://openalex.org/W2000389939","https://openalex.org/W2005040897","https://openalex.org/W2013336356","https://openalex.org/W2016168728","https://openalex.org/W2019814079","https://openalex.org/W2039704521","https://openalex.org/W2048255281","https://openalex.org/W2053627399","https://openalex.org/W2057194215","https://openalex.org/W2062393471","https://openalex.org/W2072175279","https://openalex.org/W2075184363","https://openalex.org/W2080641403","https://openalex.org/W2087046932","https://openalex.org/W2089099677","https://openalex.org/W2094626879","https://openalex.org/W2116610307","https://openalex.org/W2126036157","https://openalex.org/W2134847890","https://openalex.org/W2147542748","https://openalex.org/W2164374667","https://openalex.org/W4240691726","https://openalex.org/W4250667090“],”related_works“:[”https://openalex.org/W8988198783","https://openalex.org/W3022256543","https://openalex.org/W2584547575","https://openalex.org/W2397810771","https://openalex.org/W2381435995","https://openalex.org/W2078637543","https://openalex.org/W2019527453","https://openalex.org/W1987177655","https://openalex.org/W1977632218","https://openalex.org/W1509943448“],”ngrams_url“:”https://api.openalex.org/works/W1986822694/ngrams“,”“abstract_inverted_index”:{“We”:[0,79],“propose”:[1],“an”:[2],“incomplete”:[3],“Cholesky”:[4],“factorization”:[5,22],“for”:[6,74],“the”:[7,30,39,42,61,68,89],“solution”:[8],“of”:[9,18,32,37,41,63,77,97,99],“大规模”:[10],“trust”:[11],“region”:[12],“subproblem”s“:[13],”和“:[14,67101],”正“:[15],”定“:[16],”系统“:[17],”线性“:[19],”等式。“:[20],“This”:[21],“depends”:[23],“on”:[24],“a”:[25,53],“parameter”:[26],“p”:[27],“that”:[28,44,60,82],“specified”:[29],“amount”:[31],“additional”:[33],“memory”:[34102],“(in”:[35],“multiples”:[36],“n,”:[38],“dimension”:[40],“problem)”:[43],“is”:[45,48,92],“可用;“:[46],”there“:[47],”no“:[49],”need“:[50],”to“:[51],”specify“:[52],”drop“:[54,86],”tolerance。“:[55],“我们的”:[56],“数值”:[57],“结果”:[58],“显示”:[59,81],“数字”:[62,98],“共轭”:[64],“梯度”:[65],“迭代”:[66100],“计算”:[69],“时间”:[70],“是”:[71],“减少”:[72],“显著”:[73],“小”:[75],“值”:[76],“p.”:[78],“也是”:[80],“in”“:[83,95],”对比“:[84],”与“:[85],”容忍“:[87],”策略,“:[88],”新“:[90],”方法“:[91],”更多“:[93],”稳定“:[94],”术语“:[96],”需求。“:[103]},”cited_by_api_url“:”https://api.openalex.org/works?filter=cites:W1986822694“,”counts_by_year“:[{年:2024,”cited_by_count“:5},{年“:2023,”ciped_by_cunt“:3},”{“年”:2022,“cited_by_count”:3}.,{“年份”:2021,”cited_by_count“年份”:2017,“引用_ by_count”:5},{“年份”:2016,“引用_by_counts”:4},}“年份“:2015,”引用_ by-count“:7},{“年份”:2014,“引用_by_count”:14},{”年份“:2013,”引用_by-count“:8},}”年份:2012,“引用_ by_counts”:7}],“更新日期”:“2024-06-22T23:53:51.264464”,“创建日期”:”2016-06-24“}