{"id":"https://openalex.org/W2781963889","doi":"https://doi.org/10.1007/978-3-319-73441-5_26","title":"On Monte Carlo and Quasi-Monte Carlo for\u00a0Matrix Computations","display_name":"On Monte Carlo and Quasi-Monte Carlo for\u00a0Matrix Computations","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2781963889","doi":"https://doi.org/10.1007/978-3-319-73441-5_26","mag":"2781963889"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-73441-5_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-73441-5_26","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","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/A5013084939","display_name":"Vassil Alexandrov","orcid":"https://orcid.org/0000-0002-4889-1207"},"institutions":[{"id":"https://openalex.org/I98461037","display_name":"Tecnol\u00f3gico de Monterrey","ror":"https://ror.org/03ayjn504","country_code":"MX","type":"education","lineage":["https://openalex.org/I98461037"]},{"id":"https://openalex.org/I11932220","display_name":"Instituci\u00f3 Catalana de Recerca i Estudis Avan\u00e7ats","ror":"https://ror.org/0371hy230","country_code":"ES","type":"nonprofit","lineage":["https://openalex.org/I11932220"]},{"id":"https://openalex.org/I2799803557","display_name":"Barcelona Supercomputing Center","ror":"https://ror.org/05sd8tv96","country_code":"ES","type":"facility","lineage":["https://openalex.org/I2799803557","https://openalex.org/I9617848"]},{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES","MX"],"is_corresponding":false,"raw_author_name":"Vassil Alexandrov","raw_affiliation_strings":["Barcelona Supercomputing Center, Barcelona, Spain","ICREA - Catalan Institution for Advanced Research Studies, Barcelona, Spain","Inst. Tech. y de Estudios Superiores de Monterrey, Monterrey, Nuevo Le\u00f3n, Mexico"],"affiliations":[{"raw_affiliation_string":"Barcelona Supercomputing Center, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848","https://openalex.org/I2799803557"]},{"raw_affiliation_string":"ICREA - Catalan Institution for Advanced Research Studies, Barcelona, Spain","institution_ids":["https://openalex.org/I11932220"]},{"raw_affiliation_string":"Inst. Tech. y de Estudios Superiores de Monterrey, Monterrey, Nuevo Le\u00f3n, Mexico","institution_ids":["https://openalex.org/I98461037"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041059872","display_name":"Diego Davila","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]},{"id":"https://openalex.org/I2799803557","display_name":"Barcelona Supercomputing Center","ror":"https://ror.org/05sd8tv96","country_code":"ES","type":"facility","lineage":["https://openalex.org/I2799803557","https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Diego Davila","raw_affiliation_strings":["Barcelona Supercomputing Center, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Barcelona Supercomputing Center, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848","https://openalex.org/I2799803557"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087995658","display_name":"Oscar A. Esquivel-Flores","orcid":"https://orcid.org/0000-0003-1451-1285"},"institutions":[{"id":"https://openalex.org/I98461037","display_name":"Tecnol\u00f3gico de Monterrey","ror":"https://ror.org/03ayjn504","country_code":"MX","type":"education","lineage":["https://openalex.org/I98461037"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Oscar Esquivel-Flores","raw_affiliation_strings":["Inst. Tech. y de Estudios Superiores de Monterrey, Monterrey, Nuevo Le\u00f3n, Mexico"],"affiliations":[{"raw_affiliation_string":"Inst. Tech. y de Estudios Superiores de Monterrey, Monterrey, Nuevo Le\u00f3n, Mexico","institution_ids":["https://openalex.org/I98461037"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074435177","display_name":"Aneta Karaivanova","orcid":"https://orcid.org/0000-0002-6493-7981"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"funder","lineage":["https://openalex.org/I24768866"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Aneta Karaivanova","raw_affiliation_strings":["IICT, Bulgarian Academy of Sciences, Sofia, Bulgaria"],"affiliations":[{"raw_affiliation_string":"IICT, Bulgarian Academy of Sciences, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007442246","display_name":"Todor Gurov","orcid":"https://orcid.org/0000-0003-4900-0899"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"funder","lineage":["https://openalex.org/I24768866"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Todor Gurov","raw_affiliation_strings":["IICT, Bulgarian Academy of Sciences, Sofia, Bulgaria"],"affiliations":[{"raw_affiliation_string":"IICT, Bulgarian Academy of Sciences, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072825940","display_name":"Emanouil Atanassov","orcid":"https://orcid.org/0000-0002-7442-7096"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"funder","lineage":["https://openalex.org/I24768866"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Emanouil Atanassov","raw_affiliation_strings":["IICT, Bulgarian Academy of Sciences, Sofia, Bulgaria"],"affiliations":[{"raw_affiliation_string":"IICT, Bulgarian Academy of Sciences, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5074435177"],"corresponding_institution_ids":["https://openalex.org/I24768866"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.02207224,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"249","last_page":"257"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9988999962806702,"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":0.9988999962806702,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.998199999332428,"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"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/monte-carlo-method","display_name":"Monte Carlo method","score":0.8004463911056519},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7098475694656372},{"id":"https://openalex.org/keywords/supercomputer","display_name":"Supercomputer","score":0.6778541803359985},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.5751956701278687},{"id":"https://openalex.org/keywords/numerical-linear-algebra","display_name":"Numerical linear algebra","score":0.5480841994285583},{"id":"https://openalex.org/keywords/quasi-monte-carlo-method","display_name":"Quasi-Monte Carlo method","score":0.5089530944824219},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4685325026512146},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.46554386615753174},{"id":"https://openalex.org/keywords/hybrid-monte-carlo","display_name":"Hybrid Monte Carlo","score":0.4421725869178772},{"id":"https://openalex.org/keywords/monte-carlo-integration","display_name":"Monte Carlo integration","score":0.43887796998023987},{"id":"https://openalex.org/keywords/monte-carlo-molecular-modeling","display_name":"Monte Carlo molecular modeling","score":0.4210495948791504},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3477092981338501},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3342241644859314},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.2579105496406555},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18051356077194214}],"concepts":[{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.8004463911056519},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7098475694656372},{"id":"https://openalex.org/C83283714","wikidata":"https://www.wikidata.org/wiki/Q121117","display_name":"Supercomputer","level":2,"score":0.6778541803359985},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.5751956701278687},{"id":"https://openalex.org/C163834973","wikidata":"https://www.wikidata.org/wiki/Q2004891","display_name":"Numerical linear algebra","level":3,"score":0.5480841994285583},{"id":"https://openalex.org/C63320529","wikidata":"https://www.wikidata.org/wiki/Q7269435","display_name":"Quasi-Monte Carlo method","level":5,"score":0.5089530944824219},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4685325026512146},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.46554386615753174},{"id":"https://openalex.org/C13153151","wikidata":"https://www.wikidata.org/wiki/Q1639846","display_name":"Hybrid Monte Carlo","level":4,"score":0.4421725869178772},{"id":"https://openalex.org/C132725507","wikidata":"https://www.wikidata.org/wiki/Q39879","display_name":"Monte Carlo integration","level":5,"score":0.43887796998023987},{"id":"https://openalex.org/C37669827","wikidata":"https://www.wikidata.org/wiki/Q6904703","display_name":"Monte Carlo molecular modeling","level":4,"score":0.4210495948791504},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3477092981338501},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3342241644859314},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2579105496406555},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18051356077194214},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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":1,"locations":[{"id":"doi:10.1007/978-3-319-73441-5_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-73441-5_26","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W174510205","https://openalex.org/W1518815956","https://openalex.org/W1613455162","https://openalex.org/W1768849904","https://openalex.org/W2021637452","https://openalex.org/W2035080386","https://openalex.org/W2039291505","https://openalex.org/W2050662062","https://openalex.org/W2060229172","https://openalex.org/W2076868612","https://openalex.org/W2089099677","https://openalex.org/W2102225506","https://openalex.org/W2291117879","https://openalex.org/W2531383036","https://openalex.org/W2621502307","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4294677683","https://openalex.org/W1548972748","https://openalex.org/W590971457","https://openalex.org/W4367155567","https://openalex.org/W2019600130","https://openalex.org/W2151084831","https://openalex.org/W4327802989","https://openalex.org/W4253585948","https://openalex.org/W2026465639","https://openalex.org/W1987325317"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}