{"id":"https://openalex.org/W1869445902","doi":"https://doi.org/10.1007/978-3-642-18381-2_13","title":"Sequential Optimization of Matrix Chain Multiplication Relative to Different Cost Functions","display_name":"Sequential Optimization of Matrix Chain Multiplication Relative to Different Cost Functions","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1869445902","doi":"https://doi.org/10.1007/978-3-642-18381-2_13","mag":"1869445902"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-18381-2_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-18381-2_13","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/A5023138124","display_name":"Igor Chikalov","orcid":"https://orcid.org/0000-0002-1010-6605"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Igor Chikalov","raw_affiliation_strings":["Mathematical and Computer Sciences & Engineering Division, King Abdullah University of Science and Technology, Thuwal, 23955-6900, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Mathematical and Computer Sciences & Engineering Division, King Abdullah University of Science and Technology, Thuwal, 23955-6900, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040883108","display_name":"Shahid Hussain","orcid":"https://orcid.org/0000-0002-1698-2809"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Shahid Hussain","raw_affiliation_strings":["Mathematical and Computer Sciences & Engineering Division, King Abdullah University of Science and Technology, Thuwal, 23955-6900, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Mathematical and Computer Sciences & Engineering Division, King Abdullah University of Science and Technology, Thuwal, 23955-6900, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009085292","display_name":"Mikhail Moshkov","orcid":"https://orcid.org/0000-0003-0085-9483"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Mikhail Moshkov","raw_affiliation_strings":["Mathematical and Computer Sciences & Engineering Division, King Abdullah University of Science and Technology, Thuwal, 23955-6900, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Mathematical and Computer Sciences & Engineering Division, King Abdullah University of Science and Technology, Thuwal, 23955-6900, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023138124"],"corresponding_institution_ids":["https://openalex.org/I71920554"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.0144,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.8805203,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"157","last_page":"165"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.992900013923645,"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"}},"topics":[{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.992900013923645,"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/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9869999885559082,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9843999743461609,"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/computer-science","display_name":"Computer science","score":0.7470842003822327},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.7058517336845398},{"id":"https://openalex.org/keywords/scalar-multiplication","display_name":"Scalar multiplication","score":0.6928676962852478},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.5034319758415222},{"id":"https://openalex.org/keywords/overhead","display_name":"Overhead (engineering)","score":0.48787832260131836},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4758859872817993},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.430929958820343},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40378472208976746},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.39816099405288696},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.39116787910461426},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38522017002105713},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2309192717075348},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09111836552619934}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7470842003822327},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.7058517336845398},{"id":"https://openalex.org/C171182647","wikidata":"https://www.wikidata.org/wiki/Q126736","display_name":"Scalar multiplication","level":3,"score":0.6928676962852478},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5034319758415222},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.48787832260131836},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4758859872817993},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.430929958820343},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40378472208976746},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.39816099405288696},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.39116787910461426},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38522017002105713},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2309192717075348},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09111836552619934},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-18381-2_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-18381-2_13","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"},{"id":"pmh:oai:repository.kaust.edu.sa:10754/564333","is_oa":false,"landing_page_url":"http://hdl.handle.net/10754/564333","pdf_url":null,"source":{"id":"https://openalex.org/S4306401596","display_name":"King Abdullah University of Science and Technology Repository (King Abdullah University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71920554","host_organization_name":"King Abdullah University of Science and Technology","host_organization_lineage":["https://openalex.org/I71920554"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1518597214","https://openalex.org/W1585266897","https://openalex.org/W1604021722","https://openalex.org/W1855109085","https://openalex.org/W1953884759","https://openalex.org/W2041234854","https://openalex.org/W2085140829","https://openalex.org/W2222888818","https://openalex.org/W2341171179","https://openalex.org/W2500062327","https://openalex.org/W3145128584","https://openalex.org/W3150041682","https://openalex.org/W4238323774","https://openalex.org/W4247530313","https://openalex.org/W4285719527","https://openalex.org/W4372046852"],"related_works":["https://openalex.org/W2034604290","https://openalex.org/W2867317277","https://openalex.org/W2078886092","https://openalex.org/W3099313426","https://openalex.org/W1576294153","https://openalex.org/W4287593139","https://openalex.org/W2362283711","https://openalex.org/W752783541","https://openalex.org/W2002792918","https://openalex.org/W2360049128"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}