{"id":"https://openalex.org/W2077575254","doi":"https://doi.org/10.1007/s10107-006-0021-4","title":"On the complexity of general matrix scaling and entropy minimization via the RAS algorithm","display_name":"On the complexity of general matrix scaling and entropy minimization via the RAS algorithm","publication_year":2006,"publication_date":"2006-09-01","ids":{"openalex":"https://openalex.org/W2077575254","doi":"https://doi.org/10.1007/s10107-006-0021-4","mag":"2077575254"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-006-0021-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-006-0021-4","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","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/A5018333582","display_name":"Bahman Kalantari","orcid":"https://orcid.org/0000-0001-6217-9227"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"B. Kalantari","raw_affiliation_strings":["Department of Computer Science, Rutgers University, New Brunswick, NJ, USA","Rutgers University, Department of Computer Science, New Brunswick, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Rutgers University, New Brunswick, NJ, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Rutgers University, Department of Computer Science, New Brunswick, NJ, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014275138","display_name":"Isabella Lari","orcid":"https://orcid.org/0000-0002-3207-2493"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"I. Lari","raw_affiliation_strings":["Dipartimento di Statistica, Probabilit\u00e0 e Statistiche Applicate, Universit\u00e0 \u201cLa Sapienza\u201d, Rome, Italy","Probabilit\u00e0 e Statistiche Applicate, Universit\u00e0 \u201cLa Sapienza\u201d, Dipartimento di Statistica, New Brunswick, Rome, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Statistica, Probabilit\u00e0 e Statistiche Applicate, Universit\u00e0 \u201cLa Sapienza\u201d, Rome, Italy","institution_ids":[]},{"raw_affiliation_string":"Probabilit\u00e0 e Statistiche Applicate, Universit\u00e0 \u201cLa Sapienza\u201d, Dipartimento di Statistica, New Brunswick, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004276088","display_name":"Federica Ricca","orcid":"https://orcid.org/0000-0002-7925-7911"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"F. Ricca","raw_affiliation_strings":["Dipartimento di Statistica, Probabilit\u00e0 e Statistiche Applicate, Universit\u00e0 \u201cLa Sapienza\u201d, Rome, Italy","Probabilit\u00e0 e Statistiche Applicate, Universit\u00e0 \u201cLa Sapienza\u201d, Dipartimento di Statistica, New Brunswick, Rome, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Statistica, Probabilit\u00e0 e Statistiche Applicate, Universit\u00e0 \u201cLa Sapienza\u201d, Rome, Italy","institution_ids":[]},{"raw_affiliation_string":"Probabilit\u00e0 e Statistiche Applicate, Universit\u00e0 \u201cLa Sapienza\u201d, Dipartimento di Statistica, New Brunswick, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109223541","display_name":"Bruno Simeone","orcid":null},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"B. Simeone","raw_affiliation_strings":["Dipartimento di Statistica, Probabilit\u00e0 e Statistiche Applicate, Universit\u00e0 \u201cLa Sapienza\u201d, Rome, Italy","Probabilit\u00e0 e Statistiche Applicate, Universit\u00e0 \u201cLa Sapienza\u201d, Dipartimento di Statistica, New Brunswick, Rome, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Statistica, Probabilit\u00e0 e Statistiche Applicate, Universit\u00e0 \u201cLa Sapienza\u201d, Rome, Italy","institution_ids":[]},{"raw_affiliation_string":"Probabilit\u00e0 e Statistiche Applicate, Universit\u00e0 \u201cLa Sapienza\u201d, Dipartimento di Statistica, New Brunswick, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5018333582"],"corresponding_institution_ids":["https://openalex.org/I102322142"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.6283,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.72235128,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"112","issue":"2","first_page":"371","last_page":"401"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9987000226974487,"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"}},"topics":[{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8025482892990112},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6470456719398499},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.6347805857658386},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5411654114723206},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4820885956287384},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4599190950393677},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4466700851917267},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4456859827041626},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4431760609149933},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4425026476383209},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3734647035598755},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.12016719579696655},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11147761344909668}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8025482892990112},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6470456719398499},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6347805857658386},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5411654114723206},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4820885956287384},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4599190950393677},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4466700851917267},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4456859827041626},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4431760609149933},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4425026476383209},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3734647035598755},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.12016719579696655},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11147761344909668},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10107-006-0021-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-006-0021-4","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:iris.uniroma1.it:11573/227209","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?eid=2-s2.0-36749081649&partnerID=65&md5=523b12c910d674db0b9b1d2bda23f6cc","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W48518670","https://openalex.org/W86015242","https://openalex.org/W1542339055","https://openalex.org/W1632601927","https://openalex.org/W1975457501","https://openalex.org/W1990283121","https://openalex.org/W1993677524","https://openalex.org/W2002321327","https://openalex.org/W2011848437","https://openalex.org/W2016358031","https://openalex.org/W2022242474","https://openalex.org/W2025469642","https://openalex.org/W2025962215","https://openalex.org/W2034025033","https://openalex.org/W2034613447","https://openalex.org/W2036980724","https://openalex.org/W2040424361","https://openalex.org/W2042894448","https://openalex.org/W2045361520","https://openalex.org/W2046715803","https://openalex.org/W2047354852","https://openalex.org/W2056053749","https://openalex.org/W2059949081","https://openalex.org/W2060220641","https://openalex.org/W2066917381","https://openalex.org/W2072715733","https://openalex.org/W2087472701","https://openalex.org/W2124462822","https://openalex.org/W2272201754","https://openalex.org/W2330701221","https://openalex.org/W2485333863","https://openalex.org/W2577053083","https://openalex.org/W2584216746","https://openalex.org/W2610680804","https://openalex.org/W2611147814","https://openalex.org/W4243963614"],"related_works":["https://openalex.org/W2135584473","https://openalex.org/W2964223869","https://openalex.org/W2626141450","https://openalex.org/W2114045837","https://openalex.org/W2792539140","https://openalex.org/W2005808740","https://openalex.org/W2295130398","https://openalex.org/W4302055909","https://openalex.org/W2810740133","https://openalex.org/W1971979548"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}