{"id":"https://openalex.org/W4388341880","doi":"https://doi.org/10.1007/s43069-023-00269-6","title":"Convergence of the Multiplicative Algebraic Reconstruction Technique for the Inconsistent System of Equations","display_name":"Convergence of the Multiplicative Algebraic Reconstruction Technique for the Inconsistent System of Equations","publication_year":2023,"publication_date":"2023-11-04","ids":{"openalex":"https://openalex.org/W4388341880","doi":"https://doi.org/10.1007/s43069-023-00269-6"},"language":"en","primary_location":{"id":"doi:10.1007/s43069-023-00269-6","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s43069-023-00269-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210215153","display_name":"Operations Research Forum","issn_l":"2662-2556","issn":["2662-2556"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research Forum","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/A5031974565","display_name":"Thomas Katsekpor","orcid":null},"institutions":[{"id":"https://openalex.org/I138690464","display_name":"University of Ghana","ror":"https://ror.org/01r22mr83","country_code":"GH","type":"education","lineage":["https://openalex.org/I138690464"]}],"countries":["GH"],"is_corresponding":true,"raw_author_name":"Thomas Katsekpor","raw_affiliation_strings":["Department of Mathematics, University of Ghana, Legon, Ghana"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Ghana, Legon, Ghana","institution_ids":["https://openalex.org/I138690464"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5031974565"],"corresponding_institution_ids":["https://openalex.org/I138690464"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.2335,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60953312,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"4","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9940999746322632,"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/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algebraic-reconstruction-technique","display_name":"Algebraic Reconstruction Technique","score":0.7177798748016357},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6842198967933655},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.6713476777076721},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6556676626205444},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6067403554916382},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6020476222038269},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5321442484855652},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5041936635971069},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44532081484794617},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.4237246513366699},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4211307466030121},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3920953869819641},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34481826424598694},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.2906002998352051},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2573281526565552},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21734142303466797},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18350258469581604},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10231241583824158},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08855098485946655}],"concepts":[{"id":"https://openalex.org/C206654267","wikidata":"https://www.wikidata.org/wiki/Q4723986","display_name":"Algebraic Reconstruction Technique","level":3,"score":0.7177798748016357},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6842198967933655},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6713476777076721},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6556676626205444},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6067403554916382},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6020476222038269},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5321442484855652},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5041936635971069},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44532081484794617},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.4237246513366699},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4211307466030121},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3920953869819641},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34481826424598694},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.2906002998352051},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2573281526565552},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21734142303466797},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18350258469581604},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10231241583824158},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08855098485946655},{"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s43069-023-00269-6","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s43069-023-00269-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210215153","display_name":"Operations Research Forum","issn_l":"2662-2556","issn":["2662-2556"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research Forum","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:snopef:v:4:y:2023:i:4:d:10.1007_s43069-023-00269-6","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s43069-023-00269-6","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W92540498","https://openalex.org/W1550563201","https://openalex.org/W1965555277","https://openalex.org/W1977769089","https://openalex.org/W1988844573","https://openalex.org/W1989042589","https://openalex.org/W1990919278","https://openalex.org/W2000748685","https://openalex.org/W2000938288","https://openalex.org/W2001792610","https://openalex.org/W2028352740","https://openalex.org/W2048305372","https://openalex.org/W2050937983","https://openalex.org/W2053342145","https://openalex.org/W2057910715","https://openalex.org/W2091826725","https://openalex.org/W2130217200","https://openalex.org/W2138749682","https://openalex.org/W2139304936","https://openalex.org/W2144932012","https://openalex.org/W2148481429","https://openalex.org/W2156612134","https://openalex.org/W2157425580","https://openalex.org/W2316652148","https://openalex.org/W2532274247","https://openalex.org/W2789312613","https://openalex.org/W2884827531","https://openalex.org/W2949745249","https://openalex.org/W3102157992","https://openalex.org/W4388311264"],"related_works":["https://openalex.org/W2126390477","https://openalex.org/W2371772489","https://openalex.org/W2170013580","https://openalex.org/W1982614404","https://openalex.org/W2038339027","https://openalex.org/W1809283177","https://openalex.org/W2326944477","https://openalex.org/W2044448599","https://openalex.org/W4297824099","https://openalex.org/W2506951661"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-01-21T23:30:37.877113","created_date":"2025-10-10T00:00:00"}