{"id":"https://openalex.org/W2892635423","doi":"https://doi.org/10.1007/s11075-018-0601-4","title":"Alternating iterative methods for solving tensor equations with applications","display_name":"Alternating iterative methods for solving tensor equations with applications","publication_year":2018,"publication_date":"2018-09-29","ids":{"openalex":"https://openalex.org/W2892635423","doi":"https://doi.org/10.1007/s11075-018-0601-4","mag":"2892635423"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-018-0601-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0601-4","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5090313263","display_name":"Maolin Liang","orcid":"https://orcid.org/0000-0001-9301-2403"},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]},{"id":"https://openalex.org/I4210163834","display_name":"Tianshui Normal University","ror":"https://ror.org/05kc6dc21","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210163834"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Maolin Liang","raw_affiliation_strings":["School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China","School of Mathematics and Statistics, Tianshui Normal University, Tianshui, 741001, People\u2019s Republic of China","School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76214153"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Tianshui Normal University, Tianshui, 741001, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210163834"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People's Republic of China","institution_ids":["https://openalex.org/I76214153"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062302772","display_name":"Bing Zheng","orcid":"https://orcid.org/0000-0003-0552-835X"},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bing Zheng","raw_affiliation_strings":["School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China","School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76214153"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People's Republic of China","institution_ids":["https://openalex.org/I76214153"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047334128","display_name":"Ruijuan Zhao","orcid":"https://orcid.org/0000-0002-0658-3927"},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruijuan Zhao","raw_affiliation_strings":["School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China","School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76214153"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People's Republic of China","institution_ids":["https://openalex.org/I76214153"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5090313263"],"corresponding_institution_ids":["https://openalex.org/I4210163834","https://openalex.org/I76214153"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.6275,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.79591837,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"80","issue":"4","first_page":"1437","last_page":"1465"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T12303","display_name":"Tensor decomposition and applications","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9793999791145325,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9652000069618225,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8119180202484131},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.6885042190551758},{"id":"https://openalex.org/keywords/cartesian-tensor","display_name":"Cartesian tensor","score":0.6530035138130188},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.5822758078575134},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5078533291816711},{"id":"https://openalex.org/keywords/tensor-contraction","display_name":"Tensor contraction","score":0.5074488520622253},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4554874002933502},{"id":"https://openalex.org/keywords/symmetric-tensor","display_name":"Symmetric tensor","score":0.4220961034297943},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.41926825046539307},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3882940709590912},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3724514842033386},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.33418595790863037},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3319023549556732},{"id":"https://openalex.org/keywords/tensor-field","display_name":"Tensor field","score":0.3148858845233917},{"id":"https://openalex.org/keywords/tensor-density","display_name":"Tensor density","score":0.28598111867904663},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24086666107177734},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2235548198223114}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8119180202484131},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6885042190551758},{"id":"https://openalex.org/C64835786","wikidata":"https://www.wikidata.org/wiki/Q17004583","display_name":"Cartesian tensor","level":5,"score":0.6530035138130188},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.5822758078575134},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5078533291816711},{"id":"https://openalex.org/C124007464","wikidata":"https://www.wikidata.org/wiki/Q428091","display_name":"Tensor contraction","level":3,"score":0.5074488520622253},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4554874002933502},{"id":"https://openalex.org/C20178491","wikidata":"https://www.wikidata.org/wiki/Q2204117","display_name":"Symmetric tensor","level":3,"score":0.4220961034297943},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.41926825046539307},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3882940709590912},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3724514842033386},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.33418595790863037},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3319023549556732},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.3148858845233917},{"id":"https://openalex.org/C148125525","wikidata":"https://www.wikidata.org/wiki/Q904927","display_name":"Tensor density","level":4,"score":0.28598111867904663},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24086666107177734},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2235548198223114},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s11075-018-0601-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0601-4","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:ir.lzu.edu.cn/:262010/298322","is_oa":false,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/298322","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University Institutional Repository","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":"Article"},{"id":"pmh:oai:ir.lzu.edu.cn/:262010/376996","is_oa":false,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/376996","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University Institutional Repository","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":"Article"},{"id":"pmh:oai:ir.lzu.edu.cn/:262010/269821","is_oa":false,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/269821","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University Institutional Repository","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":"\u671f\u520a\u8bba\u6587"},{"id":"pmh:oai:ir.lzu.edu.cn/:262010/281492","is_oa":false,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/281492","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University Institutional Repository","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":"Article"},{"id":"pmh:oai:ir.lzu.edu.cn/:262010/293443","is_oa":false,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/293443","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University Institutional Repository","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":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5947849822","display_name":null,"funder_award_id":"11571004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W1480376833","https://openalex.org/W1504748373","https://openalex.org/W1554944419","https://openalex.org/W1682665945","https://openalex.org/W1846534543","https://openalex.org/W1963973528","https://openalex.org/W1967077133","https://openalex.org/W1968373943","https://openalex.org/W1973781087","https://openalex.org/W1974018266","https://openalex.org/W1982831910","https://openalex.org/W1992841740","https://openalex.org/W1993482030","https://openalex.org/W1994888324","https://openalex.org/W1995406764","https://openalex.org/W2024165284","https://openalex.org/W2031216664","https://openalex.org/W2038198231","https://openalex.org/W2045079045","https://openalex.org/W2057953211","https://openalex.org/W2070028074","https://openalex.org/W2079705627","https://openalex.org/W2088025933","https://openalex.org/W2090208105","https://openalex.org/W2090799283","https://openalex.org/W2090963365","https://openalex.org/W2106510159","https://openalex.org/W2113722075","https://openalex.org/W2117699623","https://openalex.org/W2133937084","https://openalex.org/W2135046866","https://openalex.org/W2141076336","https://openalex.org/W2155723734","https://openalex.org/W2164278908","https://openalex.org/W2222111999","https://openalex.org/W2295652899","https://openalex.org/W2315630905","https://openalex.org/W2319397399","https://openalex.org/W2495841599","https://openalex.org/W2560470131","https://openalex.org/W2582681631","https://openalex.org/W2609276162","https://openalex.org/W2612330993","https://openalex.org/W2749459105","https://openalex.org/W2767311547","https://openalex.org/W2962853966","https://openalex.org/W2964074814","https://openalex.org/W3098015574","https://openalex.org/W3101457173","https://openalex.org/W3119264343","https://openalex.org/W4245490374","https://openalex.org/W4292363360","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W1965338607","https://openalex.org/W2981910625","https://openalex.org/W2765690628","https://openalex.org/W2607194831","https://openalex.org/W4360921185","https://openalex.org/W2058505222","https://openalex.org/W2403348579","https://openalex.org/W2166062232","https://openalex.org/W1993813870","https://openalex.org/W4317655647"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":9},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
