{"id":"https://openalex.org/W4386573937","doi":"https://doi.org/10.1007/s11075-023-01656-0","title":"Modulus-based block triangular splitting iteration method for solving the generalized absolute value equations","display_name":"Modulus-based block triangular splitting iteration method for solving the generalized absolute value equations","publication_year":2023,"publication_date":"2023-09-09","ids":{"openalex":"https://openalex.org/W4386573937","doi":"https://doi.org/10.1007/s11075-023-01656-0"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-023-01656-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-023-01656-0","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/A5006645530","display_name":"Pingfei Dai","orcid":"https://orcid.org/0000-0002-5702-0411"},"institutions":[{"id":"https://openalex.org/I163151501","display_name":"Hangzhou Normal University","ror":"https://ror.org/014v1mr15","country_code":"CN","type":"education","lineage":["https://openalex.org/I163151501"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pingfei Dai","raw_affiliation_strings":["School of Mathematics, Hangzhou Normal University, Hangzhou, 311121, Zhejiang, People\u2019s Republic of China","School of Mathematics, Hangzhou Normal University, Hangzhou, 311121, Zhejiang, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Hangzhou Normal University, Hangzhou, 311121, Zhejiang, People\u2019s Republic of China","institution_ids":["https://openalex.org/I163151501"]},{"raw_affiliation_string":"School of Mathematics, Hangzhou Normal University, Hangzhou, 311121, Zhejiang, People's Republic of China","institution_ids":["https://openalex.org/I163151501"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061711970","display_name":"Qingbiao Wu","orcid":"https://orcid.org/0000-0003-2706-6264"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qingbiao Wu","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang University, Hangzhou, 310027, Zhejiang, People\u2019s Republic of China","School of Mathematical Sciences, Zhejiang University, Hangzhou, 310027, Zhejiang, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University, Hangzhou, 310027, Zhejiang, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University, Hangzhou, 310027, Zhejiang, People's Republic of China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061711970"],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.403,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65579553,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"96","issue":"2","first_page":"537","last_page":"555"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9962999820709229,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9891999959945679,"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":0.8324966430664062},{"id":"https://openalex.org/keywords/triangular-matrix","display_name":"Triangular matrix","score":0.7077661752700806},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5896762013435364},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.5727080702781677},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5319511890411377},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5240792632102966},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5208169221878052},{"id":"https://openalex.org/keywords/coefficient-matrix","display_name":"Coefficient matrix","score":0.4992051124572754},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4970259964466095},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4822019338607788},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4734118580818176},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.4584498107433319},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.44222384691238403},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4407445192337036},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.42123883962631226},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3889595568180084},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34618937969207764},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34232157468795776},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13729363679885864},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.08860686421394348}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8324966430664062},{"id":"https://openalex.org/C104528550","wikidata":"https://www.wikidata.org/wiki/Q506265","display_name":"Triangular matrix","level":3,"score":0.7077661752700806},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5896762013435364},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.5727080702781677},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5319511890411377},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5240792632102966},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5208169221878052},{"id":"https://openalex.org/C60866291","wikidata":"https://www.wikidata.org/wiki/Q5140577","display_name":"Coefficient matrix","level":3,"score":0.4992051124572754},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4970259964466095},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4822019338607788},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4734118580818176},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.4584498107433319},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.44222384691238403},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4407445192337036},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.42123883962631226},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3889595568180084},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34618937969207764},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34232157468795776},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13729363679885864},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.08860686421394348},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-023-01656-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-023-01656-0","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5923961107","display_name":null,"funder_award_id":"12271479","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7258065502","display_name":null,"funder_award_id":"12201165","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1956819437","https://openalex.org/W1964493541","https://openalex.org/W1980885731","https://openalex.org/W1982337446","https://openalex.org/W2000151369","https://openalex.org/W2002603575","https://openalex.org/W2063115667","https://openalex.org/W2088241859","https://openalex.org/W2088456940","https://openalex.org/W2089649903","https://openalex.org/W2128087213","https://openalex.org/W2128234186","https://openalex.org/W2131341785","https://openalex.org/W2134508021","https://openalex.org/W2461123938","https://openalex.org/W2467442850","https://openalex.org/W2615215470","https://openalex.org/W2901705294","https://openalex.org/W2945383297","https://openalex.org/W2966430741","https://openalex.org/W2972592906","https://openalex.org/W3023390379","https://openalex.org/W3028684264","https://openalex.org/W3109228213","https://openalex.org/W3141304611","https://openalex.org/W3200756715","https://openalex.org/W4224945163","https://openalex.org/W4225476192","https://openalex.org/W4229037980","https://openalex.org/W4292601018","https://openalex.org/W4295016751","https://openalex.org/W4299343067","https://openalex.org/W4307404342","https://openalex.org/W4313251819"],"related_works":["https://openalex.org/W2035087110","https://openalex.org/W3037658677","https://openalex.org/W2349620591","https://openalex.org/W2381535510","https://openalex.org/W3201862125","https://openalex.org/W3184093895","https://openalex.org/W3046754636","https://openalex.org/W2217701198","https://openalex.org/W2005078240","https://openalex.org/W2347990101"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-02-06T02:01:19.302388","created_date":"2025-10-10T00:00:00"}
