{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T23:36:38Z","timestamp":1772580998974,"version":"3.50.1"},"reference-count":15,"publisher":"Wiley","license":[{"start":{"date-parts":[[2023,3,29]],"date-time":"2023-03-29T00:00:00Z","timestamp":1680048000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Science and Technological Bases and Talents of Guangxi","award":["GUIKE AD21220024"],"award-info":[{"award-number":["GUIKE AD21220024"]}]},{"name":"Science and Technological Bases and Talents of Guangxi","award":["12061015"],"award-info":[{"award-number":["12061015"]}]},{"name":"Science and Technological Bases and Talents of Guangxi","award":["2018 GXNSFDA281023"],"award-info":[{"award-number":["2018 GXNSFDA281023"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["GUIKE AD21220024"],"award-info":[{"award-number":["GUIKE AD21220024"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12061015"],"award-info":[{"award-number":["12061015"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["2018 GXNSFDA281023"],"award-info":[{"award-number":["2018 GXNSFDA281023"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004607","name":"Natural Science Foundation of Guangxi Province","doi-asserted-by":"publisher","award":["GUIKE AD21220024"],"award-info":[{"award-number":["GUIKE AD21220024"]}],"id":[{"id":"10.13039\/501100004607","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004607","name":"Natural Science Foundation of Guangxi Province","doi-asserted-by":"publisher","award":["12061015"],"award-info":[{"award-number":["12061015"]}],"id":[{"id":"10.13039\/501100004607","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004607","name":"Natural Science Foundation of Guangxi Province","doi-asserted-by":"publisher","award":["2018 GXNSFDA281023"],"award-info":[{"award-number":["2018 GXNSFDA281023"]}],"id":[{"id":"10.13039\/501100004607","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2023,3,29]]},"abstract":"<jats:p>In this paper, we introduce a new generalized inverse, called the G-MPCEP inverse of a complex matrix. We investigate some characterizations, representations, and properties of this new inverse. Cramer\u2019s rule for the solution of a singular equation <jats:inline-formula>\n                     <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\">\n                        <a:mi>A<\/a:mi>\n                        <a:mi>x<\/a:mi>\n                        <a:mo>=<\/a:mo>\n                        <a:mi>B<\/a:mi>\n                     <\/a:math>\n                  <\/jats:inline-formula> is also presented. Moreover, the determinantal representations for the G-MPCEP inverse are studied. Finally, the G-MPCEP inverse being used in solving appropriate systems of linear equations is established.<\/jats:p>","DOI":"10.1155\/2023\/6235312","type":"journal-article","created":{"date-parts":[[2023,3,29]],"date-time":"2023-03-29T16:35:54Z","timestamp":1680107754000},"page":"1-10","source":"Crossref","is-referenced-by-count":3,"title":["Characterizations of the Generalized MPCEP Inverse of Rectangular Matrices"],"prefix":"10.1155","volume":"2023","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-8616-8738","authenticated-orcid":true,"given":"Jiaxuan","family":"Yao","sequence":"first","affiliation":[{"name":"School of Mathematics and Physics, Guangxi Minzu University, Nanning 530006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9249-5156","authenticated-orcid":true,"given":"Xiaoji","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Physics, Guangxi Minzu University, Nanning 530006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9009-591X","authenticated-orcid":true,"given":"Hongwei","family":"Jin","sequence":"additional","affiliation":[{"name":"School of Mathematics and Physics, Guangxi Minzu University, Nanning 530006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","article-title":"Generalized inverses: theory and computations","volume-title":"Developments in mathematics","author":"G. 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