{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,11]],"date-time":"2026-05-11T19:11:12Z","timestamp":1778526672607,"version":"3.51.4"},"reference-count":54,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2021,6,28]],"date-time":"2021-06-28T00:00:00Z","timestamp":1624838400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,6,28]],"date-time":"2021-06-28T00:00:00Z","timestamp":1624838400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100004564","name":"Ministarstvo Prosvete, Nauke i Tehnolo\u0161kog Razvoja","doi-asserted-by":"publisher","award":["174007\/451-03-9\/2021-14\/200124"],"award-info":[{"award-number":["174007\/451-03-9\/2021-14\/200124"]}],"id":[{"id":"10.13039\/501100004564","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Appl. Math."],"published-print":{"date-parts":[[2021,7]]},"DOI":"10.1007\/s40314-021-01566-8","type":"journal-article","created":{"date-parts":[[2021,6,28]],"date-time":"2021-06-28T04:02:45Z","timestamp":1624852965000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":24,"title":["MPD-DMP-solutions to quaternion two-sided restricted matrix equations"],"prefix":"10.1007","volume":"40","author":[{"given":"Ivan I.","family":"Kyrchei","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dijana","family":"Mosi\u0107","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Predrag","family":"Stanimirovi\u0107","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,6,28]]},"reference":[{"key":"1566_CR1","doi-asserted-by":"crossref","first-page":"801","DOI":"10.1002\/nla.496","volume":"13","author":"ZZ Bai","year":"2006","unstructured":"Bai ZZ, Deng YB, Gao YH (2006) Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations. Numer Linear Algebra Appl 13:801\u2013823","journal-title":"Numer Linear Algebra Appl"},{"key":"1566_CR2","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1016\/0024-3795(94)90080-9","volume":"211","author":"RB Bapat","year":"1994","unstructured":"Bapat RB (1994) Generalized inverses with proportional minors. Linear Algebra Appl 211:27\u201335","journal-title":"Linear Algebra Appl"},{"key":"1566_CR3","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/0024-3795(90)90229-6","volume":"140","author":"RB Bapat","year":"1990","unstructured":"Bapat RB, Bhaskara KPS, Manjunatha Prasad K (1990) Generalized inverses over integral domains. Linear Algebra Appl 140:181\u2013196","journal-title":"Linear Algebra Appl"},{"key":"1566_CR4","doi-asserted-by":"publisher","DOI":"10.1002\/nla.2317","author":"R Behera","year":"2020","unstructured":"Behera R, Nandi AK, Sahoo JK (2020) Further results on the Drazin inverse of even order tensors. Numer Linear Algebra Appl. https:\/\/doi.org\/10.1002\/nla.2317","journal-title":"Numer Linear Algebra Appl"},{"key":"1566_CR5","unstructured":"Ben-Israel A, Grevile TNE (2003) Generalized inverses, Theory and applications, Second edition, Canadian Mathematical Society, Springer, New York, Beflin, Heidelberg, Hong Kong, London, Milan, Paris, Tokyo"},{"key":"1566_CR6","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1002\/nla.513","volume":"14","author":"J Cai","year":"2007","unstructured":"Cai J, Chen G (2007) On determinantal representation for the generalized inverse $$A_{T, S}^{(2)}$$ and its applications. Numer Linear Algebra Appl 14:169\u2013182","journal-title":"Numer Linear Algebra Appl"},{"issue":"89","key":"1566_CR7","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/0024-3795(87)90104-2","volume":"88","author":"KE Chu","year":"1987","unstructured":"Chu KE (1987) Singular value generalized singular value decompositions and the solution of linear matrix equations. Linear Algebra Appl 88(89):83\u201398","journal-title":"Linear Algebra Appl"},{"key":"1566_CR8","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1016\/j.amc.2018.03.102","volume":"333","author":"DE Ferreyra","year":"2018","unstructured":"Ferreyra DE, Levis FE, Thome N (2018) Maximal classes of matrices determining generalized inverses. Appl Math Comput 333:42\u201352","journal-title":"Appl Math Comput"},{"key":"1566_CR9","doi-asserted-by":"publisher","unstructured":"He Z-H, Wang M (2021) A quaternion matrix equation with two different restrictions, Advances in Applied Clifford Algebras 31(25), https:\/\/doi.org\/10.1007\/s00006-021-01122-x","DOI":"10.1007\/s00006-021-01122-x"},{"issue":"6","key":"1566_CR10","doi-asserted-by":"crossref","first-page":"725","DOI":"10.1080\/03081087.2012.703192","volume":"61","author":"Z-H He","year":"2013","unstructured":"He Z-H, Wang Q-W (2013) A real quaternion matrix equation with applications. Linear Multilinear Algebra 61(6):725\u2013740","journal-title":"Linear Multilinear Algebra"},{"key":"1566_CR11","doi-asserted-by":"crossref","first-page":"9828","DOI":"10.1016\/j.amc.2011.04.080","volume":"217","author":"VN Katsikis","year":"2011","unstructured":"Katsikis VN, Pappas D, Petralias A (2011) An improved method for the computation of the Moore-Penrose inverse matrix. Appl Math Comput 217:9828\u20139834","journal-title":"Appl Math Comput"},{"key":"1566_CR12","doi-asserted-by":"crossref","first-page":"579","DOI":"10.1137\/0131050","volume":"31","author":"CG Khatri","year":"1976","unstructured":"Khatri CG, Mitra SK (1976) Hermitian and nonnegative definite solutions of linear matrix equations. SIAM J Appl Math 31:579\u2013585","journal-title":"SIAM J Appl Math"},{"key":"1566_CR13","doi-asserted-by":"crossref","unstructured":"Kyrchei I (2019) Determinantal representations of the core inverse and its generalizations with applications. J Math 2019, Article ID 1631979, 13 pages","DOI":"10.1155\/2019\/1631979"},{"key":"1566_CR14","doi-asserted-by":"publisher","unstructured":"Kyrchei I (2020) Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations, Rev. R. Acad. Cienc. Exactas F\u00eds. Nat. Ser. A Mat. RACSAM, 114:198 https:\/\/doi.org\/10.1007\/s13398-020-00930-3","DOI":"10.1007\/s13398-020-00930-3"},{"key":"1566_CR15","unstructured":"Kyrchei II (2012) The theory of the column and row determinants in a quaternion linear algebra. In: Baswell AR (ed) Adv Math Res 15. Nova Sci. Publ, New York, pp 301\u2013359"},{"key":"1566_CR16","unstructured":"Kyrchei II (2017) Determinantal representations of the Drazin and W-weighted Drazin inverses over the quaternion skew field with applications. In: S. Griffin (Ed.): Quaternions: Theory and Applications, pp. 201-275. Nova Sci. Publ., New York"},{"issue":"6","key":"1566_CR17","doi-asserted-by":"crossref","first-page":"839","DOI":"10.1007\/s10958-008-9245-6","volume":"155","author":"II Kyrchei","year":"2008","unstructured":"Kyrchei II (2008) Cramer\u2019s rule for quaternionic systems of linear equations. J Math Sci 155(6):839\u2013858","journal-title":"J Math Sci"},{"key":"1566_CR18","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1080\/03081081003586860","volume":"59","author":"II Kyrchei","year":"2011","unstructured":"Kyrchei II (2011) Determinantal representations of the Moore-Penrose inverse over the quaternion skew field and corresponding Cramer\u2019s rules. Linear Multilinear Algebra 59:413\u2013431","journal-title":"Linear Multilinear Algebra"},{"key":"1566_CR19","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1016\/j.amc.2014.03.125","volume":"238","author":"II Kyrchei","year":"2014","unstructured":"Kyrchei II (2014) Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations. Appl Math Comput 238:193\u2013207","journal-title":"Appl Math Comput"},{"key":"1566_CR20","first-page":"35","volume-title":"Advances in Mathematics Research 23","author":"II Kyrchei","year":"2017","unstructured":"Kyrchei II (2017) Determinantal representations of the quaternion weighted Moore-Penrose inverse and its applications. In: Baswell AR (ed) Advances in Mathematics Research 23. Nova Sci. Publ, New York, pp 35\u201396"},{"issue":"5","key":"1566_CR21","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1007\/s00006-019-1024-6","volume":"29","author":"I Kyrchei","year":"2019","unstructured":"Kyrchei I (2019) Determinantal representations of the quaternion core inverse and its generalizations. Adv Appl Clifford Algebras 29(5):104","journal-title":"Adv Appl Clifford Algebras"},{"key":"1566_CR22","doi-asserted-by":"crossref","first-page":"556","DOI":"10.1016\/j.amc.2008.12.030","volume":"208","author":"X Liu","year":"2009","unstructured":"Liu X, Yu Y, Wang H (2009) Determinantal representation of the weighted generalized inverse. Appl Math Comput 208:556\u2013563","journal-title":"Appl Math Comput"},{"key":"1566_CR23","doi-asserted-by":"crossref","unstructured":"Liu X, Cai N (2018) High-order iterative methods for the DMP inverse. J Math 2018, Article ID 8175935, 6 pages","DOI":"10.1155\/2018\/8175935"},{"issue":"14","key":"1566_CR24","doi-asserted-by":"crossref","first-page":"1748","DOI":"10.1080\/01630563.2020.1813162","volume":"41","author":"H Ma","year":"2020","unstructured":"Ma H (2020) Acute and stable perturbations of the Drazin inverse of bounded linear operators in Banach spaces. Numer Funct Anal Optim 41(14):1748\u20131760","journal-title":"Numer Funct Anal Optim"},{"key":"1566_CR25","doi-asserted-by":"crossref","unstructured":"Ma H, Gao X, Stanimirovi\u0107 PS (2020) Characterizations, iterative method, sign pattern and perturbation analysis for the DMP inverse with its applications. Appl Math Comput 378","DOI":"10.1016\/j.amc.2020.125196"},{"key":"1566_CR26","doi-asserted-by":"crossref","first-page":"575","DOI":"10.1016\/j.amc.2013.10.060","volume":"226","author":"SB Malik","year":"2014","unstructured":"Malik SB, Thome N (2014) On a new generalized inverse for matrices of an arbitrary index. Appl Math Comput 226:575\u2013580","journal-title":"Appl Math Comput"},{"issue":"19","key":"1566_CR27","doi-asserted-by":"crossref","first-page":"6015","DOI":"10.2298\/FIL1719015M","volume":"31","author":"LS Meng","year":"2017","unstructured":"Meng LS (2017) The DMP inverse for rectangular matrices. Filomat 31(19):6015\u20136019","journal-title":"Filomat"},{"key":"1566_CR28","first-page":"387","volume":"35","author":"SK Mitra","year":"1972","unstructured":"Mitra SK (1972) Fixed rank solutions of linear matrix equations. Sankhya Ser A 35:387\u2013392","journal-title":"Sankhya Ser A"},{"key":"1566_CR29","first-page":"1263","volume":"55","author":"D Mosi\u0107","year":"2018","unstructured":"Mosi\u0107 D (2018) Weighted gDMP inverse of operators between Hilbert spaces. Bull. Korean Math. Soc. 55:1263\u20131271","journal-title":"Bull. Korean Math. Soc."},{"issue":"11","key":"1566_CR30","doi-asserted-by":"crossref","first-page":"2201","DOI":"10.1080\/03081087.2019.1575328","volume":"68","author":"D Mosi\u0107","year":"2020","unstructured":"Mosi\u0107 D (2020) Maximal classes of operators determining some weighted generalized inverses. Linear Multilinear Algebra 68(11):2201\u20132220","journal-title":"Linear Multilinear Algebra"},{"issue":"2","key":"1566_CR31","doi-asserted-by":"crossref","first-page":"555","DOI":"10.4171\/JST\/207","volume":"8","author":"D Mosi\u0107","year":"2018","unstructured":"Mosi\u0107 D, Djordjevi\u0107 DS (2018) The gDMP inverse of Hilbert space operators. J Spectr Theor 8(2):555\u2013573","journal-title":"J Spectr Theor"},{"issue":"4","key":"1566_CR32","doi-asserted-by":"crossref","first-page":"627","DOI":"10.1080\/03081087.2019.1612834","volume":"69","author":"F Pablos Romo","year":"2021","unstructured":"Pablos Romo F (2021) On Drazin-Moore-Penrose inverses of finite potent endomorphisms. Linear Multilinear Algebra 69(4):627\u2013647","journal-title":"Linear Multilinear Algebra"},{"key":"1566_CR33","doi-asserted-by":"crossref","first-page":"726","DOI":"10.1016\/j.cam.2010.07.001","volume":"235","author":"ZY Peng","year":"2010","unstructured":"Peng ZY (2010) New matrix iterative methods for constraint solutions of the matrix equation $$AXB = C$$. J Comput Appl Math 235:726\u2013735","journal-title":"J Comput Appl Math"},{"key":"1566_CR34","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1016\/0024-3795(91)90018-R","volume":"146","author":"KM Prasad","year":"1991","unstructured":"Prasad KM, Rao KPSB, Bapat RB (1991) Generalized inverses over integral domains. II. Group inverses and Drazin inverses. Linear Algebra Appl 146:31\u201347","journal-title":"Linear Algebra Appl"},{"key":"1566_CR35","first-page":"177","volume":"46","author":"UA Rauhala","year":"1980","unstructured":"Rauhala UA (1980) Introduction to array algebra. Photogramm Eng Remote Sens 46:177\u2013192","journal-title":"Photogramm Eng Remote Sens"},{"key":"1566_CR36","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1137\/1031127","volume":"31","author":"PA Regalia","year":"1989","unstructured":"Regalia PA, Mitra SK (1989) Kronecker products, unitary matrices and signal processing applications. SIAM Rev 31:586\u2013613","journal-title":"SIAM Rev"},{"key":"1566_CR37","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1016\/j.cam.2016.09.043","volume":"313","author":"JR Sendra","year":"2017","unstructured":"Sendra JR, Sendra J (2017) Computation of Moore-Penrose generalized inverses of matrices with meromorphic function entries. Appl Math Comput 313:355\u2013366","journal-title":"Appl Math Comput"},{"key":"1566_CR38","doi-asserted-by":"crossref","first-page":"1422","DOI":"10.1016\/j.camwa.2007.05.011","volume":"54","author":"X Sheng","year":"2007","unstructured":"Sheng X, Chen G (2007) Full-rank representation of generalized inverse $$A_{T, S}^{(2)}$$ and its applications. Comput Math Appl 54:1422\u20131430","journal-title":"Comput Math Appl"},{"key":"1566_CR39","doi-asserted-by":"crossref","first-page":"2473","DOI":"10.1007\/s00006-017-0782-2","volume":"27","author":"G-J Song","year":"2017","unstructured":"Song G-J, Yu S (2017) The solution of a generalized Sylvester quaternion matrix equation and its application. Adv Appl Clifford Algebras 27:2473\u20132492","journal-title":"Adv Appl Clifford Algebras"},{"key":"1566_CR40","doi-asserted-by":"crossref","first-page":"221","DOI":"10.5486\/PMD.1999.1823","volume":"54","author":"PS Stanimirovi\u0107","year":"1999","unstructured":"Stanimirovi\u0107 PS (1999) General determinantal representation of generalized inverses over integral domains. Publ Math Debrecen 54:221\u2013249","journal-title":"Publ Math Debrecen"},{"key":"1566_CR41","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1016\/S0024-3795(00)00075-6","volume":"311","author":"PS Stanimirovi\u0107","year":"2000","unstructured":"Stanimirovi\u0107 PS, Djordjevi\u0107 DS (2000) Full-rank and determinantal representation of the Drazin inverse. Linear Algebra Appl 311:31\u201351","journal-title":"Linear Algebra Appl"},{"key":"1566_CR42","doi-asserted-by":"crossref","first-page":"877","DOI":"10.1142\/S1005386712000740","volume":"19","author":"PS Stanimirovi\u0107","year":"2012","unstructured":"Stanimirovi\u0107 PS, Lj M (2012) Zlatanovi\u0107, Determinantal representation of outer inverses in Riemannian space. Algebra Colloq 19:877\u2013892","journal-title":"Algebra Colloq"},{"issue":"3","key":"1566_CR43","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1142\/S1005386706000368","volume":"13","author":"PS Stanimirovi\u0107","year":"2006","unstructured":"Stanimirovi\u0107 PS, Bogdanovi\u0107 S, \u0106iri\u0107 M (2006) Adjoint mappings and inverses of matrices. Algebra Colloq 13(3):421\u2013432","journal-title":"Algebra Colloq"},{"key":"1566_CR44","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/s11063-017-9705-4","volume":"48","author":"PS Stanimirovi\u0107","year":"2018","unstructured":"Stanimirovi\u0107 PS, Petkovi\u0107 MD, Gerontitis D (2018) Gradient neural network with nonlinear activation for computing inner inverses and the Drazin inverse. Neural Process Lett 48:109\u2013133","journal-title":"Neural Process Lett"},{"key":"1566_CR45","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1080\/0308108031000114631","volume":"51","author":"Y Tian","year":"2003","unstructured":"Tian Y (2003) Ranks of solutions of the matrix equation $$AX B = C$$. Linear Multilinear Algebra 51:111\u2013125","journal-title":"Linear Multilinear Algebra"},{"key":"1566_CR46","first-page":"552","volume":"20","author":"Q-W Wang","year":"2010","unstructured":"Wang Q-W, Jiang J (2010) Extreme ranks of (skew-)hermitian solutions to a quaternion matrix equation. Electron J Linear Algebra 20:552\u2013557","journal-title":"Electron J Linear Algebra"},{"key":"1566_CR47","doi-asserted-by":"crossref","first-page":"657","DOI":"10.1016\/j.camwa.2012.11.010","volume":"65","author":"X Wang","year":"2013","unstructured":"Wang X, Li Y, Dai L (2013) On Hermitian and skew-Hermitian splitting iteration methods for the linear matrix equation $$AXB = C$$. Comput Math Appl 65:657\u2013664","journal-title":"Comput Math Appl"},{"key":"1566_CR48","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1007\/s11063-017-9581-y","volume":"46","author":"XZ Wang","year":"2017","unstructured":"Wang XZ, Ma H, Stanimirovi\u0107 PS (2017) Nonlinearly activated recurrent neural network for computing the Drazin inverse. Neural Process Lett 46:195\u2013217","journal-title":"Neural Process Lett"},{"key":"1566_CR49","doi-asserted-by":"publisher","first-page":"28","DOI":"10.1007\/s40314-019-1007-1","volume":"39","author":"B Wang","year":"2020","unstructured":"Wang B, Du H, Ma H (2020) Perturbation bounds for DMP and CMP inverses of tensors via Einstein product. Comp Appl Math 39:28. https:\/\/doi.org\/10.1007\/s40314-019-1007-1","journal-title":"Comp Appl Math"},{"key":"1566_CR50","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1007\/s10092-015-0151-2","volume":"53","author":"A Yu","year":"2016","unstructured":"Yu A, Deng C (2016) Characterization of DMP inverse in Hilbert space. Calcolo 53:331\u2013341","journal-title":"Calcolo"},{"key":"1566_CR51","first-page":"1","volume":"4","author":"Y Yu","year":"2007","unstructured":"Yu Y, Wang G (2007) On the generalized inverse $$A_{T, S}^{(2)}$$ over integral domains. Austral J Math Anal Appl 4:1\u201320","journal-title":"Austral J Math Anal Appl"},{"key":"1566_CR52","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1080\/03081080701871665","volume":"57","author":"Y Yu","year":"2009","unstructured":"Yu Y, Wei Y (2009) Determinantal representation of the generalized inverse $$A_{T, S}^{(2)}$$ over integral domains and its applications. Linear Multilinear Algebra 57:547\u2013559","journal-title":"Linear Multilinear Algebra"},{"key":"1566_CR53","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1016\/j.amc.2018.03.085","volume":"333","author":"M Zhou","year":"2018","unstructured":"Zhou M, Chen J (2018) Integral representations of two generalized core inverses. Appl Math Comput 333:187\u2013193","journal-title":"Appl Math Comput"},{"issue":"4","key":"1566_CR54","doi-asserted-by":"crossref","first-page":"756","DOI":"10.1080\/03081087.2018.1432546","volume":"67","author":"H Zhu","year":"2019","unstructured":"Zhu H (2019) On DMP inverses and m-EP elements in rings. Linear Multilinear Algebra 67(4):756\u2013766","journal-title":"Linear Multilinear Algebra"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-021-01566-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40314-021-01566-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-021-01566-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,5]],"date-time":"2023-11-05T10:42:27Z","timestamp":1699180947000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40314-021-01566-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,6,28]]},"references-count":54,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2021,7]]}},"alternative-id":["1566"],"URL":"https:\/\/doi.org\/10.1007\/s40314-021-01566-8","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"value":"2238-3603","type":"print"},{"value":"1807-0302","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,6,28]]},"assertion":[{"value":"23 March 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 June 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 June 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 June 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"177"}}