{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,5]],"date-time":"2025-12-05T12:24:05Z","timestamp":1764937445537,"version":"3.37.3"},"reference-count":51,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2022,8,11]],"date-time":"2022-08-11T00:00:00Z","timestamp":1660176000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,8,11]],"date-time":"2022-08-11T00:00:00Z","timestamp":1660176000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"173 Program","award":["2020-JCJQ-ZD-029"],"award-info":[{"award-number":["2020-JCJQ-ZD-029"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["CCF Trans. HPC"],"published-print":{"date-parts":[[2023,6]]},"DOI":"10.1007\/s42514-022-00117-9","type":"journal-article","created":{"date-parts":[[2022,8,11]],"date-time":"2022-08-11T10:04:11Z","timestamp":1660212251000},"page":"116-128","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["A parallel structured banded DC algorithm for symmetric eigenvalue problems"],"prefix":"10.1007","volume":"5","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7827-6304","authenticated-orcid":false,"given":"Shengguo","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xia","family":"Liao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yutong","family":"Lu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jose E.","family":"Roman","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaoqiang","family":"Yue","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,8,11]]},"reference":[{"issue":"3","key":"117_CR1","doi-asserted-by":"publisher","first-page":"477","DOI":"10.1007\/s10915-013-9714-z","volume":"57","author":"S Ambikasaran","year":"2013","unstructured":"Ambikasaran, S., Darve, E.: An $${\\cal{O} }(n\\log n)$$ fast direct solver for partial hierarchically semi-separable matrices. J. Sci. Comput. 57(3), 477\u2013501 (2013)","journal-title":"J. Sci. Comput."},{"key":"117_CR2","doi-asserted-by":"publisher","first-page":"1105","DOI":"10.1016\/0167-8191(92)90059-G","volume":"18","author":"P Arbenz","year":"1992","unstructured":"Arbenz, P.: Divide-and-conquer algorithms for the bandsymmetric eigenvalue problem. Parallel Comput. 18, 1105\u20131128 (1992)","journal-title":"Parallel Comput."},{"issue":"12","key":"117_CR3","doi-asserted-by":"publisher","first-page":"783","DOI":"10.1016\/j.parco.2011.05.002","volume":"37","author":"T Auckenthaler","year":"2011","unstructured":"Auckenthaler, T., Blum, V., Bungartz, H.J., Huckle, T., Johanni, R., Kr\u00e4mer, L., Lang, B., Lederer, H., Willems, P.R.: Parallel solution of partial symmetric eigenvalue problems from electronic structure calculations. Parallel Comput. 37(12), 783\u2013794 (2011)","journal-title":"Parallel Comput."},{"issue":"4","key":"117_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/1268776.1268780","volume":"33","author":"YH Bai","year":"2007","unstructured":"Bai, Y.H., Ward, R.C.: A parallel symmetric block-tridiagonal divide-and-conquer algorithm. ACM Trans. Math. Softw. 33(4), 1\u201323 (2007)","journal-title":"ACM Trans. Math. Softw."},{"issue":"4","key":"117_CR5","doi-asserted-by":"publisher","first-page":"581","DOI":"10.1145\/365723.365735","volume":"26","author":"CH Bischof","year":"2000","unstructured":"Bischof, C.H., Lang, B., Sun, X.: A framework for symmetric band reduction. ACM Trans. Math. Softw. 26(4), 581\u2013601 (2000)","journal-title":"ACM Trans. Math. Softw."},{"issue":"4","key":"117_CR6","doi-asserted-by":"publisher","first-page":"602","DOI":"10.1145\/365723.365736","volume":"26","author":"CH Bischof","year":"2000","unstructured":"Bischof, C.H., Lang, B., Sun, X.B.: Algorithm 807: the SBR toolbox-software for successive band reduction. ACM Trans. Math. Softw. 26(4), 602\u2013616 (2000)","journal-title":"ACM Trans. Math. Softw."},{"key":"117_CR7","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1007\/BF01396012","volume":"31","author":"JR Bunch","year":"1978","unstructured":"Bunch, J.R., Nielsen, C.P., Sorensen, D.C.: Rank one modification of the symmetric eigenproblem. Numer. Math. 31, 31\u201348 (1978)","journal-title":"Numer. Math."},{"key":"117_CR8","unstructured":"Cannon, L.E.: A Cellular Computer to Implement the Kalman Filter Algorithm. Ph.D. thesis, College of Engineering, Montana State Univesity (1969)"},{"key":"117_CR9","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1137\/S0895479802405884","volume":"27","author":"S Chandrasekaran","year":"2005","unstructured":"Chandrasekaran, S., Dewilde, P., Gu, M., Pals, T., Sun, X., van der Veen, A.J., White, D.: Some fast algorithms for sequentially semiseparable representation. SIAM J. Matrix Anal. Appl. 27, 341\u2013364 (2005)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"117_CR10","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1137\/050639028","volume":"29","author":"S Chandrasekaran","year":"2006","unstructured":"Chandrasekaran, S., Dewilde, P., Gu, M., Lyons, W., Pals, T.: A fast solver for HSS representations via sparse matrices. SIAM J. Matrix Anal. Appl. 29, 67\u201381 (2006)","journal-title":"SIAM J. Matrix Anal. Appl."},{"issue":"7","key":"117_CR11","doi-asserted-by":"publisher","first-page":"543","DOI":"10.1002\/cpe.4330060702","volume":"6","author":"J Choi","year":"1994","unstructured":"Choi, J., Walker, D.W., Dongarra, J.J.: Pumma: Parallel universal matrix multiplication algorithms on distributed memory concurrent computers. Concurr. Comput. Pract. Exper. 6(7), 543\u2013570 (1994)","journal-title":"Concurr. Comput. Pract. Exper."},{"key":"117_CR12","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1007\/BF01396757","volume":"36","author":"JJM Cuppen","year":"1981","unstructured":"Cuppen, J.J.M.: A divide and conquer method for the symmetric tridiagonal eigenproblem. Numer. Math. 36, 177\u2013195 (1981)","journal-title":"Numer. Math."},{"issue":"1","key":"117_CR13","doi-asserted-by":"publisher","first-page":"1:1","DOI":"10.1145\/2049662.2049663","volume":"38","author":"T Davis","year":"2011","unstructured":"Davis, T., Hu, Y.: The University of Florida sparse matrix collection. ACM Trans. Math. Softw. 38(1), 1:1-1:25 (2011)","journal-title":"ACM Trans. Math. Softw."},{"key":"117_CR14","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611971446","volume-title":"Applied Numerical Linear Algebra","author":"J Demmel","year":"1997","unstructured":"Demmel, J.: Applied Numerical Linear Algebra. SIAM, Philadelphia (1997)"},{"key":"117_CR15","unstructured":"Dhillon, I.S.: A New $$o(n^2)$$ Algorithm for the Symmetric Tridiagonal Eigenvalue\/Eigenvector Problem. Ph.D. thesis, Computer Science Division, University of California, Berkeley, California (1997)"},{"key":"117_CR16","doi-asserted-by":"publisher","first-page":"293","DOI":"10.1007\/BF01300581","volume":"34","author":"Y Eidelman","year":"1999","unstructured":"Eidelman, Y., Gohberg, I.: On a new class of structured matrices. Integr. Eqn. Oper. Theory 34, 293\u2013324 (1999)","journal-title":"Integr. Eqn. Oper. Theory"},{"issue":"1","key":"117_CR17","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1016\/0167-8191(87)90060-3","volume":"4","author":"GC Fox","year":"1987","unstructured":"Fox, G.C., Otto, S.W., Hey, A.J.G.: Matrix algorithms on a hypercube I: matrix multiplication. Parallel Comput. 4(1), 17\u201331 (1987)","journal-title":"Parallel Comput."},{"issue":"4","key":"117_CR18","doi-asserted-by":"publisher","first-page":"332","DOI":"10.1093\/comjnl\/4.4.332","volume":"4","author":"JG Francis","year":"1962","unstructured":"Francis, J.G.: The QR transformation-part 2. Comput. J. 4(4), 332\u2013345 (1962)","journal-title":"Comput. J."},{"key":"117_CR19","doi-asserted-by":"crossref","unstructured":"Gansterer, W.N., Ward, R.C., Muller, R.P., III, W.A.G.: Computing approximate eigenpairs of symmetric block tridiagonal matrices. SIAM J. Sci. Comput. 25, 65\u201385 (2003)","DOI":"10.1137\/S1064827501399432"},{"issue":"1","key":"117_CR20","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1145\/513001.513004","volume":"28","author":"WN Gansterer","year":"2002","unstructured":"Gansterer, W.N., Ward, R.C., Muller, R.P.: An extension of the divide-and-conquer method for a class of symmetric block-tridiagonal eigenproblems. ACM Trans. Math. Softw. 28(1), 45\u201358 (2002)","journal-title":"ACM Trans. Math. Softw."},{"key":"117_CR21","unstructured":"Gu, M.: Studies in Numerical Linear Algebra. Ph.D. thesis, Department of Computer Science, Yale University, New Haven, CT (1993)"},{"key":"117_CR22","doi-asserted-by":"publisher","first-page":"1266","DOI":"10.1137\/S089547989223924X","volume":"15","author":"M Gu","year":"1994","unstructured":"Gu, M., Eisenstat, S.C.: A stable and efficient algorithm for the rank-one modification of the symmetric eigenproblem. SIAM J. Matrix Anal. Appl. 15, 1266\u20131276 (1994)","journal-title":"SIAM J. Matrix Anal. Appl."},{"issue":"1","key":"117_CR23","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1137\/S0895479892242232","volume":"16","author":"M Gu","year":"1995","unstructured":"Gu, M., Eisenstat, S.C.: A divide-and-conquer algorithm for the bidiagonal SVD. SIAM J. Matrix Anal. Appl. 16(1), 79\u201392 (1995)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"117_CR24","doi-asserted-by":"publisher","first-page":"172","DOI":"10.1137\/S0895479892241287","volume":"16","author":"M Gu","year":"1995","unstructured":"Gu, M., Eisenstat, S.C.: A divide-and-conquer algorithm for the symmetric tridiagonal eigenproblem. SIAM J. Matrix Anal. Appl. 16, 172\u2013191 (1995)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"117_CR25","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1007\/s006070050015","volume":"62","author":"W Hackbusch","year":"1999","unstructured":"Hackbusch, W.: A sparse matrix arithmetic based on $${\\cal{H}}$$-matrices. Part I: introduction to $${\\cal{H}}$$-matrices. Computing 62, 89\u2013108 (1999)","journal-title":"Computing"},{"key":"117_CR26","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00607-002-1450-4","volume":"69","author":"W Hackbusch","year":"2002","unstructured":"Hackbusch, W., B\u00f6rm, S.: Data-sparse approximation by adaptive $${\\cal{H} }^2$$-matrices. Computing 69, 1\u201335 (2002)","journal-title":"Computing"},{"key":"117_CR27","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1007\/s00607-002-1470-0","volume":"70","author":"LGW Hackbusch","year":"2003","unstructured":"Hackbusch, L.G.W., Khoromskij, B.: Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices. Computing 70, 121\u2013165 (2003)","journal-title":"Computing"},{"issue":"6","key":"117_CR28","doi-asserted-by":"publisher","first-page":"C249","DOI":"10.1137\/110823699","volume":"34","author":"A Haidar","year":"2012","unstructured":"Haidar, A., Ltaief, H., Dongarra, J.: Toward a high performance tile divide and conquer algorithm for the dense symmetric eigenvalue problem. SIAM J. Sci. Comput. 34(6), C249\u2013C274 (2012)","journal-title":"SIAM J. Sci. Comput."},{"key":"117_CR29","doi-asserted-by":"publisher","first-page":"643","DOI":"10.15669\/pnst.2.643","volume":"2","author":"T Imamura","year":"2011","unstructured":"Imamura, T., Yamada, S., Yoshida, M.: Development of a high-performance eigensolver on a peta-scale next-generation supercomputer system. Prog. Nucl. Sci. Technol. 2, 643\u2013650 (2011)","journal-title":"Prog. Nucl. Sci. Technol."},{"issue":"3","key":"117_CR30","doi-asserted-by":"publisher","first-page":"984","DOI":"10.1137\/16M1087278","volume":"38","author":"D Kressner","year":"2017","unstructured":"Kressner, D., Susnjara, A.: Fast computation of spectral projectors of banded matrices. SIAM J. Matrix Anal. Appl. 38(3), 984\u20131009 (2017)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"117_CR31","unstructured":"Li, S., Wu, X., Roman, J.E., Yuan, Z., Wang, R., Cheng, L.: A parallel direct eigensolver for sequences of hermitian eigenvalue problems with no tridiagonalization. https:\/\/arxiv.org\/abs\/2012.00506 (2020)"},{"issue":"3","key":"117_CR32","doi-asserted-by":"publisher","first-page":"1038","DOI":"10.1137\/130945995","volume":"35","author":"S Li","year":"2014","unstructured":"Li, S., Gu, M., Cheng, L., Chi, X., Sun, M.: An accelerated divide-and-conquer algorithm for the bidiagonal SVD problem. SIAM J. Matrix Anal. Appl. 35(3), 1038\u20131057 (2014)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"117_CR33","doi-asserted-by":"publisher","first-page":"512","DOI":"10.1016\/j.cam.2018.05.051","volume":"344","author":"S Li","year":"2018","unstructured":"Li, S., Rouet, F.H., Liu, J., Huang, C., Gao, X., Chi, X.: An efficient hybrid tridiagonal divide-and-conquer algorithm on distributed memory architectures. J. Comput. Appl. Math. 344, 512\u2013520 (2018)","journal-title":"J. Comput. Appl. Math."},{"issue":"3","key":"117_CR34","doi-asserted-by":"publisher","first-page":"345","DOI":"10.1007\/s11704-014-3501-3","volume":"8","author":"X Liao","year":"2014","unstructured":"Liao, X., Xiao, L., Yang, C., Lu, Y.: Milkyway-2 supercomputer: system and application. Front. Comput. Sci. 8(3), 345\u2013356 (2014)","journal-title":"Front. Comput. Sci."},{"issue":"2","key":"117_CR35","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1007\/s11390-015-1520-7","volume":"30","author":"X Liao","year":"2015","unstructured":"Liao, X., Pang, Z., Wang, K., Lu, Y., Xie, M., Xia, J., Dong, D., Suo, G.: High performance interconnect network for Tianhe system. J. Comput. Sci. Tech. 30(2), 259\u2013272 (2015)","journal-title":"J. Comput. Sci. Tech."},{"key":"117_CR36","doi-asserted-by":"publisher","first-page":"1933","DOI":"10.1016\/j.camwa.2016.03.008","volume":"71","author":"X Liao","year":"2016","unstructured":"Liao, X., Li, S., Cheng, L., Gu, M.: An improved divide-and-conquer algorithm for the banded matrices with narrow bandwidths. Comput. Math. Appl. 71, 1933\u20131943 (2016)","journal-title":"Comput. Math. Appl."},{"issue":"2","key":"117_CR37","doi-asserted-by":"publisher","first-page":"367","DOI":"10.1109\/TPDS.2020.3019471","volume":"32","author":"X Liao","year":"2021","unstructured":"Liao, X., Li, S., Lu, Y., Roman, J.E.: A parallel structured divide-and-conquer algorithm for symmetric tridiagonal eigenvalue problems. IEEE Trans. Parallel Distrib. Syst. 32(2), 367\u2013378 (2021)","journal-title":"IEEE Trans. Parallel Distrib. Syst."},{"key":"117_CR38","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1088\/0953-8984\/26\/21\/213201","volume":"26","author":"A Marek","year":"2014","unstructured":"Marek, A., Blum, V., Johanni, R., Havu, V., Lang, B., Auckenthaler, T., Heinecke, A., Bungartz, H., Lederer, H.: The ELPA library: scalable parallel eigenvalue solutions for electronic structure theory and computational science. J. Phys. Condens. Matter 26, 1\u201315 (2014)","journal-title":"J. Phys. Condens. Matter"},{"key":"117_CR39","volume-title":"Electronic Structure: Basic Theory and Practical Methods","author":"RM Martin","year":"2008","unstructured":"Martin, R.M.: Electronic Structure: Basic Theory and Practical Methods. Cambridge University Press, Cambridge (2008)"},{"key":"117_CR40","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611971163","volume-title":"The Symmetric Eigenvalue Problem","author":"BN Parlett","year":"1998","unstructured":"Parlett, B.N.: The Symmetric Eigenvalue Problem. SIAM, Philadelphia (1998)"},{"key":"117_CR41","first-page":"C1","volume":"35","author":"M Petschow","year":"2013","unstructured":"Petschow, M., Peise, E., Bientinesi, P.: High-performance solvers for dense Hermitian eigenproblems. SIAM J. Numer. Anal. 35, C1\u2013C22 (2013)","journal-title":"SIAM J. Numer. Anal."},{"key":"117_CR42","doi-asserted-by":"crossref","unstructured":"Pichon, G., Haidar, A., Faverge, M., Kurzak, J.: Divide and conquer symmetric tridiagonal eigensolver for multicore architectures. 2015 IEEE International Parallel and Distributed Processing Symposium pp. 51\u201360 (2015)","DOI":"10.1109\/IPDPS.2015.51"},{"key":"117_CR43","doi-asserted-by":"crossref","unstructured":"Rouet, F., Li, X., Ghysels, P., Napov, A.: A distributed-memory package for dense hierarchically semi-separable matrix computations using randomization. ACM Trans. Math. Softw. 42(4), 27:1\u201335 (2016)","DOI":"10.1145\/2930660"},{"key":"117_CR44","unstructured":"\u0160u\u0161njara, A., Kressner, D.: A Fast Spectral Divide-and-Conquer Method for Banded Matrices. arXiv preprint arXiv:1801.04175 (2018)"},{"issue":"6","key":"117_CR45","doi-asserted-by":"publisher","first-page":"2223","DOI":"10.1137\/S1064827598336951","volume":"20","author":"F Tisseur","year":"1999","unstructured":"Tisseur, F., Dongarra, J.: A parallel divide and conquer algorithm for the symmetric eigenvalue problem on distributed memory architectures. SIAM J. Sci. Comput. 20(6), 2223\u20132236 (1999)","journal-title":"SIAM J. Sci. Comput."},{"key":"117_CR46","doi-asserted-by":"publisher","DOI":"10.1353\/book.3417","volume-title":"Matrix Computations and Semiseparable Matrices, Volume I: linear systems","author":"R Vandebril","year":"2008","unstructured":"Vandebril, R., Van Barel, M., Mastronardi, N.: Matrix Computations and Semiseparable Matrices, Volume I: linear systems. Johns Hopkins University Press (2008)"},{"issue":"3","key":"117_CR47","doi-asserted-by":"publisher","first-page":"A1358","DOI":"10.1137\/15M1018812","volume":"38","author":"J Vogel","year":"2016","unstructured":"Vogel, J., Xia, J., Cauley, S., Balakrishnan, V.: Superfast divide-and-conquer method and perturbation analysis for structured eigenvalue solutions. SIAM J. Sci. Comput. 38(3), A1358\u2013A1382 (2016)","journal-title":"SIAM J. Sci. Comput."},{"key":"117_CR48","volume-title":"The Algebraic Eigenvalue Problem","author":"J Wilkinson","year":"1965","unstructured":"Wilkinson, J.: The Algebraic Eigenvalue Problem. Oxford University Press, New York (1965)"},{"issue":"2","key":"117_CR49","doi-asserted-by":"publisher","first-page":"A740","DOI":"10.1137\/110834020","volume":"35","author":"PR Willems","year":"2013","unstructured":"Willems, P.R., Lang, B.: A framework for the $$MR^3$$ algorithm: theory and implementation. SIAM J. Sci. Comput. 35(2), A740\u2013A766 (2013)","journal-title":"SIAM J. Sci. Comput."},{"key":"117_CR50","doi-asserted-by":"publisher","first-page":"1382","DOI":"10.1137\/09074543X","volume":"31","author":"J Xia","year":"2009","unstructured":"Xia, J., Chandrasekaran, S., Gu, M., Li, X.S.: Superfast multifrontal method for large structured linear systems of equation. SIAM J. Matrix Anal. Appl. 31, 1382\u20131411 (2009)","journal-title":"SIAM J. Matrix Anal. Appl."},{"issue":"2","key":"117_CR51","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/1236463.1236464","volume":"33","author":"H Zhang","year":"2007","unstructured":"Zhang, H., Smith, B., Sternberg, M., Zapol, P.: SIPs: shift-and-invert parallel spectral transformations. ACM Trans. Math. Softw. (TOMS) 33(2), 1\u201319 (2007)","journal-title":"ACM Trans. Math. Softw. (TOMS)"}],"container-title":["CCF Transactions on High Performance Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s42514-022-00117-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s42514-022-00117-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s42514-022-00117-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,26]],"date-time":"2023-06-26T10:29:14Z","timestamp":1687775354000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s42514-022-00117-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8,11]]},"references-count":51,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2023,6]]}},"alternative-id":["117"],"URL":"https:\/\/doi.org\/10.1007\/s42514-022-00117-9","relation":{},"ISSN":["2524-4922","2524-4930"],"issn-type":[{"type":"print","value":"2524-4922"},{"type":"electronic","value":"2524-4930"}],"subject":[],"published":{"date-parts":[[2022,8,11]]},"assertion":[{"value":"29 June 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 July 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 August 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}