{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,14]],"date-time":"2026-02-14T09:52:34Z","timestamp":1771062754417,"version":"3.50.1"},"publisher-location":"Cham","reference-count":29,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783030727918","type":"print"},{"value":"9783030727925","type":"electronic"}],"license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021]]},"DOI":"10.1007\/978-3-030-72792-5_45","type":"book-chapter","created":{"date-parts":[[2021,4,26]],"date-time":"2021-04-26T20:34:22Z","timestamp":1619469262000},"page":"572-581","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Block-Diagonal and Anti-block-Diagonal Splitting Iteration Method for Absolute Value Equation"],"prefix":"10.1007","author":[{"given":"Cui-Xia","family":"Li","sequence":"first","affiliation":[]},{"given":"Shi-Liang","family":"Wu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,4,27]]},"reference":[{"key":"45_CR1","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1080\/0308108042000220686","volume":"52","author":"J Rohn","year":"2004","unstructured":"Rohn, J.: A theorem of the alternatives for the equation $$Ax+B|x|=b$$. Linear Multilinear A. 52, 421\u2013426 (2004)","journal-title":"Linear Multilinear A."},{"key":"45_CR2","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1007\/s10589-006-0395-5","volume":"36","author":"OL Mangasarian","year":"2007","unstructured":"Mangasarian, O.L.: Absolute value programming. Comput. Optim. Appl. 36, 43\u201353 (2007)","journal-title":"Comput. Optim. Appl."},{"key":"45_CR3","doi-asserted-by":"publisher","first-page":"359","DOI":"10.1016\/j.laa.2006.05.004","volume":"419","author":"OL Mangasarian","year":"2006","unstructured":"Mangasarian, O.L., Meyer, R.R.: Absolute value equations. Linear Algebra Appl. 419, 359\u2013367 (2006)","journal-title":"Linear Algebra Appl."},{"key":"45_CR4","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1016\/j.apnum.2018.05.017","volume":"132","author":"S-L Wu","year":"2018","unstructured":"Wu, S.-L., Guo, P.: Modulus-based matrix splitting algorithms for the quasi-complementarity problems. Appl. Numer. Math. 132, 127\u2013137 (2018)","journal-title":"Appl. Numer. Math."},{"key":"45_CR5","volume-title":"The Linear Complementarity Problem","author":"RW Cottle","year":"1992","unstructured":"Cottle, R.W., Pang, J.-S., Stone, R.E.: The Linear Complementarity Problem. Academic, San Diego (1992)"},{"key":"45_CR6","first-page":"589","volume":"18","author":"J Rohn","year":"2009","unstructured":"Rohn, J.: An algorithm for solving the absolute value equations. Electron. J. Linear Algebra. 18, 589\u2013599 (2009)","journal-title":"Electron. J. Linear Algebra."},{"issue":"1","key":"45_CR7","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1007\/s11590-012-0560-y","volume":"8","author":"J Rohn","year":"2012","unstructured":"Rohn, J., Hooshyarbakhsh, V., Farhadsefat, R.: An iterative method for solving absolute value equations and sufficient conditions for unique solvability. Optimization Letters 8(1), 35\u201344 (2012). https:\/\/doi.org\/10.1007\/s11590-012-0560-y","journal-title":"Optimization Letters"},{"key":"45_CR8","doi-asserted-by":"publisher","first-page":"2191","DOI":"10.1007\/s11590-014-0727-9","volume":"8","author":"DK Salkuyeh","year":"2014","unstructured":"Salkuyeh, D.K.: The Picard-HSS iteration method for absolute value equations. Optim. Lett. 8, 2191\u20132202 (2014)","journal-title":"Optim. Lett."},{"key":"45_CR9","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1007\/s11590-008-0094-5","volume":"3","author":"OL Mangasarian","year":"2009","unstructured":"Mangasarian, O.L.: A generalized Newton method for absolute value equations. Optim. Lett. 3, 101\u2013108 (2009)","journal-title":"Optim. Lett."},{"key":"45_CR10","doi-asserted-by":"publisher","first-page":"1490","DOI":"10.1016\/j.cam.2010.08.036","volume":"235","author":"S-L Hu","year":"2011","unstructured":"Hu, S.-L., Huang, Z.-H., Zhang, Q.: A generalized Newton method for absolute value equations associated with second order cones. J. Comput. Appl. Math. 235, 1490\u20131501 (2011)","journal-title":"J. Comput. Appl. Math."},{"key":"45_CR11","doi-asserted-by":"publisher","first-page":"206","DOI":"10.1016\/j.apnum.2018.08.019","volume":"135","author":"CT Nguyena","year":"2019","unstructured":"Nguyena, C.T., Saheyab, B., Chang, Y.-L., Chen, J.-S.: Unified smoothing functions for absolute value equation associated with second-order cone. Appl. Numer. Math. 135, 206\u2013227 (2019)","journal-title":"Appl. Numer. Math."},{"issue":"7","key":"45_CR12","doi-asserted-by":"publisher","first-page":"1469","DOI":"10.1007\/s11590-015-0893-4","volume":"9","author":"OL Mangasarian","year":"2015","unstructured":"Mangasarian, O.L.: A hybrid algorithm for solving the absolute value equation. Optimization Letters 9(7), 1469\u20131474 (2015). https:\/\/doi.org\/10.1007\/s11590-015-0893-4","journal-title":"Optimization Letters"},{"key":"45_CR13","doi-asserted-by":"publisher","first-page":"603","DOI":"10.1137\/S0895479801395458","volume":"24","author":"Z-Z Bai","year":"2003","unstructured":"Bai, Z.-Z., Golub, G.H., Ng, M.K.: Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. SIAM J. Matrix Anal. Appl. 24, 603\u2013626 (2003)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"45_CR14","doi-asserted-by":"publisher","first-page":"2923","DOI":"10.1016\/j.apnum.2009.06.005","volume":"59","author":"Z-Z Bai","year":"2009","unstructured":"Bai, Z.-Z., Yang, X.: On HSS-based iteration methods for weakly nonlinear systems. Appl. Numer. Math. 59, 2923\u20132936 (2009)","journal-title":"Appl. Numer. Math."},{"key":"45_CR15","unstructured":"Zhu, M.-Z., Zhang, G.-F., Liang, Z.-Z.: The nonlinear HSS-like iteration method for absolute value equations, arXiv.org:1403.7013v2 [math.NA] Jan 2, 2018"},{"key":"45_CR16","doi-asserted-by":"publisher","first-page":"360","DOI":"10.1137\/080723181","volume":"31","author":"M Benzi","year":"2009","unstructured":"Benzi, M.: A generalization of the Hermitian and skew-Hermitian splitting iteration. SIAM J. Matrix Anal. Appl. 31, 360\u2013374 (2009)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"45_CR17","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1016\/j.aml.2017.08.012","volume":"76","author":"S-L Wu","year":"2018","unstructured":"Wu, S.-L., Li, C.-X.: The unique solution of the absolute value equations. Appl. Math. Lett. 76, 195\u2013200 (2018)","journal-title":"Appl. Math. Lett."},{"key":"45_CR18","doi-asserted-by":"publisher","first-page":"424","DOI":"10.1016\/j.cam.2008.10.006","volume":"228","author":"S-L Wu","year":"2009","unstructured":"Wu, S.-L., Huang, T.-Z., Zhao, X.-L.: A modified SSOR iterative method for augmented systems. J. Comput. Appl. Math. 228, 424\u2013433 (2009)","journal-title":"J. Comput. Appl. Math."},{"key":"45_CR19","doi-asserted-by":"publisher","first-page":"1171","DOI":"10.2478\/s11533-011-0067-2","volume":"9","author":"A-X Wang","year":"2011","unstructured":"Wang, A.-X., Wang, H.-J., Deng, Y.-K.: Interval algorithm for absolute value equations. Centr. Eur. J. Math. 9, 1171\u20131184 (2011)","journal-title":"Centr. Eur. J. Math."},{"key":"45_CR20","doi-asserted-by":"publisher","first-page":"1882","DOI":"10.1016\/j.camwa.2012.03.015","volume":"64","author":"S Ketabchi","year":"2012","unstructured":"Ketabchi, S., Moosaei, H.: An efficient method for optimal correcting of absolute value equations by minimal changes in the right hand side. Comput. Math. Appl. 64, 1882\u20131885 (2012)","journal-title":"Comput. Math. Appl."},{"key":"45_CR21","doi-asserted-by":"publisher","first-page":"391","DOI":"10.1007\/s10957-009-9557-9","volume":"143","author":"C Zhang","year":"2009","unstructured":"Zhang, C., Wei, Q.-J.: Global and finite convergence of a generalized newton method for absolute value equations. J. Optim. Theory. Appl. 143, 391\u2013403 (2009)","journal-title":"J. Optim. Theory. Appl."},{"key":"45_CR22","doi-asserted-by":"publisher","unstructured":"Li, C.-X.: A preconditioned AOR iterative method for the absolute value equations. Int. J. Comput. Meth. (2017) https:\/\/doi.org\/10.1142\/S0219876217500165","DOI":"10.1142\/S0219876217500165"},{"key":"45_CR23","unstructured":"Ortega, J.M., Rheinboldt, W.C.: Iterative Solution of Nonlinear Equations in Several Variables. Academic Press, New York (1970)"},{"issue":"5","key":"45_CR24","doi-asserted-by":"publisher","first-page":"928","DOI":"10.1109\/JSAC.2020.2980919","volume":"38","author":"D-D Jiang","year":"2020","unstructured":"Jiang, D.-D., Wang, Y.-Q., Lv, Z.-H., Wang, W.-J., Wang, H.-H.: An energy-efficient networking approach in cloud services for IIoT networks. IEEE J. Sel. Area. Comn. 38(5), 928\u2013941 (2020)","journal-title":"IEEE J. Sel. Area. Comn."},{"issue":"1","key":"45_CR25","doi-asserted-by":"publisher","first-page":"507","DOI":"10.1109\/TNSE.2018.2877597","volume":"7","author":"D-D Jiang","year":"2020","unstructured":"Jiang, D.-D., Wang, W.-J., Shi, L., Song, H.-B.: A compressive sensing-based approach to end-to-end network traffic reconstruction. IEEE T. Netw. Sci. Eng. 7(1), 507\u2013519 (2020)","journal-title":"IEEE T. Netw. Sci. Eng."},{"issue":"1","key":"45_CR26","doi-asserted-by":"publisher","first-page":"80","DOI":"10.1109\/TNSE.2018.2861388","volume":"7","author":"D-D Jiang","year":"2020","unstructured":"Jiang, D.-D., Huo, L.-W., Song, H.-B.: Rethinking behaviors and activities of base stations in mobile cellular networks based on big data analysis. IEEE T. Netw. Sci. Eng. 7(1), 80\u201390 (2020)","journal-title":"IEEE T. Netw. Sci. Eng."},{"key":"45_CR27","unstructured":"Jiang D.-D., Wang Y.-Q., Lv Z.-H., Qi S., Singh S.: Big data analysis based network behavior insight of cellular networks for industry 4.0 applications. IEEE T. Ind. Inform. 16(2), 1310\u20131320 (2020)"},{"issue":"10","key":"45_CR28","doi-asserted-by":"publisher","first-page":"3305","DOI":"10.1109\/TITS.2017.2778939","volume":"19","author":"D-D Jiang","year":"2018","unstructured":"Jiang, D.-D., Huo, L.-W., Lv, Z.-H., Song, H.-B., Qin, W.-D.: A joint multi-criteria utility-based network selection approach for vehicle-to-infrastructure networking. IEEE T Intell. Transp. 19(10), 3305\u20133319 (2018)","journal-title":"IEEE T Intell. Transp."},{"issue":"5","key":"45_CR29","first-page":"1","volume":"13","author":"D-D Jiang","year":"2018","unstructured":"Jiang, D.-D., Huo, L.-W., Li, Y.: Fine-granularity inference and estimations to network traffic for SDN. Plos One. 13(5), 1\u201323 (2018)","journal-title":"Plos One."}],"container-title":["Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering","Simulation Tools and Techniques"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-72792-5_45","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,26]],"date-time":"2021-04-26T22:31:55Z","timestamp":1619476315000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-72792-5_45"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783030727918","9783030727925"],"references-count":29,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-72792-5_45","relation":{},"ISSN":["1867-8211","1867-822X"],"issn-type":[{"value":"1867-8211","type":"print"},{"value":"1867-822X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"27 April 2021","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"SIMUtools","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Simulation Tools and Techniques","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Guiyang","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"China","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2020","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"28 August 2020","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"29 August 2020","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"12","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"simutools2020","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/simutools.eai-conferences.org\/2020\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Double-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Confy +","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"354","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"125","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"35% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Due to COVID 19 pandemic the conference was held virtually.","order":10,"name":"additional_info_on_review_process","label":"Additional Info on Review Process","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}