{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T04:51:46Z","timestamp":1743137506174,"version":"3.40.3"},"publisher-location":"Cham","reference-count":21,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031417238"},{"type":"electronic","value":"9783031417245"}],"license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023]]},"DOI":"10.1007\/978-3-031-41724-5_9","type":"book-chapter","created":{"date-parts":[[2023,8,23]],"date-time":"2023-08-23T07:02:38Z","timestamp":1692774158000},"page":"162-182","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Range Functions of\u00a0Any Convergence Order and\u00a0Their Amortized Complexity Analysis"],"prefix":"10.1007","author":[{"given":"Kai","family":"Hormann","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chee","family":"Yap","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ya Shi","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,8,24]]},"reference":[{"issue":"2","key":"9_CR1","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1016\/j.jsc.2011.08.022","volume":"47","author":"M Burr","year":"2012","unstructured":"Burr, M., Krahmer, F.: SqFreeEVAL: an (almost) optimal real-root isolation algorithm. J. Symb. Comput. 47(2), 153\u2013166 (2012)","journal-title":"J. Symb. Comput."},{"key":"9_CR2","unstructured":"Core Library homepage: Software download, source, documentation and links (1999). https:\/\/cs.nyu.edu\/exact\/core_pages\/svn-core.html"},{"issue":"3","key":"9_CR3","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1007\/BF02242276","volume":"33","author":"H Cornelius","year":"1984","unstructured":"Cornelius, H., Lohner, R.: Computing the range of values of real functions with accuracy higher than second order. Computing 33(3), 331\u2013347 (1984)","journal-title":"Computing"},{"key":"9_CR4","doi-asserted-by":"crossref","unstructured":"Du, Z., Eleftheriou, M., Moreira, J., Yap, C.: Hypergeometric functions in exact geometric computation. In: Brattka, V., Schoeder, M., Weihrauch, K. (eds.) Proceedings of 5th Workshop on Computability and Complexity in Analysis, pp. 55\u201366 (2002)","DOI":"10.1016\/S1571-0661(04)80378-5"},{"key":"9_CR5","unstructured":"Du, Z., Yap, C.: Uniform complexity of approximating hypergeometric functions with absolute error. In: Pae, S., Park, H. (eds.) Proceedings of 7th Asian Symposium on Computer Math, pp. 246\u2013249 (2006)"},{"key":"9_CR6","doi-asserted-by":"crossref","unstructured":"Fousse, L., Hanrot, G., Lef\u00e8vre, V., P\u00e9lissier, P., Zimmermann, P.: MPFR: a multiple-precision binary floating-point library with correct rounding. ACM Trans. Math. Softw. 33(2), Article 13, 15 (2007). https:\/\/www.mpfr.org","DOI":"10.1145\/1236463.1236468"},{"key":"9_CR7","unstructured":"Granlund, T.: The GMP development team: GNU MP: The GNU Multiple Precision Arithmetic Library, 6.2.1. edn. (2020). https:\/\/gmplib.org\/"},{"key":"9_CR8","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718027","volume-title":"Accuracy and Stability of Numerical Algorithms","author":"NJ Higham","year":"2002","unstructured":"Higham, N.J.: Accuracy and Stability of Numerical Algorithms, 2nd edn. Society for Industrial and Applied Mathematics, Philadelphia (2002)","edition":"2"},{"key":"9_CR9","doi-asserted-by":"crossref","unstructured":"Hormann, K., Kania, L., Yap, C.: Novel range functions via taylor expansions and recursive lagrange interpolation with application to real root isolation. In: International Symposium Symbolic and Algebraic Comp. (46th ISSAC), pp. 193\u2013200 (2021)","DOI":"10.1145\/3452143.3465532"},{"issue":"3","key":"9_CR10","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/3328732","volume":"45","author":"F Johansson","year":"2019","unstructured":"Johansson, F.: Computing hypergeometric functions rigorously. ACM Trans. Math. Softw. 45(3), 1\u201326 (2019)","journal-title":"ACM Trans. Math. Softw."},{"key":"9_CR11","volume-title":"Interval Methods for Systems of Equations","author":"A Neumaier","year":"1990","unstructured":"Neumaier, A.: Interval Methods for Systems of Equations. Cambridge University Press, Cambridge (1990)"},{"issue":"5","key":"9_CR12","doi-asserted-by":"publisher","first-page":"656","DOI":"10.1137\/0717055","volume":"17","author":"H Ratschek","year":"1980","unstructured":"Ratschek, H.: Centered forms. SIAM J. Num. Anal. 17(5), 656\u2013662 (1980)","journal-title":"SIAM J. Num. Anal."},{"key":"9_CR13","volume-title":"Computer Methods for the Range of Functions","author":"H Ratschek","year":"1984","unstructured":"Ratschek, H., Rokne, J.: Computer Methods for the Range of Functions. Horwood Publishing Limited, Chichester (1984)"},{"key":"9_CR14","doi-asserted-by":"crossref","unstructured":"Revol, N., Rouillier, F.: Motivations for an arbitrary precision interval arithmetic and the MPFI library. Reliable Comput. 11(4), 275\u2013290 (2005). https:\/\/gitlab.inria.fr\/mpfi\/mpfi","DOI":"10.1007\/s11155-005-6891-y"},{"issue":"1","key":"9_CR15","doi-asserted-by":"publisher","first-page":"25","DOI":"10.1006\/jath.1995.1003","volume":"80","author":"A Shadrin","year":"1995","unstructured":"Shadrin, A.: Error bounds for Lagrange interpolation. J. Approx. Theory 80(1), 25\u201349 (1995)","journal-title":"J. Approx. Theory"},{"key":"9_CR16","doi-asserted-by":"crossref","unstructured":"Sharma, V., Yap, C.: Near optimal tree size bounds on a simple real root isolation algorithm. In: 37th International Symposium Symbolic and Algebraic Computation (ISSAC 2012), pp. 319\u2013326 (2012)","DOI":"10.1145\/2442829.2442875"},{"key":"9_CR17","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719574","volume-title":"Numerical Linear Algebra","author":"LN Trefethen","year":"1997","unstructured":"Trefethen, L.N., Bau, D.: Numerical Linear Algebra. Society for Industrial and Applied Mathematics, Philadelphia (1997)"},{"issue":"4","key":"9_CR18","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1007\/s003659900055","volume":"13","author":"SF Waldron","year":"1997","unstructured":"Waldron, S.F.: $$L_p$$-error bounds for Hermite interpolation and the associated Wirtinger inequalities. J. Constr. Approx. 13(4), 461\u2013479 (1997)","journal-title":"J. Constr. Approx."},{"key":"9_CR19","doi-asserted-by":"crossref","unstructured":"Xu, J., Yap, C.: Effective subdivision algorithm for isolating zeros of real systems of equations, with complexity analysis. In: International Symposium Symbolic and Algebraic Computation (44th ISSAC), pp. 355\u2013362 (2019)","DOI":"10.1145\/3326229.3326270"},{"key":"9_CR20","doi-asserted-by":"crossref","unstructured":"Yap, C.K.: On guaranteed accuracy computation. In: Chen, F., Wang, D. (eds.) Geometric Computation, Chap. 12, pp. 322\u2013373. World Scientific Publishing Co., Singapore (2004)","DOI":"10.1142\/9789812794833_0012"},{"key":"9_CR21","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1007\/978-3-642-15582-6_24","volume-title":"Mathematical Software \u2013 ICMS 2010","author":"J Yu","year":"2010","unstructured":"Yu, J., Yap, C., Du, Z., Pion, S., Br\u00f6nnimann, H.: The design of core 2: a library for exact numeric computation in geometry and algebra. In: Fukuda, K., Hoeven, J., Joswig, M., Takayama, N. (eds.) ICMS 2010. LNCS, vol. 6327, pp. 121\u2013141. Springer, Heidelberg (2010). https:\/\/doi.org\/10.1007\/978-3-642-15582-6_24"}],"container-title":["Lecture Notes in Computer Science","Computer Algebra in Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-41724-5_9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,23]],"date-time":"2023-08-23T07:04:59Z","timestamp":1692774299000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-41724-5_9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023]]},"ISBN":["9783031417238","9783031417245"],"references-count":21,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-41724-5_9","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2023]]},"assertion":[{"value":"24 August 2023","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"CASC","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Workshop on Computer Algebra in Scientific Computing","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Havana","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Cuba","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2023","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"28 August 2023","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"1 September 2023","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"25","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"casc2023","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/casc-conference.org\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"29","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":"22","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":"76% - 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":"3.17","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":"1.41","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","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)"}}]}}