{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,12]],"date-time":"2024-09-12T00:43:15Z","timestamp":1726101795997},"publisher-location":"Cham","reference-count":23,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030600259"},{"type":"electronic","value":"9783030600266"}],"license":[{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"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":[[2020]]},"DOI":"10.1007\/978-3-030-60026-6_33","type":"book-chapter","created":{"date-parts":[[2020,10,17]],"date-time":"2020-10-17T20:02:36Z","timestamp":1602964956000},"page":"563-582","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers"],"prefix":"10.1007","author":[{"given":"Simon","family":"Telen","sequence":"first","affiliation":[]},{"given":"Marc","family":"Van Barel","sequence":"additional","affiliation":[]},{"given":"Jan","family":"Verschelde","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,10,2]]},"reference":[{"key":"33_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1007\/978-3-319-02297-0_2","volume-title":"Computer Algebra in Scientific Computing","author":"D Adrovic","year":"2013","unstructured":"Adrovic, D., Verschelde, J.: Polyhedral methods for space curves exploiting symmetry applied to the cyclic n-roots problem. In: Gerdt, V.P., Koepf, W., Mayr, E.W., Vorozhtsov, E.V. (eds.) CASC 2013. LNCS, vol. 8136, pp. 10\u201329. Springer, Cham (2013). https:\/\/doi.org\/10.1007\/978-3-319-02297-0_2"},{"key":"33_CR2","unstructured":"Backelin, J.: Square multiples n give infinitely many cyclic n-roots. Reports, Matematiska Institutionen 8, Stockholms universitet (1989)"},{"issue":"2","key":"33_CR3","doi-asserted-by":"publisher","first-page":"722","DOI":"10.1137\/060658862","volume":"46","author":"DJ Bates","year":"2008","unstructured":"Bates, D.J., Hauenstein, J.D., Sommese, A.J., Wampler, C.W.: Adaptive multiprecision path tracking. SIAM J. Numer. Anal. 46(2), 722\u2013746 (2008)","journal-title":"SIAM J. Numer. Anal."},{"key":"33_CR4","doi-asserted-by":"crossref","unstructured":"Bates, D.J., Hauenstein, J.D., Sommese, A.J., Wampler, C.W.: Numerically Solving Polynomial Systems with Bertini, vol. 25. SIAM (2013)","DOI":"10.1137\/1.9781611972702"},{"key":"33_CR5","doi-asserted-by":"publisher","first-page":"569","DOI":"10.1016\/j.laa.2017.10.022","volume":"542","author":"N Bliss","year":"2018","unstructured":"Bliss, N., Verschelde, J.: The method of Gauss-Newton to compute power series solutions of polynomial homotopies. Linear Algebra Appl. 542, 569\u2013588 (2018)","journal-title":"Linear Algebra Appl."},{"key":"33_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"458","DOI":"10.1007\/978-3-319-96418-8_54","volume-title":"Mathematical Software \u2013 ICMS 2018","author":"P Breiding","year":"2018","unstructured":"Breiding, P., Timme, S.: HomotopyContinuation.jl: a package for homotopy continuation in Julia. In: Davenport, J.H., Kauers, M., Labahn, G., Urban, J. (eds.) ICMS 2018. LNCS, vol. 10931, pp. 458\u2013465. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-96418-8_54"},{"key":"33_CR7","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1093\/imanum\/12.2.135","volume":"12","author":"B Christianson","year":"1992","unstructured":"Christianson, B.: Automatic Hessians by reverse accumulation. IMA J. Numer. Anal. 12, 135\u2013150 (1992)","journal-title":"IMA J. Numer. Anal."},{"key":"33_CR8","unstructured":"Davenport, J.H.: Looking at a set of equations. Bath Computer Science Technical report 87\u201306 (1987)"},{"key":"33_CR9","doi-asserted-by":"crossref","unstructured":"Fabry, E.: Sur les points singuliers d\u2019une fonction donn\u00e9e par son d\u00e9veloppement en s\u00e9rie et l\u2019impossibilit\u00e9 du prolongement analytique dans des cas tr\u00e8s g\u00e9n\u00e9raux. In: Annales scientifiques de l\u2019\u00c9cole Normale Sup\u00e9rieure, vol. 13, pp. 367\u2013399. Elsevier (1896)","DOI":"10.24033\/asens.431"},{"key":"33_CR10","doi-asserted-by":"publisher","first-page":"86","DOI":"10.1016\/j.laa.2015.06.019","volume":"484","author":"H F\u00fchr","year":"2015","unstructured":"F\u00fchr, H., Rzeszotnik, Z.: On biunimodular vectors for unitary matrices. Linear Algebra Appl. 484, 86\u2013129 (2015)","journal-title":"Linear Algebra Appl."},{"key":"33_CR11","doi-asserted-by":"crossref","unstructured":"Griewank, A., Walther, A.: Evaluating derivatives: principles and techniques of algorithmic differentiation, vol. 105. SIAM (2008)","DOI":"10.1137\/1.9780898717761"},{"key":"33_CR12","unstructured":"Hida, Y., Li, X.S., Bailey, D.H.: Algorithms for quad-double precision floating point arithmetic. In: The Proceedings of the 15th IEEE Symposium on Computer Arithmetic (Arith-15 2001), pp. 155\u2013162. IEEE Computer Society (2001)"},{"key":"33_CR13","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s10208-008-9024-2","volume":"9","author":"G Jeronimo","year":"2009","unstructured":"Jeronimo, G., Matera, G., Solern\u00f3, P., Waissbein, A.: Deformation techniques for sparse systems. Found. Comput. Math. 9, 1\u201350 (2009)","journal-title":"Found. Comput. Math."},{"key":"33_CR14","first-page":"110","volume-title":"New Trends in Magnetism","author":"S Katsura","year":"1990","unstructured":"Katsura, S.: Spin glass problem by the method of integral equation of the effective field. In: Coutinho-Filho, M., Resende, S. (eds.) New Trends in Magnetism, pp. 110\u2013121. World Scientific, London (1990)"},{"key":"33_CR15","doi-asserted-by":"crossref","unstructured":"Li, T., Tsai, C.: HOM4PS-2.0para: Parallelization of HOM4PS-2.0 for solving polynomial systems. Parallel Comput. 35(4), 226\u2013238 (2009)","DOI":"10.1016\/j.parco.2008.12.003"},{"key":"33_CR16","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511973345","volume-title":"Building Parallel, Embedded, and Real-Time Applications with Ada","author":"JW McCormick","year":"2011","unstructured":"McCormick, J.W., Singhoff, F., Hugues, J.: Building Parallel, Embedded, and Real-Time Applications with Ada. Cambridge University Press, Cambridge (2011)"},{"issue":"3","key":"33_CR17","doi-asserted-by":"publisher","first-page":"572","DOI":"10.1006\/jcom.2000.0554","volume":"16","author":"AJ Sommese","year":"2000","unstructured":"Sommese, A.J., Verschelde, J.: Numerical homotopies to compute generic points on positive dimensional algebraic sets. J. Complexity 16(3), 572\u2013602 (2000)","journal-title":"J. Complexity"},{"key":"33_CR18","unstructured":"Telen, S., Van Barel, M., Verschelde, J.: A robust numerical path tracking algorithm for polynomial homotopy continuation. arXiv:1909.04984"},{"key":"33_CR19","doi-asserted-by":"crossref","unstructured":"Trias, A.: The holomorphic embedding load flow method. In: 2012 IEEE Power and Energy Society General Meeting, pp. 1\u20138. IEEE (2012)","DOI":"10.1109\/PESGM.2012.6344759"},{"issue":"2","key":"33_CR20","doi-asserted-by":"publisher","first-page":"322","DOI":"10.1109\/TCSI.2015.2512723","volume":"63","author":"A Trias","year":"2016","unstructured":"Trias, A., Martin, J.L.: The holomorphic embedding loadflow method for DC power systems and nonlinear DC circuits. IEEE Trans. Circuits Syst. 63(2), 322\u2013333 (2016)","journal-title":"IEEE Trans. Circuits Syst."},{"issue":"2","key":"33_CR21","doi-asserted-by":"publisher","first-page":"251","DOI":"10.1145\/317275.317286","volume":"25","author":"J Verschelde","year":"1999","unstructured":"Verschelde, J.: Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation. ACM Trans. Math. Softw. (TOMS) 25(2), 251\u2013276 (1999)","journal-title":"ACM Trans. Math. Softw. (TOMS)"},{"key":"33_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"361","DOI":"10.1007\/978-3-319-99639-4_25","volume-title":"Computer Algebra in Scientific Computing","author":"J Verschelde","year":"2018","unstructured":"Verschelde, J.: A blackbox polynomial system solver on\u00a0parallel shared memory computers. In: Gerdt, V.P., Koepf, W., Seiler, W.M., Vorozhtsov, E.V. (eds.) CASC 2018. LNCS, vol. 11077, pp. 361\u2013375. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-319-99639-4_25"},{"key":"33_CR23","doi-asserted-by":"crossref","unstructured":"Verschelde, J., Yu, X.: Accelerating polynomial homotopy continuation on a graphics processing unit with double double and quad double arithmetic. In: Proceedings of the 7th International Workshop on Parallel Symbolic Computation (PASCO 2015), pp. 109\u2013118. ACM (2015)","DOI":"10.1145\/2790282.2790294"}],"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\/978-3-030-60026-6_33","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,24]],"date-time":"2021-04-24T07:56:24Z","timestamp":1619250984000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-60026-6_33"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020]]},"ISBN":["9783030600259","9783030600266"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-60026-6_33","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2020]]},"assertion":[{"value":"2 October 2020","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":"Linz","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Austria","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":"14 September 2020","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"18 September 2020","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"22","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"casc2020","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/www.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":"41","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":"34","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":"83% - 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":"5.6","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)"}},{"value":"The conference was held virtually due to the COVID-19 pandemic. Two invited talks are also included.","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)"}}]}}