{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T21:58:54Z","timestamp":1743026334750,"version":"3.40.3"},"publisher-location":"Cham","reference-count":18,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783031147876"},{"type":"electronic","value":"9783031147883"}],"license":[{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"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":[[2022]]},"DOI":"10.1007\/978-3-031-14788-3_3","type":"book-chapter","created":{"date-parts":[[2022,8,10]],"date-time":"2022-08-10T14:24:42Z","timestamp":1660141482000},"page":"29-50","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Subresultant Chains Using B\u00e9zout Matrices"],"prefix":"10.1007","author":[{"given":"Mohammadali","family":"Asadi","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1294-9710","authenticated-orcid":false,"given":"Alexander","family":"Brandt","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2161-6803","authenticated-orcid":false,"given":"David J.","family":"Jeffrey","sequence":"additional","affiliation":[]},{"given":"Marc Moreno","family":"Maza","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,8,11]]},"reference":[{"issue":"10","key":"3_CR1","doi-asserted-by":"publisher","first-page":"1223","DOI":"10.1080\/00207160412331284178","volume":"81","author":"J Abdeljaoued","year":"2004","unstructured":"Abdeljaoued, J., Diaz-Toca, G.M., Gonzalez-Vega, L.: Minors of B\u00e9zout matrices, subresultants and the parameterization of the degree of the polynomial greatest common divisor. Int. J. Comput. Math. 81(10), 1223\u20131238 (2004)","journal-title":"Int. J. Comput. Math."},{"issue":"2","key":"3_CR2","first-page":"588","volume":"214","author":"J Abdeljaoued","year":"2009","unstructured":"Abdeljaoued, J., Diaz-Toca, G.M., Gonz\u00e1lez-Vega, L.: B\u00e9zout matrices, subresultant polynomials and parameters. Appl. Math. Comput. 214(2), 588\u2013594 (2009)","journal-title":"Appl. Math. Comput."},{"key":"3_CR3","unstructured":"Asadi, M., et al.: Basic Polynomial Algebra Subprograms (BPAS) (2021). http:\/\/www.bpaslib.org"},{"key":"3_CR4","doi-asserted-by":"crossref","unstructured":"Asadi, M., Brandt, A., Moir, R.H.C., Moreno Maza, M., Xie, Y.: Parallelization of triangular decompositions: techniques and implementation. J. Symb. Comput. (2021, to appear)","DOI":"10.1016\/j.jsc.2022.08.015"},{"key":"3_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1007\/978-3-030-85165-1_3","volume-title":"Computer Algebra in Scientific Computing","author":"M Asadi","year":"2021","unstructured":"Asadi, M., Brandt, A., Moreno Maza, M.: Computational schemes for subresultant chains. In: Boulier, F., England, M., Sadykov, T.M., Vorozhtsov, E.V. (eds.) CASC 2021. LNCS, vol. 12865, pp. 21\u201341. Springer, Cham (2021). https:\/\/doi.org\/10.1007\/978-3-030-85165-1_3"},{"issue":"103","key":"3_CR6","first-page":"565","volume":"22","author":"EH Bareiss","year":"1968","unstructured":"Bareiss, E.H.: Sylvester\u2019s identity and multistep integer-preserving Gaussian elimination. Math. Comput. 22(103), 565\u2013578 (1968)","journal-title":"Math. Comput."},{"key":"3_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0265-3","volume-title":"Polynomial and Matrix Computations: Fundamental Algorithms","author":"D Bini","year":"2012","unstructured":"Bini, D., Pan, V.Y.: Polynomial and Matrix Computations: Fundamental Algorithms. Springer, New York (2012). https:\/\/doi.org\/10.1007\/978-1-4612-0265-3"},{"issue":"6","key":"3_CR8","doi-asserted-by":"publisher","first-page":"610","DOI":"10.1016\/j.jsc.2011.12.023","volume":"47","author":"C Chen","year":"2012","unstructured":"Chen, C., Moreno Maza, M.: Algorithms for computing triangular decomposition of polynomial systems. J. Symb. Comput. 47(6), 610\u2013642 (2012)","journal-title":"J. Symb. Comput."},{"issue":"3\u20134","key":"3_CR9","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1007\/s00200-004-0158-4","volume":"15","author":"GM Diaz-Toca","year":"2004","unstructured":"Diaz-Toca, G.M., Gonzalez-Vega, L.: Various new expressions for subresultants and their applications. Appl. Algebra Eng. Commun. Comput. 15(3\u20134), 233\u2013266 (2004). https:\/\/doi.org\/10.1007\/s00200-004-0158-4","journal-title":"Appl. Algebra Eng. Commun. Comput."},{"issue":"2","key":"3_CR10","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1016\/S0022-4049(98)00081-4","volume":"145","author":"L Ducos","year":"2000","unstructured":"Ducos, L.: Optimizations of the subresultant algorithm. J. Pure Appl. Algebra 145(2), 149\u2013163 (2000)","journal-title":"J. Pure Appl. Algebra"},{"key":"3_CR11","doi-asserted-by":"crossref","unstructured":"von zur Gathen, J., Gerhard, J.: Modern Computer Algebra, 3rd edn. Cambridge University Press, Cambridge (2013)","DOI":"10.1017\/CBO9781139856065"},{"key":"3_CR12","doi-asserted-by":"publisher","DOI":"10.1007\/b102438","volume-title":"Algorithms for Computer Algebra","author":"KO Geddes","year":"1992","unstructured":"Geddes, K.O., Czapor, S.R., Labahn, G.: Algorithms for Computer Algebra. Springer, New York (1992). https:\/\/doi.org\/10.1007\/b102438"},{"key":"3_CR13","doi-asserted-by":"crossref","unstructured":"Hou, X., Wang, D.: Subresultants with the B\u00e9zout matrix. In: Computer Mathematics, pp. 19\u201328. World Scientific (2000)","DOI":"10.1142\/9789812791962_0003"},{"issue":"1\/2","key":"3_CR14","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/1838599.1838602","volume":"44","author":"DJ Jeffrey","year":"2010","unstructured":"Jeffrey, D.J.: LU factoring of non-invertible matrices. ACM Commun. Comput. Algebra 44(1\/2), 1\u20138 (2010)","journal-title":"ACM Commun. Comput. Algebra"},{"issue":"12","key":"3_CR15","doi-asserted-by":"publisher","first-page":"2186","DOI":"10.1080\/00207160802460595","volume":"86","author":"M Kerber","year":"2009","unstructured":"Kerber, M.: Division-free computation of subresultants using B\u00e9zout matrices. Int. J. Comput. Math. 86(12), 2186\u20132200 (2009)","journal-title":"Int. J. Comput. Math."},{"issue":"3","key":"3_CR16","doi-asserted-by":"publisher","first-page":"96","DOI":"10.1145\/1113439.1113456","volume":"39","author":"F Lemaire","year":"2005","unstructured":"Lemaire, F., Moreno Maza, M., Xie, Y.: The RegularChains library in Maple. ACM SIGSAM Bull. 39(3), 96\u201397 (2005)","journal-title":"ACM SIGSAM Bull."},{"issue":"1","key":"3_CR17","first-page":"471","volume":"183","author":"YB Li","year":"2006","unstructured":"Li, Y.B.: A new approach for constructing subresultants. Appl. Math. Comput. 183(1), 471\u2013476 (2006)","journal-title":"Appl. Math. Comput."},{"key":"3_CR18","volume-title":"Applied Linear Algebra","author":"PJ Olver","year":"2006","unstructured":"Olver, P.J., Shakiban, C.: Applied Linear Algebra. Prentice Hall, Upper Saddle River (2006)"}],"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\/978-3-031-14788-3_3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,8,11]],"date-time":"2022-08-11T23:15:34Z","timestamp":1660259734000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-14788-3_3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022]]},"ISBN":["9783031147876","9783031147883"],"references-count":18,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-14788-3_3","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2022]]},"assertion":[{"value":"11 August 2022","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":"Gebze","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Turkey","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2022","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"22 August 2022","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"26 August 2022","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"24","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"casc2022","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":"32","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":"20","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":"63% - 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":"3.25","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":"5.1","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)"}}]}}