{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:13:04Z","timestamp":1750306384915,"version":"3.41.0"},"publisher-location":"New York, NY, USA","reference-count":31,"publisher":"ACM","license":[{"start":{"date-parts":[[2015,7,10]],"date-time":"2015-07-10T00:00:00Z","timestamp":1436486400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["ACI-1460032"],"award-info":[{"award-number":["ACI-1460032"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000185","name":"Defense Advanced Research Projects Agency","doi-asserted-by":"publisher","award":["YFA 2013"],"award-info":[{"award-number":["YFA 2013"]}],"id":[{"id":"10.13039\/100000185","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000879","name":"Alfred P. Sloan Foundation","doi-asserted-by":"publisher","award":["Sloan Research Fellowship"],"award-info":[{"award-number":["Sloan Research Fellowship"]}],"id":[{"id":"10.13039\/100000879","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2015,7,10]]},"DOI":"10.1145\/2790282.2790288","type":"proceedings-article","created":{"date-parts":[[2015,7,10]],"date-time":"2015-07-10T14:10:55Z","timestamp":1436537455000},"page":"53-60","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["A hybrid symbolic-numeric approach to exceptional sets of generically zero-dimensional systems"],"prefix":"10.1145","author":[{"given":"Jonathan D.","family":"Hauenstein","sequence":"first","affiliation":[{"name":"University of Notre Dame"}]},{"suffix":"Jr.","given":"Alan C.","family":"Liddell","sequence":"additional","affiliation":[{"name":"University of Notre Dame"}]}],"member":"320","published-online":{"date-parts":[[2015,7,10]]},"reference":[{"key":"e_1_3_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2014.07.034"},{"key":"e_1_3_2_1_2_1","unstructured":"D. J. Bates D. A. Brake J. D. Hauenstein A. J. Sommese and C. W. Wampler. Homotopies for connected components of algebraic sets with application to computing critical sets. Preprint available at www.nd.edu\/~jhauenst\/preprints\/bbhswCritical.pdf.  D. J. Bates D. A. Brake J. D. Hauenstein A. J. Sommese and C. W. Wampler. Homotopies for connected components of algebraic sets with application to computing critical sets. Preprint available at www.nd.edu\/~jhauenst\/preprints\/bbhswCritical.pdf."},{"key":"e_1_3_2_1_3_1","first-page":"55","volume-title":"Approximate Commutative Algebra","author":"Bates D. J.","year":"2010"},{"key":"e_1_3_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1137\/08073264X"},{"key":"e_1_3_2_1_5_1","unstructured":"D. J. Bates J. D. Hauenstein A. J. Sommese and C. W. Wampler. Bertini: software for numerical algebraic geometry. Available at bertini.nd.edu.  D. J. Bates J. D. Hauenstein A. J. Sommese and C. W. Wampler. Bertini: software for numerical algebraic geometry. Available at bertini.nd.edu."},{"key":"e_1_3_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2014.07.035"},{"key":"e_1_3_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1145\/1073884.1073902"},{"key":"e_1_3_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/496\/09725"},{"key":"e_1_3_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4939-0626-0_6"},{"key":"e_1_3_2_1_10_1","first-page":"179","volume":"5","author":"Griffis M.","year":"1993","journal-title":"US Patent"},{"key":"e_1_3_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1145\/2513109.2513114"},{"key":"e_1_3_2_1_12_1","unstructured":"J. D. Hauenstein. Algebraic computations using Macaulay dual spaces. Preprint available at www.nd.edu\/~jhauenst\/preprints\/hAlgComputations.pdf.  J. D. Hauenstein. Algebraic computations using Macaulay dual spaces. Preprint available at www.nd.edu\/~jhauenst\/preprints\/hAlgComputations.pdf."},{"key":"e_1_3_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2010.08.067"},{"key":"e_1_3_2_1_14_1","unstructured":"J. D. Hauenstein and C. W. Wampler. Unification and extension of intersection algorithms in numerical algebraic geometry. Preprint available at www.nd.edu\/~jhauenst\/preprints\/hwGeneralIntersection.pdf.  J. D. Hauenstein and C. W. Wampler. Unification and extension of intersection algorithms in numerical algebraic geometry. Preprint available at www.nd.edu\/~jhauenst\/preprints\/hwGeneralIntersection.pdf."},{"key":"e_1_3_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2014.09.035"},{"key":"e_1_3_2_1_16_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechmachtheory.2013.08.004"},{"key":"e_1_3_2_1_17_1","doi-asserted-by":"publisher","DOI":"10.1109\/ROBOT.2000.844032"},{"volume-title":"Numerical algorithms for detecting embedded components. arXiv:1405.7871","year":"2014","author":"Krone R.","key":"e_1_3_2_1_18_1"},{"key":"e_1_3_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1145\/1390768.1390793"},{"key":"e_1_3_2_1_20_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-75155-9_5"},{"key":"e_1_3_2_1_21_1","doi-asserted-by":"publisher","DOI":"10.1145\/1993886.1993925"},{"key":"e_1_3_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1115\/1.2826119"},{"key":"e_1_3_2_1_23_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-4049(97)00023-6"},{"key":"e_1_3_2_1_24_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cagd.2014.02.012"},{"key":"e_1_3_2_1_25_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-007-0230-5"},{"key":"e_1_3_2_1_26_1","doi-asserted-by":"publisher","DOI":"10.1142\/5763"},{"key":"e_1_3_2_1_27_1","doi-asserted-by":"publisher","DOI":"10.5555\/993487"},{"volume-title":"Analysis of zero clusters in multivariate polynomial systems. Diploma Thesis","year":"1996","author":"Thallinger G. H.","key":"e_1_3_2_1_28_1"},{"key":"e_1_3_2_1_29_1","first-page":"94","article-title":"A study of overconstrained linkage geometry by solution of the closure equations -- Part I. Method of study","volume":"8","author":"Waldron K.","year":"1973","journal-title":"Mech. Mach. Theory"},{"key":"e_1_3_2_1_30_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492911000067"},{"key":"e_1_3_2_1_31_1","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/496\/09733"}],"event":{"name":"PASCO '15: International Workshop on Parallel Symbolic Computation","sponsor":["MapleSoft","HPC@LR Centre de Comp\u00e9tences en calcul haute performance du Languedoc Roussillon","SIGSAM ACM Special Interest Group on Symbolic and Algebraic Manipulation","ANR Agence Nationale pour la Recherche","University of Bath University of Bath"],"location":"Bath United Kingdom","acronym":"PASCO '15"},"container-title":["Proceedings of the 2015 International Workshop on Parallel Symbolic Computation"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2790282.2790288","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/2790282.2790288","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T05:07:06Z","timestamp":1750223226000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2790282.2790288"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,7,10]]},"references-count":31,"alternative-id":["10.1145\/2790282.2790288","10.1145\/2790282"],"URL":"https:\/\/doi.org\/10.1145\/2790282.2790288","relation":{},"subject":[],"published":{"date-parts":[[2015,7,10]]},"assertion":[{"value":"2015-07-10","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}