{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,30]],"date-time":"2024-10-30T19:00:11Z","timestamp":1730314811762,"version":"3.28.0"},"publisher-location":"New York, NY, USA","reference-count":20,"publisher":"ACM","content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2009,7,28]]},"DOI":"10.1145\/1576702.1576727","type":"proceedings-article","created":{"date-parts":[[2009,7,28]],"date-time":"2009-07-28T12:45:28Z","timestamp":1248785128000},"page":"167-174","update-policy":"http:\/\/dx.doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":5,"title":["A new algorithm for computing certified numerical approximations of the roots of a zero-dimensional system"],"prefix":"10.1145","author":[{"given":"Stef","family":"Graillat","sequence":"first","affiliation":[{"name":"UPMC\/CNRS LIP6, Paris, France"}]},{"given":"Philippe","family":"Tr\u00e9buchet","sequence":"additional","affiliation":[{"name":"UPMC\/CNRS LIP6, Paris, France"}]}],"member":"320","published-online":{"date-parts":[[2009,7,28]]},"reference":[{"key":"e_1_3_2_1_1_1","unstructured":"GMP the GNU Multi-Precision library. Available at URL = http:\/\/www.swox.com\/gmp\/. GMP the GNU Multi-Precision library. Available at URL = http:\/\/www.swox.com\/gmp\/."},{"volume-title":"S. Ostrouchov, and D. Sorensen. LAPACK Users' Guide","year":"1992","author":"Anderson E.","key":"e_1_3_2_1_2_1","unstructured":"E. Anderson , Z. Bai , C. Bischof , J. Demmel , J. Dongarra , J. Du Croz , A. Greenbaum , S. Hammarling an A. McKenney , S. Ostrouchov, and D. Sorensen. LAPACK Users' Guide . SIAM , Philadelphia , 1992 . http:\/\/www.netlib.org\/lapack\/. E. Anderson, Z. Bai, C. Bischof, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling an A. McKenney, S. Ostrouchov, and D. Sorensen. LAPACK Users' Guide. SIAM, Philadelphia, 1992. http:\/\/www.netlib.org\/lapack\/."},{"key":"e_1_3_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0129053389000068"},{"volume-title":"Curie","year":"1996","author":"Chesneaux Jean-Marie","key":"e_1_3_2_1_4_1","unstructured":"Jean-Marie Chesneaux , Stéphane Guilain, and Jean Vignes . La bibliothèque CADNA : présentation et utilisation. Manual, Laboratoire d'Informatique de Paris 6, Université P. et M . Curie , Paris, France , November 1996 . Available at URL = http:\/\/www-pequan.lip6.fr\/cadna\/, (in French). Jean-Marie Chesneaux, Stéphane Guilain, and Jean Vignes. La bibliothèque CADNA : présentation et utilisation. Manual, Laboratoire d'Informatique de Paris 6, Université P. et M. Curie, Paris, France, November 1996. Available at URL = http:\/\/www-pequan.lip6.fr\/cadna\/, (in French)."},{"key":"e_1_3_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1145\/258726.258767"},{"key":"e_1_3_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1145\/242961.242968"},{"key":"e_1_3_2_1_7_1","series-title":"Mathématiques & Applications (Berlin) {Mathematics & Applications}","volume-title":"Introduction à","author":"Elkadi Mohamed","year":"2007","unstructured":"Mohamed Elkadi and Bernard Mourrain . Introduction à ; la résolution des systèmes polynomiaux, volume 59 of Mathématiques & Applications (Berlin) {Mathematics & Applications} . Springer , Berlin , 2007 . Mohamed Elkadi and Bernard Mourrain. Introduction à la résolution des systèmes polynomiaux, volume 59 of Mathématiques & Applications (Berlin) {Mathematics & Applications}. Springer, Berlin, 2007."},{"key":"e_1_3_2_1_8_1","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898718027","volume-title":"Accuracy and stability of numerical algorithms","author":"Higham Nicholas J.","year":"2002","unstructured":"Nicholas J. Higham . Accuracy and stability of numerical algorithms . Society for Industrial and Applied Mathematics (SIAM) , Philadelphia, PA , second edition, 2002 . Nicholas J. Higham. Accuracy and stability of numerical algorithms. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, second edition, 2002."},{"key":"e_1_3_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1145\/242961.242965"},{"key":"e_1_3_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1007\/s002110050122"},{"key":"e_1_3_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.2001.0476"},{"key":"e_1_3_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1145\/1073884.1073920"},{"key":"e_1_3_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(00)00272-X"},{"key":"e_1_3_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.1007\/s002000050114"},{"key":"e_1_3_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(00)00279-2"},{"issue":"4","key":"e_1_3_2_1_16_1","first-page":"823","article-title":"Rump and Jens-Peter M. Zemke. On eigenvector bounds","volume":"43","author":"Siegfried","year":"2003","unstructured":"Siegfried M . Rump and Jens-Peter M. Zemke. On eigenvector bounds . BIT , 43 ( 4 ): 823 -- 837 , 2003 . Siegfried M. Rump and Jens-Peter M. Zemke. On eigenvector bounds. BIT, 43(4):823--837, 2003.","journal-title":"BIT"},{"key":"e_1_3_2_1_17_1","doi-asserted-by":"publisher","DOI":"10.1145\/242961.242966"},{"key":"e_1_3_2_1_18_1","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898718058","volume-title":"Matrix algorithms","author":"Stewart G. W.","year":"2001","unstructured":"G. W. Stewart . Matrix algorithms . Vol. II . Society for Industrial and Applied Mathematics (SIAM) , Philadelphia, PA , 2001 . Eigensystems. G. W. Stewart. Matrix algorithms. Vol. II. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2001. Eigensystems."},{"key":"e_1_3_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1145\/317275.317286"},{"key":"e_1_3_2_1_20_1","doi-asserted-by":"publisher","DOI":"10.1016\/0378-4754(93)90003-D"}],"event":{"name":"ISSAC '09: International Symposium on Symbolic and Algebraic Computation","sponsor":["ACM Association for Computing Machinery","SIGSAM ACM Special Interest Group on Symbolic and Algebraic Manipulation"],"location":"Seoul Republic of Korea","acronym":"ISSAC '09"},"container-title":["Proceedings of the 2009 international symposium on Symbolic and algebraic computation"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1576702.1576727","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,11]],"date-time":"2023-01-11T19:37:19Z","timestamp":1673465839000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1576702.1576727"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,7,28]]},"references-count":20,"alternative-id":["10.1145\/1576702.1576727","10.1145\/1576702"],"URL":"https:\/\/doi.org\/10.1145\/1576702.1576727","relation":{},"subject":[],"published":{"date-parts":[[2009,7,28]]},"assertion":[{"value":"2009-07-28","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}