Bezoutiants, Elimination and Localization

Previous article Next article Bezoutiants, Elimination and LocalizationA. S. HouseholderA. S. Householderhttps://doi.org/10.1137/1012003PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Erwin H. Bareiss, Sylvester's identity and multistep integer-preserving Gaussian elimination, Math. Comp., 22 (1968), 565–578 MR0226829 0187.09701 ISIGoogle Scholar[2] H. Cremer and , F. H. Effertz, Über die algebraischen Kriterien für die Stabilität von Regelungssystemen, Math. Ann., 137 (1959), 328–350 10.1007/BF01360969 MR0104684 0092.01604 CrossrefISIGoogle Scholar[3] Gaston Darboux, Sur la théorie de l'élimination entre deux équations à une inconnue, Bull. Sci. Math., 10 (1876), 56–64 Google Scholar[4] Gaston Darboux, Sur l'élimination entre deux équations algébriques à une inconnue, Bull. Sci. Math., 2 (1877), 54–64 Google Scholar[5] Matsusaburo Fujiwara, Über die algebraischen Gleichungen, deren Wurzeln in einem Kreise oder in einer Halbebene liegen, Math. Z., 24 (1926), 161–169 10.1007/BF01216772 MR1544753 CrossrefGoogle Scholar[6] C. Hermite, Sur le nombre des racines d'une équation algébrique comprise entre des limites données, J. Reine Angew. Math., 52 (1856), 39–51 CrossrefGoogle Scholar[7] Alston S. Householder, Bigradients and the problem of Routh and Hurwitz, SIAM Rev., 10 (1968), 56–66 10.1137/1010003 MR0229805 0169.09003 LinkISIGoogle Scholar[8] Alston S. Householder, The numerical treatment of a single nonlinear equation, McGraw-Hill Book Co., New York, 1970viii+216 MR0388759 0242.65047 Google Scholar[9] S. Y. Ku and , R. J. Adler, Computing polynomial resultants: Bézout's determinant vs Collins' reduced P.R.S. algorithm, Comm. ACM, 12 (1969), 23–30 10.1145/362835.362839 MR0279996 0181.17501 CrossrefISIGoogle Scholar[10] A. Liénart and , M. H. 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