Bigradients and the Problem of Routh and Hurwitz

Previous article Next article Bigradients and the Problem of Routh and HurwitzA. S. HouseholderA. S. Householderhttps://doi.org/10.1137/1010003PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] A. Cohn, Über die Anzahl der Wurzeln einer algebraischen Gleichung in einem Kreise, Math. Z., 14 (1922), 110–148 10.1007/BF01215894 MR1544543 CrossrefGoogle Scholar[2] Adolf Hurwitz, Ueber die Bedingungen, unter welchen eine Gleichung nur Wurzeln mit negativen reellen Theilen besitzt, Math. Ann., 46 (1895), 273–284 10.1007/BF01446812 MR1510884 CrossrefGoogle Scholar[3] Morris Marden, Geometry of polynomials, Second edition. Mathematical Surveys, No. 3, American Mathematical Society, Providence, R.I., 1966xiii+243 MR0225972 0162.37101 Google Scholar[4] Eugen Netto, Zur Theorie der Resultanten, J. Reine Angew. Math., 116 (1896), 33–49, 117 (1897), pp. 57–71 Google Scholar[5] Luciano Orlando, Sul problema di Hurwitz relativo alle parti reali delle radici di un' equazione algebrica, Math. Ann., 71 (1911), 233–245 10.1007/BF01456650 MR1511650 CrossrefGoogle Scholar[6] I. Schur, Über algebraische Gleichungen, die nur Wurzeln mit negatives Realteilen besitzen, Z. Angew. Math. Mech., 1 (1921), 307–311 CrossrefGoogle Scholar[7] Nicola Trudi, Teoria de' determinants a loro applicazioni, Libreria Scientifica a Industrials de B. Pellerano, Napoli, 1862 Google Scholar[8] H. S. Wall, Analytic Theory of Continued Fractions, D. Van Nostrand Company, Inc., New York, N. Y., 1948xiii+433 MR0025596 0035.03601 Google Scholar[9] H. 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Duffin18 July 2006 | SIAM Review, Vol. 11, No. 2AbstractPDF (1440 KB) Volume 10, Issue 1| 1968SIAM Review History Submitted:25 September 1967Published online:18 July 2006 InformationCopyright © 1968 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1010003Article page range:pp. 56-66ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics