対称行列
↑ Shilov 1974, p. 115.
↑ Horn & Johnson 1985, p. 209, Theorem 4.4.9.
↑ Shilov 1974, p. 154.
↑ Horn & Johnson 1985, p. 107, Corollary 2.5.14(a).
↑ Horn & Johnson 2013, p. 278.
↑ See: Autonne, L. (1915), “Sur les matrices hypohermitiennes et sur les matrices unitaires”, Ann. Univ. Lyon 38: 1–77 Takagi, T. (1925), “On an algebraic problem related to an analytic theorem of Carathéodory and Fejér and on an allied theorem of Landau”, Japan. J. Math. 1: 83–93 Siegel, Carl Ludwig (1943), “Symplectic Geometry”, Amer. J. Math. 65: 1-86, http://www.jstor.org/stable/2371774 , Lemma 1, page 12 Hua, L.-K.