characteristic root

English

Calque of French racine caractéristique, the term preferred by French mathematician Augustin-Louis Cauchy (1789–1857).

characteristic root (plural characteristic roots)

单词	characteristic root
释义	characteristic root English Etymology Calque of French racine caractéristique, the term preferred by French mathematician Augustin-Louis Cauchy (1789–1857). Noun characteristic root (plural characteristic roots) (linear algebra) An eigenvalue. 1962 [Prentice Hall], Leonard E. Fuller, Basic Matrix Theory, 2017, Dover, page 217, There is an important relationship between the characteristic roots of a symmetric matrix and the r and p of the associated quadratic form. It is true that the number of positive characteristic roots is p, whereas the number of nonzero characteristic roots is r. 1985, Takeshi Amemiya, Advanced Econometrics, Harvard University Press, page 459, The determinant of a matrix is the product of its characteristic roots. 2009, Babu Ram, Engineering Mathematics, Pearson Education India, page 13.56, Theorem 13.54. The characteristic roots of a Hermitian matrix are real. Related terms characteristic polynomial characteristic vector
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