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P-matrix : ウィキペディア英語版
P-matrix
In mathematics, a P-matrix is a complex square matrix with every principal minor > 0. A closely related class is that of P_0-matrices, which are the closure of the class of P-matrices, with every principal minor \geq 0.
== Spectra of P-matrices ==
By a theorem of Kellogg, the eigenvalues of P- and P_0- matrices are bounded away from a wedge about the negative real axis as follows:
:If \ are the eigenvalues of an n-dimensional P-matrix, then
::|arg(u_i)| < \pi - \frac, i = 1,...,n
:If \, u_i \neq 0, i = 1,...,n are the eigenvalues of an n-dimensional P_0-matrix, then
::|arg(u_i)| \leq \pi - \frac, i = 1,...,n

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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