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Spread of a matrix
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Spread of a matrix : ウィキペディア英語版
Spread of a matrix
In mathematics, and more specifically matrix theory, the spread of a matrix is the largest distance in the complex plane between any two eigenvalues of the matrix.
==Definition==
Let A be a square matrix with eigenvalues \lambda_1, \ldots, \lambda_n. That is, these values \lambda_i are the complex numbers such that there exists a vector v_i on which A acts by scalar multiplication:
:Av_i=\lambda_i v_i.
Then the spread of A is the non-negative number
:s(A) = \max \.

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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