“Wielandt's Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Wielandt's Theorem

释义

Wielandt's Theorem

Let the Matrix satisfy the conditions of the Perron-Frobenius Theorem and the Matrix satisfy

for

, 2, ...,

. Then any Eigenvalue

satisfies the inequality

with the equality sign holding only when there exists an

Matrix

(where

is the Kronecker Delta) and

References

Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic Press, p. 1121, 1979.

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