非负矩阵Perron根上界序列(英文)

A Series of Upper Bounds for the Perron Root of a Nonnegative Matrix

给出了非负矩阵Perron根的一系列优化上界,即通过相似对角变换与Gerschgorin定理较好的估计了Perron根的上界,并且通过例子来说明这种方法的有效性.

This paper proposes a series of improved upper hounds for Perron roots of nonegative matrices. Better estimates of the Perron root have been given by both diagonal transformation method and the extension of Gerschgorin Theory. Numerical experiment has been shown the effectiveness of our method.