学术翻译：根据佩伦-弗罗贝尼斯定理对于所有不可还原的非负矩阵 A都有一个代数上简单的特征值B 并存在对应于B的唯一左特征向量 C 和右特征向量 D满足F。

According to Perron-Frobenius theorem, for all irreducible non-negative matrix A, there exists a simple eigenvalue B in algebraic sense, and there exist unique left eigenvector C and right eigenvector D corresponding to B such that F holds.