Notes on the Perron-frobenius Theory of Nonnegative Matrices

نویسنده

  • MIKE BOYLE
چکیده

By a nonnegative matrix we mean a matrix whose entries are nonnegative real numbers. By positive matrix we mean a matrix all of whose entries are strictly positive real numbers. These notes give the core elements of the Perron-Frobenius theory of nonnegative matrices. This splits into three parts: (1) the primitive case (due to Perron) (2) the irreducible case (due to Frobenius) (3) the general case (due to?) We will state but not prove the basic structure theorem for the general case.

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تاریخ انتشار 2005