Abstract

This chapter discusses the elementary properties of nonnegative matrices that are relevant to economic applications. It describes a nonnegative matrix and discusses a primitive matrix, which is a nonnegative matrix with a positive power. It also focuses on nonnegative irreducible matrices. A square matrix A = [aij] is nonnegative if aij 0 for every couple (i, j). If A and B are square matrices of the same order, A B means that aij bij and A <B means that aij <bij for every couple (i, j). The chapter also discusses the Perron and Frobenius theorem.

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