In mathematics, a nonnegative matrix is a matrix in which all the elements are equal to or greater than zero
A positive matrix is a matrix in which all the elements are greater than zero. The set of positive matrices is a subset of all non-negative matrices.
Any transition matrix for a Markov chain is a non-negative matrix.
A rectangular non-negative matrix can be approximated by a decomposition with two other non-negative matrices via non-negative matrix factorization.
A positive matrix is not the same as a positive-definite matrix. A matrix that is both non-negative and positive semidefinite is called a doubly non-negative matrix.
Eigenvalues and eigenvectors of square positive matrices are described by the Perron–Frobenius theorem.
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