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Abstract: |
A square matrix is said to be totally nonnegative (respectively, positive) if all of its minors are nonnegative (respectively, positive). Determinantal inequalities have been a popular and important subject, especially for positivity classes of matrices such as: positive semidefinite matrices, M matrices, and totally nonnegative matrices. Our main interest lies in characterizing all of the inequalities that exist among products of both principal and non-principal minors of certain subclasses of invertible totally nonnegative matrices. This description is accomplished by providing a complete list of associated multiplicative generators.;
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