MATRIX ROOTS OF NONNEGATIVE AND EVENTUALLY NONNEGATIVE MATRICES
Pietro Paparella · ProQuest Demo Repository · 2013
Eventually nonnegative matrices are real matrices whose powers become and remain nonnegative.As such, eventually nonnegative matrices are, a fortiori, matrix roots of nonnegative matrices, which motivates us to study the matrix roots of nonnegative matrices.Using classical matrix function theory and Perron-Frobenius theory, we characterize, classify, and describe in terms of the complex and real Jordan canonical form the pth-roots of nonnegative and eventually nonnegative matrices.