Eventual Cone Invariance

Main Article Content

Michael Kasigwa
Michael Tsatsomeros


Eventually nonnegative matrices are square matrices whose powers become and remain (entrywise) nonnegative. Using classical Perron-Frobenius theory for cone preserving maps, this notion is generalized to matrices whose powers eventually leave a proper cone K â R^n invariant, that is, A^mK â K for all sufficiently large m. Also studied are the related notions of eventual cone invariance by the matrix exponential, as well as other generalizations of M-matrix and dynamical system notions.

Article Details


Most read articles by the same author(s)

1 2 > >>