MATRICES WHICH LEAVE A CONE INVARIANT

@inproceedings{Berman1979MATRICESWL,
  title={MATRICES WHICH LEAVE A CONE INVARIANT},
  author={Abraham Berman and Robert J. Plemmons},
  year={1979}
}
This chapter discusses the matrices that leave a cone invariant. The Perron–Frobenius theorems on nonnegative matrices have been extended to operators that leave a cone invariant in infinite-dimensional spaces. The chapter focuses upon finite-dimensional extensions of this type. Many of the cone-theoretic concepts introduced in the chapter are known by other names. The convex cone is called a linear semigroup in Krein and Rutman and a wedge in Varga. The proper cone is also called cone, full… CONTINUE READING

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