If H is a Hilbert space, S is a closed subspace of H, and A is a positive bounded linear operator on H, the spectral shorted operator ρ(S,A) is defined as the infimum of the sequence ∑(S,An)1/n, where denotes ∑(S,B) the ...

Given a closed subspace S of a Hilbert space H and a (bounded) selfadjoint operator B acting on H, a min-max representation of the shorted operator (or Schur complement) of B to S is obtained under compatibility hypotheses. ...

Let A be a selfadjoint operator and P be an orthogonal projection both operating on a Hilbert space H. We say that A is P-complementable if A−µP≥ 0 holds for some µ ∈ R. In this case we define IP (A) = max{µ ∈ R : A − µP ...

Mine operations are supported by a short-term production schedule, which defines where and when mining activities are performed. However, deviations can be observed in this short-term production schedule because of several ...