Article ID Journal Published Year Pages File Type
4602598 Linear Algebra and its Applications 2008 13 Pages PDF
Abstract

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. Also, an extension of Pekarev’s formula is given.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory