Applications of CS decomposition in linear combinations of two orthogonal projectors

نویسندگان

  • Julio Benítez
  • Vladimir Rakocevic
چکیده

We study the spectrum and the rank of a linear combination of two orthogonal projectors. We characterize when this linear combination is EP, diagonalizable, idempotent, tripotent, involutive, nilpotent, generalized projector, and hypergeneralized projector. Also we derive the Moore-Penrose inverse of a linear combination of two orthogonal projectors in a particular case. The main tool used here is the CS decomposition.

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 203  شماره 

صفحات  -

تاریخ انتشار 2008