- October 7,
2011, Friday - 15h00 (Room
P
3.10):
Natália Bebiano
(Universidade de Coimbra)
" Krein
spaces numerical ranges and their computer generation "
Abstract. Let J be an involutive Hermitian matrix
with signature (t,n-t), that is, with t positive and n-t negative
eigenvalues. The Krein space numerical range of a complex matrix A of
size n is the collection of complex numbers of the form x*JAx/x*Jx,
with x in C^n and x*Jx different from zero. In this talk, properties of
this numerical range are discussed. Matlab programs are developed to
generate Krein spaces numerical ranges in the finite dimensional case.
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