Krystyna Zietak
"Strict spectral approximation of a matrix and some related problems"



In the paper we show how the strict spectral approximation can be used
to obtain characterizations and properties of solutions of some problems 
in the space of matrices. Namely, we deal with
( i)  approximation problems with singular values preserving functions,
(ii) the Moore-Penrose generalized inverse.
Some properties of an approximation by positive semi-definite matrices are
commented.