Numerical aspects of eigenvalue localization problem of linear operators
The technique of numerical analysis the mathematical correctness of a number problems based on theorem proved which explains pseudospectrums relationship between two close-innorm operators is proposed; conditions of problems solvability when ones diving into numerical environments with finite precision of calculus allowing, in particular, to carry out the guaranteed analysis of stability of stationary dynamical systems are stated.
Keywords: correctness of mathematical statement, spectral portrait, numerical stability
