Solution of linear algebra systems may come out with "ill-condition" or "well-condition" based on input information and solution methods. The aim of this study is to determine and correction of problems that may come out from the solution of matrix equations by computers and to calculate. A x f linear algebra.
We consider nonlinear systems of difference equationsis a continuous vector-function, ϕ(0) = 0 and µ is a numeral parameter. The spectrum of A belongs to the unit circle {|λ| < 1}. We give the estimations for the region of attraction and the speed of convergence solutions to the zero solution of the systems. We indicate a set M such that for solutions of the system with parameter µ ∈ M the limit x(n) → 0, n → ∞ is true.
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