WAYS TO IMPROVE THE ACCURACY SOLUTION OF INVERSE PROBLEMS
The paper shows the relationship among the conditionality of matrices and the relative and absolute errors in solution of inverse problems described by linear models. Application of the method of least squares to enhance stability and improve the accuracy of solutions. The method of stability of solutions is based on attracting additional information by increasing the number of measurement outputs of the linear model. A method and a statistical algorithm to ensure the desired accuracy of solution poorly conditioned systems of linear algebraic equations.