Abstract. The methods of the tolerance ellipsoidal estimation for the tasks of synthesis of the tolerances to parameters of radio-electronic circuits and possibility of its parallelization are considered. These methods are the result of the task of estimation the solutions of an interval system of linear algebraic equations (ISLAE) which is built according to given criteria of optimality. The numerical algorithm is proposed for solving the tolerance ellipsoidal estimation tasks with a possibility of parallelization.Key words: interval model, parameters identification, tolerance ellipsoidal estimation, parallel algorithm.
Task statementsThe methods of tolerance ellipsoidal estimation are used for the tasks of tolerance synthesis of the parameters of radioelectronic circuits [1], and for the tasks of design the technical devices for surgical operations assisting in particular for decreasing risk of damage the function-of important organs when the surgical area of safe operation is necessary to define. The indicated tasks are the result of the mathematical task estimating the solutions of an interval system of linear algebraic equations (ISLAE). It is described in [2,3] that quality criteria for methods of receiving tolerance estimations of model parameters are: minimal computational complexity, maximal volume of tolerance estimation the parameters area and minimal computational resources for realization the resulting model. It is described in [3,4] that the ellipsoidal estimations are the most effective estimations of ISLAE solutions and mostly satisfy the indicated criteria. Let's consider the mathematical definition of the indicated estimation task.Let the construction of interval models has such data:
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