The Multipolynomial Approximations and Inverse and Boundary Value Problems

All the published algorithms for a solution of the inverse problems of dynamics are grounded on a definition of a minimum of sum of squares of discrepancy - the minimum of the price function. Thenumerical method of the definition of the minimum demands to guess the first approximation. Thepaper suggests to use the new method of multipolynomial approximations (the MPA - algorithm) which do es not demand the definition of the minimum of the goal function. Vector estimations approximate an optimum vector estimations which are a optimal mean square as it are the vector of a conditional expectation. The algorithm approved at solutions of inverse problems i. the estimation of function the flexural rigidity of the beam for the steady-state Euler-Bernoulli beam equation, ii. the estimation of coefficients of equations of the attractor from electrical engineering blocks.