Generalization of the method of triangular regularization of systems of linear algebraic equation with approximate right-hand part principally important for gravimetry and magnetometry
© V.N. Strakhov
It is shown that in the case of systems of algebraic equations (SALE)
a sufficiently great number of apriori conditions of the kind of is known. Thus, effective use of
this apriori information to obtain a stable approximated solution of x with the indicated SALE . is possible. The essence of the method of the approximated triangular
regularization is the proceding from the initial SALE to an expanded one and the use of
special orthogonal transformation of the expanded SALE.