Key points are not available for this paper at this time.
If it is postulated that vector pairs (uy, vi) are related by the equation Xtii = t?j, where X is a matrix of suitable dimensions which also satisfies other stipulated conditions (for example, orthogonal or symmetric positive-definite), an experimental program, yielding approximations for the vector pairs, may be undertaken for the purpose of determining the matrix A. This paper considers the problem of making an optimal determination of X, several criteria of optimality being considered. A general methodology is shown. The problem has applications to all systems which can be modeled by such a matrix X. Two such applications are to the determination of spacecraft attitudes and to the determination of the stiffness matrix or the compliance matrix of an elastic structure.
J. E. Brock (Mon,) studied this question.