COLLOCATION BY TWO VARIANT METHODS
: The generalized collocation problem is dealt with in this paper by two variant met- hods. Given observation equations AX + BY = L - N = S nm ml nr r1 n1 where L is the observation(column vector). X deterministic unknown. Y also an unkno- wn.while being a realization of a random vector: N noise. We are to find estimates of X. Y. N from L. One of the approaches is to apply equivalent observations. another is the method of indirect observations. Formulae of estimates and their covariance mat fices of two ca- tegories are derived. namely the conventional covariance and another defined by deviati- ons of the estimates from their values to be estimated. We see the results are identical. Inverse of order n involved in the first approach may be replaced through an inverse of order r.