Professor Dr. Helmut Wolf (1910-1994)
The Wolf formulas for computing state parameter adjustments of the Helmert-Wolf Block (HWB) method can be written out as follows:c = (SG'i Ri Gi)-1SG'iRi yi
st = (X'tXt)-1X't(yt - Gtc)
c = common adjustments
st = state parameter adjustments for block t
Xt = Jacobian matrix for the state parameters
Gt = Jacobian matrix for the common adjustments
yt = normalized data vector
Ri = I-Xi(X'iXi)-1X'i = residual operator
i = summation index running over the blocks of data.
A derivation of these formulas was reported
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- Helmut Wolf (1978)
"The Helmert block method, its origin
Proceedings of the Second International Symposium on Problems
Related to the Redifinition of North American Geodetic Networks,
Arlington, Va. April 24-28, see pages 319-326.
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Last revised March 11, 2001.