Professor Dr. Helmut Wolf

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 R_i G_i)^-1SG'_iR_i y_i s_t = (X'_tX_t)^-1X'_t(y_t - G_tc) where
c = common adjustments
s_t = state parameter adjustments for block t
X_t = Jacobian matrix for the state parameters
G_t = Jacobian matrix for the common adjustments
y_t = normalized data vector
R_i = I-X_i(X'_iX_i)^-1X'_i = residual operator
i = summation index running over the blocks of data.

A derivation of these formulas was reported in:
- Helmut Wolf (1978) "The Helmert block method, its origin and development", 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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* This page is under construction. If you can help us in finding Prof. Helmut Wolf's personal details please let us know by email Wolf@fkf.net. Last revised March 11, 2001.