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There are some blind areas in geomagnetism vector detecting by magnetoresistive sensors. Generally, position transmit matrix is insolubility for its oddity. So, an attitude solution method is presented by taking trajectory obliquity and deflection measured by GPS as the initial value of body pitching and yaw attitude, and then using the quasi-Newton method to correct the result. After the simulation analysis with experience data, it is shows that the convergence rate and solution precision of this method is very close to Newton Method while the Contradictory of matrix can be avoided.