incompatible equations

incompatible equations

[‚in·kəm′pad·ə·bəl i¦kwā·zhənz]
(mathematics)
Two or more equations that are not satisfied by any set of values for the variables appearing. Also known as inconsistent equations.
Mentioned in ?
References in periodicals archive ?
If there is a solution of equations, the equation is regarded as the compatibility equations; on the contrary, it is the incompatible equation. In terms of the incompatible equations, there is no general solution.
The solution of the above formula is regarded as the least squares solution of incompatible equations; the symbol ?
G indicated a matrix, G = [A.sub.[bar.i]], [??] = Gb indicated the least squares solution of incompatible equations, and [parallel]AGb - b[[parallel].sub.2] is minimum, so [parallel]A(Gb + (I - GA)Z) - b[[parallel].sub.2] = [parallel]AGb - b[[parallel].sub.2]