  In electrical impedance tomography, algorithms based on minimizing the
linearized-data-fit residuum have been widely used due to their real-time
implementation and satisfactory reconstructed images. However, the resulting
images usually tend to contain ringing artifacts. In this work, we shall
minimize the linearized-data-fit functional with respect to a linear constraint
defined by the monotonicity relation in the framework of real electrode
setting. Numerical results of standard phantom experiment data confirm that
this new algorithm improves the quality of the reconstructed images as well as
reduce the ringing artifacts.
