Thank you for your valuable comments on our manuscript. Regarding your concern about the nonlinearity of the CIE model, we would like to clarify that the choice of 'beta' values in our numerical experiments (Sections 1 and 6) follows the specific setting principles summarized by other literature on page 5. As mentioned in the manuscript, 'beta' is initially set to a larger value and then gradually decreases with each iteration. In our case, all 'beta' values used in the experiments are greater than or equal to 1, which satisfies the requirement of reducing nonlinearity. Moreover, the norm of R*(I+A/'beta') is smaller than the norm of chi*A, and the norm of (I+A/'beta') is approximately equal to the norm of A/'beta', which further ensures a lower degree of nonlinearity. We hope this explanation addresses your concern and we appreciate your attention to our work.

Addressing Reviewer Comments on CIE Model Nonlinearity and Beta Value Selection

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