Before revision:  We prove that the condition number of NOSAS methods do not depend on the coefficients , and with a specific choice of the threshold of the eigenvalues, we can obtain condition numbers for the preconditioned system similar to the AAS method with constant coefficients .
After revision:  We prove that the condition number of the NOSAS methods does not depend on the coefficients , and with a specific choice of the threshold of the eigenvalues, we can obtain condition numbers for the preconditioned system similar to the AAS method with constant coefficients .