An Improved Singular Values Decomposition Method for Ill-Posed Problem

Based on the characteristics of the truncation singular values method and the modification singular values method,an improved singular values decomposition method is designed.The basic principle of the method is synchronously using the truncation parameter and the modification parameter to deal with the singular values of the coefficient matrix.The simulational results from the downward continuation of the airborne gravity data show that the significant quality advantages of the improved singular values decomposition method.