Improved inverse eigensensitivity method and improved frequency response function (FRF) sensitivity method developed for analytical model updating have become increasingly popular among other methods and have been successfully applied to the practice of analytical model improvement. This paper examines the mathematical relationship between these two powerful methods for updating analytical models of undamped systems with objectives of demonstrating the advantages and disadvantages of each method as well as their specific practical application conditions. The problem of solution uniqueness associated with these methods is addressed. Computational considerations regarding the practical application of the methods are discussed. Numerical simulations are given to demonstrate the practical applications of these methods.

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