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The effectiveness of both methods was proved by practical experiments on a common tube sample.
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Under certain conditions, the global convergence of the both methods is proved.
Both methods are proven effective in dealing with the single-objective inverse problem.
Adequacy of implemented models and methods was proved.
Hence, under these experimental conditions, the validity of the proposed methods was proved.
Through the comparison with test data, these methods are proved to be suitable for structural design.
Strong convergence theorems for the proposed iterative methods are proved.
By this means Boole's methods are proved to be correct for the algebra of logic of universal propositions.
The proposed methods were proved to better when compared with other previous methods.
Under certain conditions, the global convergence of the proposed methods is proved.
SFFS and SBFS methods are proved to outperform SFS and SBS [32].
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