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Eigenvalue Decomposition (B grade)
Functional requirements:
a) Enter a symmetric square matrix A, read a text file
b) A matrix eigenvalue decomposition, the decomposition results: the U matrix, S diagonal matrix output to a text file
c) the smallest eigenvalue corresponding eigenvector output to a text file
d) verify the decomposition results are correct.
Description: Eigenvalue Decomposition numerical calculations are widely used in civil engineering problems, such as the structure can be used to calculate the natural frequency of vibration periods, structural eigenvalue buckling problems.