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The routine computes all the eigenvalues and, optionally, the eigenvectors of a square real symmetric matrix A.
The eigenvector v(j) of A satisfies the following formula:
A*v(j) = lambda(j)*v(j)
lambda(j) is its eigenvalue.
The computed eigenvectors are orthonormal. The eigenvalues and eigenvectors can be selected by specifying either a range of values or a range of indices of the desired eigenvalues.
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