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This routine solves the (ordinary) eigenvalue problem for a complex hermitian square matrix A. Given A, an unitary matrix Q is calculated which diagonalizes A: Q' A Q = diag(E) and Q Q' = Q' Q = 1 Here diag(E) a is diagonal matrix whose diagonal is E. ' denotes the hermitian transpose (i.e. ordinary transposition and complex conjugation). (more...)

src/s/y/sympy-0.7.5/sympy/mpmath/tests/test_eigen_symmetric.py

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def run_eighe(A, verbose = False): if verbose: print("original matrix:\n", str(A)) D, Q = mp.eighe(A)