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Hermitian and Symmetric Matrices
Since the matrix A+AT is symmetric the study of quadratic forms is reduced to the symmetric case. Example 9.0.3. Let Lf = Pn i,j=1 a ij ∂2f ∂xi∂xj. L is called a partial differential operator. By the combination of devices above (assuming f ∈C2 for exam-ple) we can study the symmetric and equivalent partial differential operator Lf ...
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