Finds the Eigenvalues and right Eigenvectors of a square complex Input Matrix A. Details
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Input Matrix must be an n-by-n square, complex matrix, where n is the number of rows and columns of Input Matrix. | ||||
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matrix type is the type of Input Matrix. A Hermitian matrix needs less computation than a general matrix. A Hermitian matrix always has real eigenvalues.
matrix type has two possible options:
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output option determines what needs to be computed. The output option has two possible options.
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Eigenvalues is a complex vector of n elements, which contains all of the computed Eigenvalues of the Input Matrix. The Input Matrix could have complex Eigenvalues if it is not symmetric. | ||||
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Eigenvectors is a n-by-n complex matrix containing all of the computed Eigenvectors of the Input Matrix.
The ith column of Eigenvectors is the eigenvector corresponding to the ith component of the vector, Eigenvalues. Each eigenvector is normalized so that its largest component is always unified. The Input Matrix could have complex Eigenvectors if it is not symmetric.
If output option is set to Eigenvalues, Eigenvectors sets to empty. |
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error returns any error or warning condition from the VI. |
The eigenvalue problem is to determine the nontrivial solutions for the equation:
AX=X
where A represents an n-by-n Input Matrix, X represents a vector with n elements, and is a scalar. The n values of
that satisfy the equation are the Eigenvalues of A and the corresponding values of X are the right Eigenvectors of A. A Hermitian matrix always has real eigenvalues.
Eigenvalues is a complex vector of n elements, which contains all of the computed eigenvalues of the Input Matrix. The Input Matrix could have complex Eigenvalues if it is not a Hermitian matrix.
Eigenvectors is an n-by-n complex matrix containing all the computed eigenvectors of the Input Matrix. The ith column of Eigenvectors is the eigenvector corresponding to the ith component of the vector, Eigenvalues. Each eigenvector is normalized so that its largest component is always unity.