Finds the eigenvalues and right eigenvectors of the square Input Matrix. Wire data to the Input Matrix input to determine the polymorphic instance to use or manually select the instance.


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Real

The eigenvalue problem is to determine the nontrivial solutions to the equation:

AX = λX

where A is an n-by-n Input Matrix, X is a vector with n elements, and λ is a scalar. The n values of λ that satisfy the equation are the Eigenvalues of A and the corresponding values of X are the right Eigenvectors of A. A real, symmetric matrix always has real eigenvalues and eigenvectors. This VI returns the real eigenvalues in ascending order if the Input Matrix is a real symmetric matrix.

Complex

The eigenvalue problem is to determine the nontrivial solutions for the equation:

AX = λX

where A represents an n-by-n Input Matrix, X represents a vector with n elements, and λ is a scalar. The n values of λ 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. This VI returns the real eigenvalues in ascending order if the Input Matrix is a Hermitian matrix.

Examples

Refer to the following example files included with LabVIEW.

  • labview\examples\Mathematics\Linear Algebra\Linear Algebra Calculator.vi
  • labview\examples\Mathematics\Differential Equations - ODE\Linear Differential Equation Solving.vi