Create Real Matrix From Eigenvalues VI

Owning Palette: Linear Algebra VIs

Requires: Full Development System

Generates a real matrix from Eigenvalues.

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	Eigenvalues contains the eigenvalues from which you want to create Matrix. Eigenvalues must be real or conjugate pairs.
	Matrix returns the real matrix whose eigenvalues are specified by Eigenvalues.
	error returns any error or warning from the VI. You can wire error to the Error Cluster From Error Code VI to convert the error code or warning into an error cluster.

Create Real Matrix From Eigenvalues Details

This VI generates the Matrix in the following form:

where n is the length of Eigenvalues and a₀, a₁, …, a_{n – 1} are the coefficients of the polynomial P(x).

The following equation defines P(x):

P(x) = (x – ₀)(x – ₁)···(x – _{n – 1}) = a₀ + a₁x + a₂x² + … + a_{n – 1}x^{n – 1} + xⁿ

where ₀, ₁, …, _{n – 1} are the elements in Eigenvalues.