companion (MathScript RT Module Function)
Owning Class: linalgebra
Requires: MathScript RT Module
Syntax
c = companion(a)
Legacy Name: compan
Description
Returns the companion matrix to a polynomial.
Inputs
| Name | Description |
|---|---|
| a | Specifies the coefficients of a polynomial in descending order of power. The first element in a is the leading coefficient of the polynomial, which is 1 for a monic polynomial. Therefore, an input vector of size n produces a companion matrix of size (n-1)-by-(n-1). a is a vector. |
Outputs
| Name | Description |
|---|---|
| c | Returns the companion matrix of a. The size of c equals the order of a. |
Examples
A = [1, 2, 3, 4]
C = companion(A)