compan
Companion matrix
Syntax
A = compan(u)
Description
A = compan(u)
returns the
corresponding companion matrix whose first row is -u(2:n)/u(1)
,
where u
is a vector of polynomial coefficients.
The eigenvalues of compan(u)
are the roots of the
polynomial.
Examples
Companion Matrix for Polynomial
Compute the companion matrix corresponding to the polynomial .
u = [1 0 -7 6]; A = compan(u)
A = 3×3
0 7 -6
1 0 0
0 1 0
The eigenvalues of A
are the polynomial roots.
eig(A)
ans = 3×1
-3.0000
2.0000
1.0000
Extended Capabilities
C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.
GPU Code Generation
Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.
Thread-Based Environment
Run code in the background using MATLAB® backgroundPool
or accelerate code with Parallel Computing Toolbox™ ThreadPool
.
This function fully supports thread-based environments. For more information, see Run MATLAB Functions in Thread-Based Environment.
GPU Arrays
Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.
The compan
function
fully supports GPU arrays. To run the function on a GPU, specify the input data as a gpuArray
(Parallel Computing Toolbox). For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).
Distributed Arrays
Partition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.
This function fully supports distributed arrays. For more information, see Run MATLAB Functions with Distributed Arrays (Parallel Computing Toolbox).
Version History
Introduced before R2006a
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