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Parent Chapters-> Omatrix6 polynomial compan

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Compute the companion matrix corresponding to polynomial

Syntax	compan(c)
See Also

Description
Returns the companion matrix corresponding to the descending polynomial represented by the vector c. The corresponding companion matrix is given by

         _                                                        _
        |  -c(2)/c(1)   -c(3)/c(1)  ...  -c(n)/c(1)  -c(n+1)/c(1)  |
        |       1            0      ...       0             0      |
        |       0            1      ...       0             0      |
    A = |       .            .   .            .             .      |
        |       .            .       .        .             .      |
        |       .            .           .    .             .      |
        |_      0            0      ...       1             0     _|

The eigenvalues of the companion matrix are equal to the roots of the polynomial.

Example
If you enter
     c = [ 1, 2, 3, 4]
     compan(c)
O-Matrix will reply
     {
     [ -2 , -3 , -4 ]
     [ 1 , 0 , 0 ]
     [ 0 , 1 , 0 ]
     }