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**CALL TSROOT(***matout, matin, nar, nma, <,qcoef, print>***);**

The inputs to the TSROOT subroutine are as follows:

*matin*- refers to the ( nar + nma) ×2
characteristic root matrix if the polynomial (ARMA)
coefficients are requested (
*qcoef*=1), where the first column of the*matin*matrix contains the real part of the root and the second column of the*matin*matrix contains the imaginary part of the root. When the characteristic roots are requested (*qcoef*=0), the first*nar*rows are complex AR coefficients and the last*nma*rows are complex MA coefficients. The default is*qcoef*=0. *nar*- specifies the order of the AR process.
If you specify the subset AR model, the input
*nar*should be a row or column vector. *nma*- specifies the order of the MA process.
If you specify the subset MA model, the input
*nma*should be a row or column vector. *coef*- refers to the max( nar,nma) ×2
characteristic root matrix if
*qcoef*=1, where the first column of the*coef*matrix contains the real part of the root and the second column of the*coef*matrix contains the imaginary part of the root. When the characteristic roots are requested (*qcoef*=0), the first column of the COEF matrix contains the AR coefficients and the second column contains the MA coefficients. *qcoef*- requests the ARMA coefficients when the
characteristic roots are provided (
*qcoef*=1). By default, the characteristic roots of the polynomial are calculated (*qcoef*=0). *print*- specifies the print option if
*print*=1. By default, printed output is suppressed (*print*=0).

The TSROOT subroutine returns the following values

*matout*- refers to the characteristic root matrix if
*qcoef*=0; otherwise, the*matout*matrix contains the AR and MA coefficients.

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