The TSROOT subroutine computes AR and MA coefficients from the characteristic roots of the model or computes the characteristic roots of the model from the AR and MA coefficients.

The input arguments to the TSROOT subroutine are as follows:

matin

refers to the 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.

qcoef

requests the ARMA coefficients when the characteristic roots are provided (qcoef=1). By default, the characteristic roots of the polynomial are computed (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.