companion

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companion

$\begin{usage} companion~$[r_1,\dots,r_n]$\\ companion($[r_1,\dots,r_n],a$) \end{usage}$

Signature

companion: (Vector R, R) $\to$ %

$\begin{params} $r_1,\dots,r_n$\ & R & Entries\\ {\em a} & R & A subdiagonal entry (optional, default is $1$)\\\end{params}$

$\begin{retval} Returns the companion matrix \begin{displaymath} \pmatrix{ 0 & &... ... r_3 \cr & & & & \vdots\cr & & & a & r_n \cr } \end{displaymath} \end{retval}$

See Also

diagonal

Manuel Bronstein 2000-12-13