kernel

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kernel

$\begin{usage} kernel~L\\ kernel(L, n) \end{usage}$

$\begin{signatures} kernel: & SYS RX $\to$\ \htmlref{\texttt{DenseMatrix}}{Dens... ...er}) $\to$\ \htmlref{\texttt{DenseMatrix}}{DenseMatrix} FX\\\end{signatures}$

where
SYS == LinearOrdinaryFirstOrderSystem

$\begin{params} {\em L} & SYS RX & A linear ordinary first order differential o... ...htmlref{\texttt{Integer}}{Integer} & A degree bound (optional)\\\end{params}$

$\begin{descr} kernel(L) returns a matrix whose columns for a basis for all the ... ...asis for the polynomial solutions of $LY = 0$of degree at most $n$. \end{descr}$

$\begin{remarks} kernel(L) is available only if R has \htmlref{\texttt{RationalR... ...xttt{recurrence}}{LinearOrdinaryOperatorToRecurrence:recurrence}. \end{remarks}$

Manuel Bronstein 2000-12-13