diff options
Diffstat (limited to 'Master/texmf-dist/doc/generic/pst-plot/pst-plot-doc.tex')
-rw-r--r-- | Master/texmf-dist/doc/generic/pst-plot/pst-plot-doc.tex | 51 |
1 files changed, 51 insertions, 0 deletions
diff --git a/Master/texmf-dist/doc/generic/pst-plot/pst-plot-doc.tex b/Master/texmf-dist/doc/generic/pst-plot/pst-plot-doc.tex index a35004296ee..cb4777742ba 100644 --- a/Master/texmf-dist/doc/generic/pst-plot/pst-plot-doc.tex +++ b/Master/texmf-dist/doc/generic/pst-plot/pst-plot-doc.tex @@ -2955,6 +2955,57 @@ The number of the iteration is given by $n$. \end{pspicture} \end{LTXexample} +\clearpage +\subsection{\nxLcs{psNewton}} +\begin{BDef} + \Lcs{psNewton}\OptArgs\Largb{$x_0$}\Largb{$f(x)$}\OptArg*{\Largs{f'(x)}}\Largb{$n$} +\end{BDef} + +If the optional derivation of the function $f(x)$ is missing, then the macro itself +calculates the derivation with an interval of $\pm0.01$. It can be changed by setting +the optional argument \Lkeyword{VarStepEpsilon} to another value. If the derivation +is also given as a function, it is used without any check for the values. + +\medskip +\begin{LTXexample}[pos=t] +\def\f{1/5*x^3-x^2} +\psset{plotpoints=2000,algebraic} +% +\begin{pspicture*}[showgrid](-5.5,-8.5)(7.5,3.5) +\psaxes{->}(0,0)(-5,-8)(7,3)[$x$,270][$y$,0] +\psplot[linewidth=2pt,linecolor=blue]{-5}{8}{\f} +\uput[90](2.95,0){$x_0$}\uput[90](3.9,0){$x_0$} +\psNewton[linecolor=red,linewidth=0.5pt]{2.95}{\f}{10} +\psNewton[showpoints,linestyle=dashed]{3.9}{\f}{8} +\end{pspicture*} +\end{LTXexample} + + + +$x_0$ is the start value of the iteration, $f(x)$ the function, which can either be in +postfix or algebraic notation, for the latter it needs the optional argument \Lkeyword{algebraic}. +The number of the iteration is given by $n$. All defined plotstyles can be used, but there +maybe PostScript errors for \Lkeyset{plotstyle=values} if the number of steps is too +big. In such a case decrease the number of steps. + +\medskip +\begin{LTXexample}[pos=t] +\def\f{-(1/192)*x^3-(1/12)*x-(1/192)*Pi*x^2-(1/12)*Pi+2} +\def\fDerive{-(3/192)*x^2-(1/12)-(2/192)*Pi*x} +\psset{plotpoints=2000,unit=0.5,algebraic} +% +\begin{pspicture*}[showgrid](-16,-5)(8.5,18.5) +\psaxes[Dx=6,Dy=4]{->}(0,0)(-16,-5)(8,18)[$x$,270][$y$,0] +\psplot[algebraic,linewidth=2pt,linecolor=blue]{-20}{8}{\f} +\psxTick(-15){x_0} +\psNewton[linecolor=red,linewidth=0.5pt]{-15}{\f}{12} +\psNewton[linecolor=red,linewidth=0.5pt,plotstyle=xvalues,showDerivation=false]{-15}{\f}{6} +% +%-15, -9.567466932, -4.903526029, 3.026073041, 6.688396612, 5.580230655 (Made by Maple) +\end{pspicture*} +\end{LTXexample} + +\clearpage \section{List of all optional arguments for \texttt{pst-plot}} \xkvview{family=pst-plot,columns={key,type,default}} |