=================================================================== RCS file: /home/cvs/OpenXM/src/asir-contrib/packages/doc/Attic/dsolv.oxweave,v retrieving revision 1.2 retrieving revision 1.5 diff -u -p -r1.2 -r1.5 --- OpenXM/src/asir-contrib/packages/doc/Attic/dsolv.oxweave 2000/02/07 04:46:25 1.2 +++ OpenXM/src/asir-contrib/packages/doc/Attic/dsolv.oxweave 2003/07/27 13:18:45 1.5 @@ -1,17 +1,25 @@ -/* $OpenXM: OpenXM/src/asir-contrib/packages/doc/dsolv.oxweave,v 1.1 2000/02/06 06:39:48 takayama Exp $ */ +/* $OpenXM: OpenXM/src/asir-contrib/packages/doc/dsolv.oxweave,v 1.4 2002/08/23 08:16:12 takayama Exp $ */ /* dsolv.oxweave */ -/*&eg-texi +/*&C-texi @node DSOLV Functions,,, Top +*/ +/*&eg-texi + @chapter DSOLV Functions This section is a collection of functions to solve regular holonomic systems in terms of series. Algorithms are explained in the book [SST]. You can load this package by the command -@code{load("dsolv");} +@code{load("dsolv")$} This package requires @code{Diff} and @code{dmodule}. +To use the functions of the package @code{dsolv} in OpenXM/Risa/Asir, +executing the command @code{load("dsolv")$} +is necessary at first. + + This package uses @code{ox_sm1}, so the variables you can use is as same as those you can use in the package @code{sm1}. @@ -20,7 +28,6 @@ is as same as those you can use in the package @code{s */ /*&jp-texi -@node DSOLV $BH!?t(B,,, Top @chapter DSOLV $BH!?t(B @@ -29,8 +36,14 @@ is as same as those you can use in the package @code{s $B%"%k%4%j%:%`$K$D$$$F$O(B [SST] $B$K@bL@$,$"$k(B. $B$3$N%Q%C%1!<%8$Ox*dx, y->y*dy, ...)}. -@end itemize + */ /*&jp-texi -@menu -* dsolv_dual:: -@end menu -@node dsolv_dual,,, DSOLV $BH!?t(B +@node dsolv_dual,,, DSOLV Functions @subsection @code{dsolv_dual} @findex dsolv_dual @table @t @@ -96,13 +116,16 @@ equations @var{f}@code{_(x->x*dx, y->y*dy, ...)}. @item @var{f} $B$G@8@.$5$l$k%$%G%"%k$O(B, @var{v} $B$G@8@.$5$l$k6KBg%$%G%"%k$K(B $BBP$7$F(B, primary $B$G$J$$$H$$$1$J$$(B. primary $B$G$J$$>l9g(B, $B$3$NH!?t$OL58B%k!<%W$K$*$A$$$k(B. -@item $B$3$NH!?t$OK\(B [SST] $B$N(B Algorithm 2.3.14 $B$N$l(B log(x), log(y), ..., $B$G$*$-$+$($k$H(B, $B$3$l$i$N(B log $BB?9`<0$O(B, @var{f}@code{_(x->x*dx, y->y*dy, ...)} $B$G@8@.$5$l$kHyJ,J}Dx<07O(B $B$N2r$H$J$C$F$$$k(B. -@end itemize */ /*&C-texi @@ -133,9 +156,6 @@ primary $B$G$J$$>l9g(B, $B$3$NH!?t$OL58B%k!<%W$K$*$ /*&eg-texi -@menu -* dsolv_starting_term:: -@end menu @node dsolv_starting_term,,, DSOLV Functions @subsection @code{dsolv_starting_term} @findex dsolv_starting_term @@ -170,10 +190,7 @@ then this function outputs messages during the computa /*&jp-texi -@menu -* dsolv_starting_term:: -@end menu -@node dsolv_starting_term,,, DSOLV $BH!?t(B +@node dsolv_starting_term,,, DSOLV Functions @subsection @code{dsolv_starting_term} @findex dsolv_starting_term @table @t @@ -201,9 +218,15 @@ Staring terms $B$r7W;;$9$k(B. $B$3$3$G(B, @var{v} $B$3$NH!?t$O7W;;$NESCf$K$$$m$$$m$H%a%C%;!<%8$r=PNO$9$k(B. @end itemize + */ /*&C-texi + +@noindent +Algorithm: Saito, Sturmfels, Takayama, Grobner Deformations of Hypergeometric +Differential Equations ([SST]), Chapter 2. + @example [1076] F = sm1_gkz( [ [[1,1,1,1,1],[1,1,0,-1,0],[0,1,1,-1,0]], [1,0,0]]);