=================================================================== RCS file: /home/cvs/OpenXM/src/asir-contrib/packages/doc/Attic/Matrix-ja.texi,v retrieving revision 1.2 retrieving revision 1.3 diff -u -p -r1.2 -r1.3 --- OpenXM/src/asir-contrib/packages/doc/Attic/Matrix-ja.texi 2002/08/08 08:56:32 1.2 +++ OpenXM/src/asir-contrib/packages/doc/Attic/Matrix-ja.texi 2002/08/14 09:17:58 1.3 @@ -1,185 +1,5 @@ -@c $OpenXM: OpenXM/src/asir-contrib/packages/doc/Matrix-ja.texi,v 1.1 2002/07/29 02:56:27 takayama Exp $ -@node Matrix operations (library by Okutani),,, Top -@chapter Matrix operations (library by Okutani) -ファイル @file{gr}, @file{Matrix} が必要です. -Yukio Okutani 氏による Risa/Asir 言語で書かれた行列計算用のライブラリです. -すべての関数名は omatrix_ で始まります. +@node 行列(標準数学函数),,, Top +@chapter 行列(標準数学函数) -@menu -* omatrix_1:: -* omatrix_diag:: -* omatrix_trans:: -* omatrix_inverse:: -* omatrix_solve:: -* omatrix_kernel:: -@end menu - -@node omatrix_1,,, Matrix operations (library by Okutani) -@subsection @code{omatrix_1} -@findex omatrix_1 -@table @t -@item omatrix_1(@var{N}) -:: @var{N} 次単位行列を生成します. -@end table -@table @var -@item return -行列 -@item N -整数 -@end table -@itemize @bullet -@item @code{omatrix_1}の例. -@end itemize -@example -[297] omatrix_1(1); -[ 1 ] - -[298] omatrix_1(2); -[ 1 0 ] -[ 0 1 ] - -[299] omatrix_1(3); -[ 1 0 0 ] -[ 0 1 0 ] -[ 0 0 1 ] -@end example - -@node omatrix_diag,,, Matrix operations (library by Okutani) -@subsection @code{omatrix_diag} -@findex omatrix_diag -@table @t -@item omatrix_diag(@var{L}) -:: リスト @var{L} の要素を対角成分とする対角行列を生成します. -@end table -@table @var -@item return -行列 -@item L -リスト -@end table -@itemize @bullet -@item @code{omatrix_diag}の例. -@end itemize -@example -[301] omatrix_diag([1,2,3]); -[ 1 0 0 ] -[ 0 2 0 ] -[ 0 0 3 ] - -[302] omatrix_diag([a,b,c]); -[ a 0 0 ] -[ 0 b 0 ] -[ 0 0 c ] -@end example - -@node omatrix_trans,,, Matrix operations (library by Okutani) -@subsection @code{omatrix_trans} -@findex omatrix_trans -@table @t -@item omatrix_trans(@var{A}) -:: 行列 @var{A} の転置行列を求めます. -@end table -@table @var -@item return -行列 -@item A -行列 or リスト -@end table -@itemize @bullet -@item @code{omatrix_trans}の例. -@end itemize -@example -[303] omatrix_trans([[a,b],[c,d]]); -[ a c ] -[ b d ] - -[304] omatrix_trans([[1,2,3],[4,5,6],[7,8,9]]); -[ 1 4 7 ] -[ 2 5 8 ] -[ 3 6 9 ] -@end example - -@node omatrix_inverse,,, Matrix operations (library by Okutani) -@subsection @code{omatrix_inverse} -@findex omatrix_inverse -@table @t -@item omatrix_inverse(@var{A}) -:: 行列 @var{A} の逆行列を求めます. -@end table -@table @var -@item return -行列 -@item A -行列 or リスト -@end table -@itemize @bullet -@item 行列 @var{A} の成分は有理数 or 多項式. -@item 異なるアルゴリズムを用いて逆行列を計算する -@code{omatrix_inverse2}, @code{omatrix_inverse3} -もある. -@item @code{omatrix_inverse}の例. -@end itemize -@example -[309] omatrix_inverse([[1,1],[1,2]]); -[ 2 -1 ] -[ -1 1 ] - -[310] omatrix_inverse([[a,b],[c,d]]); -[ (d)/(d*a-c*b) (-b)/(d*a-c*b) ] -[ (-c)/(d*a-c*b) (a)/(d*a-c*b) ] -@end example - -@node omatrix_solve,,, Matrix operations (library by Okutani) -@subsection @code{omatrix_solve} -@findex omatrix_solve -@table @t -@item omatrix_solve(@var{A},@var{X},@var{Y}) -:: @code{omatrix_solve}は方程式 A*X=Y の解を求めます. -@end table -@table @var -@item return -リスト -@item A -行列 or リスト -@item X -ベクトル or リスト -@item Y -ベクトル or リスト -@end table -@itemize @bullet -@item 行列 @var{A} の成分は有理数 or 多項式. -@item @code{omatrix_solve}の例. -@end itemize -@example -[376] omatrix_solve([[1,-1],[2,3]],[x,y],[1,1]); -[[x,4/5],[y,-1/5]] - -[377] omatrix_solve([[a,b],[c,d]],[x,y],[1,1]); -[[x,(-b+d)/(d*a-c*b)],[y,(a-c)/(d*a-c*b)]] -@end example - -@node omatrix_kernel,,, Matrix operations (library by Okutani) -@subsection @code{omatrix_kernel} -@findex omatrix_kernel -@table @t -@item omatrix_kernel(@var{A}) -:: @code{omatrix_kernel}は行列 A の kernel の基底を求めます. -@end table -@table @var -@item return -リスト -@item A -行列 or リスト -@end table -@itemize @bullet -@item 行列 @var{A} の成分は有理数 or 多項式. -@item @code{omatrix_kernel}の例. -@end itemize -@example -[383] omatrix_kernel([[1,2,3,4],[1,0,1,0]]); -[2,[[1,0,-1,1/2],[0,1,0,-1/2]]] - -[384] omatrix_kernel([[1,2,3,4],[1,0,1,0],[0,0,0,1]]); -[1,[[1,1,-1,0]]] -@end example +@include matrix-auto-ja.texi