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Annotation of OpenXM/src/asir-contrib/packages/doc/Matrix-ja.texi, Revision 1.1

1.1     ! takayama    1: @c $OpenXM$
        !             2: @node Matrix operations (library by Okutani),,, Top
        !             3: @chapter Matrix operations (library by Okutani)
        !             4: $B%U%!%$%k(B @file{gr} $B$,I,MW$G$9(B.
        !             5:
        !             6: Yukio Okutani $B;a$K$h$k(B Risa/Asir $B8@8l$G=q$+$l$?9TNs7W;;MQ$N%i%$%V%i%j$G$9(B.
        !             7: $B$9$Y$F$N4X?tL>$O(B omatrix_ $B$G;O$^$j$^$9(B.
        !             8:
        !             9: @menu
        !            10: * omatrix_1::
        !            11: * omatrix_diag::
        !            12: * omatrix_trans::
        !            13: * omatrix_inverse::
        !            14: * omatrix_solve::
        !            15: * omatrix_kernel::
        !            16: @end menu
        !            17:
        !            18: @node omatrix_1,,, Matrix operations (library by Okutani)
        !            19: @subsection @code{omatrix_1}
        !            20: @findex omatrix_1
        !            21: @table @t
        !            22: @item omatrix_1(@var{N})
        !            23: ::  @var{N} $B<!C10L9TNs$r@8@.$7$^$9(B.
        !            24: @end table
        !            25: @table @var
        !            26: @item return
        !            27: $B9TNs(B
        !            28: @item N
        !            29: $B@0?t(B
        !            30: @end table
        !            31: @itemize @bullet
        !            32: @item  @code{omatrix_1}$B$NNc(B.
        !            33: @end itemize
        !            34: @example
        !            35: [297] omatrix_1(1);
        !            36: [ 1 ]
        !            37:
        !            38: [298] omatrix_1(2);
        !            39: [ 1 0 ]
        !            40: [ 0 1 ]
        !            41:
        !            42: [299] omatrix_1(3);
        !            43: [ 1 0 0 ]
        !            44: [ 0 1 0 ]
        !            45: [ 0 0 1 ]
        !            46: @end example
        !            47:
        !            48: @node omatrix_diag,,, Matrix operations (library by Okutani)
        !            49: @subsection @code{omatrix_diag}
        !            50: @findex omatrix_diag
        !            51: @table @t
        !            52: @item omatrix_diag(@var{L})
        !            53: ::  $B%j%9%H(B @var{L} $B$NMWAG$rBP3Q@.J,$H$9$kBP3Q9TNs$r@8@.$7$^$9(B.
        !            54: @end table
        !            55: @table @var
        !            56: @item return
        !            57: $B9TNs(B
        !            58: @item L
        !            59: $B%j%9%H(B
        !            60: @end table
        !            61: @itemize @bullet
        !            62: @item  @code{omatrix_diag}$B$NNc(B.
        !            63: @end itemize
        !            64: @example
        !            65: [301] omatrix_diag([1,2,3]);
        !            66: [ 1 0 0 ]
        !            67: [ 0 2 0 ]
        !            68: [ 0 0 3 ]
        !            69:
        !            70: [302] omatrix_diag([a,b,c]);
        !            71: [ a 0 0 ]
        !            72: [ 0 b 0 ]
        !            73: [ 0 0 c ]
        !            74: @end example
        !            75:
        !            76: @node omatrix_trans,,, Matrix operations (library by Okutani)
        !            77: @subsection @code{omatrix_trans}
        !            78: @findex omatrix_trans
        !            79: @table @t
        !            80: @item omatrix_trans(@var{A})
        !            81: ::  $B9TNs(B @var{A} $B$NE>CV9TNs$r5a$a$^$9(B.
        !            82: @end table
        !            83: @table @var
        !            84: @item return
        !            85: $B9TNs(B
        !            86: @item A
        !            87: $B9TNs(B or $B%j%9%H(B
        !            88: @end table
        !            89: @itemize @bullet
        !            90: @item  @code{omatrix_trans}$B$NNc(B.
        !            91: @end itemize
        !            92: @example
        !            93: [303] omatrix_trans([[a,b],[c,d]]);
        !            94: [ a c ]
        !            95: [ b d ]
        !            96:
        !            97: [304] omatrix_trans([[1,2,3],[4,5,6],[7,8,9]]);
        !            98: [ 1 4 7 ]
        !            99: [ 2 5 8 ]
        !           100: [ 3 6 9 ]
        !           101: @end example
        !           102:
        !           103: @node omatrix_inverse,,, Matrix operations (library by Okutani)
        !           104: @subsection @code{omatrix_inverse}
        !           105: @findex omatrix_inverse
        !           106: @table @t
        !           107: @item omatrix_inverse(@var{A})
        !           108: ::  $B9TNs(B @var{A} $B$N5U9TNs$r5a$a$^$9(B.
        !           109: @end table
        !           110: @table @var
        !           111: @item return
        !           112: $B9TNs(B
        !           113: @item A
        !           114: $B9TNs(B or $B%j%9%H(B
        !           115: @end table
        !           116: @itemize @bullet
        !           117: @item $B9TNs(B @var{A} $B$N@.J,$OM-M}?t(B or $BB?9`<0(B.
        !           118: @item @code{omatrix_inverse}$B$NNc(B.
        !           119: @end itemize
        !           120: @example
        !           121: [309] omatrix_inverse([[1,1],[1,2]]);
        !           122: [ 2 -1 ]
        !           123: [ -1 1 ]
        !           124:
        !           125: [310] omatrix_inverse([[a,b],[c,d]]);
        !           126: [ (d)/(d*a-c*b) (-b)/(d*a-c*b) ]
        !           127: [ (-c)/(d*a-c*b) (a)/(d*a-c*b) ]
        !           128: @end example
        !           129:
        !           130: @node omatrix_solve,,, Matrix operations (library by Okutani)
        !           131: @subsection @code{omatrix_solve}
        !           132: @findex omatrix_solve
        !           133: @table @t
        !           134: @item omatrix_solve(@var{A},@var{X},@var{Y})
        !           135: ::  @code{omatrix_solve}$B$OJ}Dx<0(B A*X=Y $B$N2r$r5a$a$^$9(B.
        !           136: @end table
        !           137: @table @var
        !           138: @item return
        !           139: $B%j%9%H(B
        !           140: @item A
        !           141: $B9TNs(B or $B%j%9%H(B
        !           142: @item X
        !           143: $B%Y%/%H%k(B or $B%j%9%H(B
        !           144: @item Y
        !           145: $B%Y%/%H%k(B or $B%j%9%H(B
        !           146: @end table
        !           147: @itemize @bullet
        !           148: @item $B9TNs(B @var{A} $B$N@.J,$OM-M}?t(B or $BB?9`<0(B.
        !           149: @item  @code{omatrix_solve}$B$NNc(B.
        !           150: @end itemize
        !           151: @example
        !           152: [376] omatrix_solve([[1,-1],[2,3]],[x,y],[1,1]);
        !           153: [[x,4/5],[y,-1/5]]
        !           154:
        !           155: [377] omatrix_solve([[a,b],[c,d]],[x,y],[1,1]);
        !           156: [[x,(-b+d)/(d*a-c*b)],[y,(a-c)/(d*a-c*b)]]
        !           157: @end example
        !           158:
        !           159: @node omatrix_kernel,,, Matrix operations (library by Okutani)
        !           160: @subsection @code{omatrix_kernel}
        !           161: @findex omatrix_kernel
        !           162: @table @t
        !           163: @item omatrix_kernel(@var{A})
        !           164: ::  @code{omatrix_kernel}$B$O9TNs(B A $B$N(B kernel $B$N4pDl$r5a$a$^$9(B.
        !           165: @end table
        !           166: @table @var
        !           167: @item return
        !           168: $B%j%9%H(B
        !           169: @item A
        !           170: $B9TNs(B or $B%j%9%H(B
        !           171: @end table
        !           172: @itemize @bullet
        !           173: @item $B9TNs(B @var{A} $B$N@.J,$OM-M}?t(B or $BB?9`<0(B.
        !           174: @item  @code{omatrix_kernel}$B$NNc(B.
        !           175: @end itemize
        !           176: @example
        !           177: [383] omatrix_kernel([[1,2,3,4],[1,0,1,0]]);
        !           178: [2,[[1,0,-1,1/2],[0,1,0,-1/2]]]
        !           179:
        !           180: [384] omatrix_kernel([[1,2,3,4],[1,0,1,0],[0,0,0,1]]);
        !           181: [1,[[1,1,-1,0]]]
        !           182: @end example