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[ÇóÖú] Çë½ÌÈçºÎÌá¸ßmatlabÔËÐÐÒÔϳÌÐòµÄЧÂÊ

ÎÒÃÇÏë¶Ô´óÐÍÏ¡ÊèÕ󣨱ÈÈç3Íò½×ÒÔÉÏ£©µÄ½øÐÐscale , ¼´the matrix is scaled by row and column , ʹµÃscaled ¾ØÕóÖеÄÿ¸öÔªËØµÄģСÓÚ»òµÈÓÚ1.  ¸ü¾«È·µÄÀ´Ëµ£¬ ѡȡ¶Ô½Ç¾ØÕóD1 ÓëD2

\begin{equation*}
D1(i,j) = \left\{\begin{array}{ll}
\frac{1}{max|A(i,|} \text{if} i=j, \\
0 \text{if} i\neq j,
\end{array}\right.
\end{equation*}

\begin{equation*}
D2(i,j) = \left\{\begin{array}{ll}
\frac{1}{max|A(:,j|} \text{if} i=j, \\
0 \text{if} i\neq j,
\end{array}\right.
\end{equation*}


ÎÒÃDZàдµÄÊÇÈçϳÌÐò£¬
%%%%%
function [DA] = scaling(A)
        r1(i) = max(abs(A(i,));   % Row
        r2(i) = max(abs(A(:,i)));   % Column
        D1 = spdiags(sqrt(1./r1),0,n,n);
        D2 = spdiags(sqrt(1./r2),0,n,n);
        DA = A * D2;
        DA = D1 * DA;
%%%%%%%%%%%%%
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meng-erni

гæ (³õÈëÎÄ̳)

ÎÒÃÇÏë¶Ô´óÐÍÏ¡ÊèÕ󣨱ÈÈç3Íò½×ÒÔÉÏ£©µÄ½øÐÐscale , ¼´the matrix is scaled by row and column , ʹµÃscaled ¾ØÕóÖеÄÿ¸öÔªËØµÄģСÓÚ»òµÈÓÚ1.  ¸ü¾«È·µÄÀ´Ëµ£¬ ѡȡ¶Ô½Ç¾ØÕóD1 ÓëD2






ÎÒÃDZàдµÄÊÇÈçϳÌÐò£¬
%%%%%
CODE:
function [DA] = scaling(A)

CODE:
r1(i) = max(abs(A(i,));   % Row

CODE:
r2(i) = max(abs(A(:,i)));   % Column

CODE:
D1 = spdiags(sqrt(1./r1),0,n,n);

CODE:
D2 = spdiags(sqrt(1./r2),0,n,n);

CODE:
  DA = A * D2;

CODE:
DA = D1 * DA;

%%%%%%%%%%%%%
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2Â¥2013-12-12 22:15:39
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meng-erni

гæ (³õÈëÎÄ̳)

ÎÒÃÇÏë¶Ô´óÐÍÏ¡ÊèÕ󣨱ÈÈç3Íò½×ÒÔÉÏ£©µÄ½øÐÐscale , ¼´the matrix is scaled by row and column , ʹµÃscaled ¾ØÕóÖеÄÿ¸öÔªËØµÄģСÓÚ»òµÈÓÚ1.  ¸ü¾«È·µÄÀ´Ëµ£¬ ѡȡ¶Ô½Ç¾ØÕóD1 ÓëD2
} \text{if} i=j, \\
0 \text{if} i\neq j,
\end{array}\right.
\end{equation*} ">



ʹµÃÖеÄÿ¸öÔªËØµÄģСÓÚ»òµÈÓÚ1.

ÎÒÃDZàдµÄÊÇÈçϳÌÐò£¬
%%%%%
CODE:
function [DA] = scaling(A)
         r1(i) = max(abs(A(i,));   % Row
         r2(i) = max(abs(A(:,i)));   % Column
         D1 = spdiags(sqrt(1./r1),0,n,n);
         D2 = spdiags(sqrt(1./r2),0,n,n);
         DA = A * D2;
         DA = D1 * DA;

%%%%%%%%%%%%%
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3Â¥2013-12-12 22:28:05
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