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运行报错信息如下:
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0 y# [) M! r4 X$ c: U+ K! `无法从 sym 转换为 logical。$ g( b! `0 m: q& N* y9 t7 j: C
. I- Z/ z! C8 m/ e6 i出错 M (line 65)1 }- W3 F6 n9 v% W0 ^/ o
while differ>eps7 B7 ~) j" B9 }! P0 z7 E# K
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& Z/ n8 w% R% m: ?7 H代码如下:
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clear
) e2 Z( j# x! i%Newton iteration-Multi Points; V. Q/ k# a5 s8 o
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syms x1 x2 x3 x4 x5 x6 sum_n n_NaF n_AlF3;6 _% ]% X5 F G3 A2 j
syms RR;! D4 U( R. B1 q" M5 t6 Z4 d% p/ L
syms N# `$ z7 N2 H& Q5 |) }
RR=ones(1,7)/10e11;: V) B# @- Z! {
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% l+ h0 |) R2 D" E%****************
0 g% k2 k7 S7 Y8 ~T=['n_AlF3 ','x1 ', 'x2 ', 'x3 ', 'x4 ', 'x5 ', 'x6 ','n_sum ']; %
$ q! g5 N/ H& j/ Ddisp(T);
% Z8 U7 {2 u/ s) H5 l. p( R$ Z3 n& J! E; J- a' Z! j% k
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N=0;
8 P( x8 D6 u- g9 tfor n_AlF3=0.01:0.01:0.5; %%
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* n6 s9 W* ]' i3 n3 p6 B3 R0 Z disp(n_AlF3);
$ v: r. t9 V7 X4 \1 e disp('--------');
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! m2 i2 r" d% ^, Y" G. w if N==0
2 S& p/ L* l, H& |3 | s1=1-3*n_AlF3;
- Q2 _, A4 V1 B, @) p( A2 {% ]. q0 f s2=0;$ b7 j. T9 T3 \& d3 h4 i8 E" x
s3=0;
- W* S- X2 I# \+ ~4 r7 c s4=n_AlF3/3;
+ q+ X$ {: g1 Z8 A" q s5=0;6 N: m/ a: B2 a0 S
s6=1-n_AlF3;
# ~1 S H( S `) p/ y s7=0;
1 z4 e; z3 ?( X elseif N>0
9 G9 i- v; T- H- m! s s1=RR(1);" W1 \+ v5 y$ R
s2=RR(2);
2 U8 ~0 H; e" d4 j$ Q s3=RR(3);
2 K4 ~' @: E! m/ c4 p3 l s4=RR(4);
) P8 x: M& M" M# z8 N( v s5=RR(5);
5 d, M) S: i- {8 b. U1 e9 I s6=RR(6);
& B9 e3 L( T5 s3 h s7=RR(7);8 ]; o3 @% Q+ Q7 n
end
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eps=1.0e-6;: Y% y" ~9 L: A9 d) U
differ=1;* z- P% w. y+ k, c4 r; i! o
n=1;+ Y5 |+ ?9 s' E
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f1=x1*x3-0.2471*sum_n*x2; %0.247146 改为0.2471
3 G" a8 X# Q$ p- a+ Q, I. B f2=x1*x4-0.1352*sum_n*x3;%0.135198 改为0.1352' Q. U! {# `9 K5 r
f3=x1*x5-0.0003*x4^2; %0.000299 改为0.00035 Y# @( Z- S; P
f4=x1+6*x2+5*x3+4*x4+7*x5+14*x6-( n_NaF+3*n_AlF3);
$ Y4 g% b8 _! T& [ f5=x2+x3+x4+2*x5+3*x6-n_AlF3;: q1 @! t- ~/ O" W
f6=x1+x2+x3+x4+x5+x6-sum_n;' X$ I- b+ h; p. P$ e$ t6 g) |
f7=x4^2*x2-0.0000008*x6*sum_n^2;9 ?: _. W$ t+ c$ J
F=[f1 f2 f3 f4 f5 f6 f7];: T @& ~( L' q8 m! \
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dF=transpose([diff(F,'x1');diff(F,'x2') ;diff(F,'x3');diff(F,'x4');diff(F,'x5'); diff(F,'sum_n'); diff(F,'x6')]);
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x0 = [s1,s2,s3,s4,s5,s6,s7];
) W! Q: k: ^/ y& [1 z 4 z. {" k x+ I! ]. V
Fx = subs(F,[x1 x2 x3 x4 x5 sum_n x6],x0);
! e$ O2 x+ J. L8 n0 A" |2 S. ?9 ? dFx = subs(dF, [x1 x2 x3 x4 x5 sum_n x6],x0);
/ e8 }) n5 B* Y3 Y/ A/ U %disp('*******************');
6 I! U2 M6 L5 f9 a% n %disp(vpa(Fx));; M \# U/ k# T. c y$ n/ g. U
%disp(vpa(dFx));
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r= transpose(x0)- inv(dFx)*transpose(Fx);. X2 N$ h. c$ P, V& [
%disp(vpa(r));
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while differ>eps% Z8 z" ~* x! I+ K
%disp('*******************');7 ?: ?1 T1 h L: ^, }( R* Y y
Fx = subs(F, [x1 x2 x3 x4 x5 sum_n x6], transpose(r));
" L8 @3 O1 ^3 M- C dFx = subs(dF, [x1 x2 x3 x4 x5 sum_n x6], transpose(r));. k# A) W" R5 h1 ? z5 F9 l
%disp(vpa(Fx));
* y2 F* S0 e5 u# ^7 [/ f' v9 f %disp(vpa(dFx));: J: ~2 j: ?4 o
2 M% p! @- o; c, t7 Q6 r# s differ=norm( inv(dFx)*transpose(Fx));
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r=r-inv(dFx)*transpose(Fx);
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5 _* I( p8 U. p %disp(vpa(r));
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* A! `6 U$ M( g0 ` n =n+1;
( b5 H' ^% h( \; e1 M if(n>100);
; R2 u- S: G0 f$ M disp('iteration exceed! Not converged!');2 M" i% M% Q3 A1 W
return;& w$ _, x1 u0 s+ E7 S
end;
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5 H' I9 [3 u# b% A5 h2 t) [' h %r=[n_AlF3,r];
- ?" d+ C( d; q RR=vpa(transpose(r));
7 r) B. R; H* N: _* E disp(RR);1 ?) k- a8 z/ p# H ? V1 X
N=N+1;" I8 P. h5 t) ?* x( f
end;
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