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$ B+ Y$ L' x# z( }/ S运行报错信息如下:3 }7 T$ O; U9 u9 l* D; g# _$ j0 j
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无法从 sym 转换为 logical。
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出错 M (line 65)% V+ N+ V7 P3 o$ s" E3 J( |8 S) v& X
while differ>eps
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代码如下:
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clear0 l5 H) n( S* G4 B
%Newton iteration-Multi Points
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syms x1 x2 x3 x4 x5 x6 sum_n n_NaF n_AlF3;
& V o' n1 N2 }' l2 M9 {1 ssyms RR;
8 Y! X6 c; v5 E7 K9 ^. x- V" ~, zsyms N
2 E: d5 P6 e' t$ QRR=ones(1,7)/10e11;
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%****************
+ y# v+ `. u; T3 u ]0 eT=['n_AlF3 ','x1 ', 'x2 ', 'x3 ', 'x4 ', 'x5 ', 'x6 ','n_sum ']; %
$ [5 b) N* K7 p+ x! v+ idisp(T);
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N=0;' @9 g- L4 ]$ d/ ]- V4 h: e) v
for n_AlF3=0.01:0.01:0.5; %%8 j* k+ A/ j( h4 t1 h
' C! }0 M- s# }+ F disp(n_AlF3);0 }- i$ |# m" \, N! b$ ^
disp('--------');
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if N==0
; A7 \+ E5 {: K5 Y# | s1=1-3*n_AlF3;5 g( o/ b d) `0 C) t2 C* U
s2=0;' C8 u4 t8 t# H+ @
s3=0;
# E, u, t( ~$ y s4=n_AlF3/3;: r8 ?+ L: H" I9 v
s5=0;
" l% f; t4 L7 X' Q \* x4 i0 R& M* j# l s6=1-n_AlF3;4 V. @/ T. z' A A7 I- O" z% p
s7=0;
! j# l1 k. A& h. F elseif N>0
. _7 s9 m3 ]4 [# P" g6 U s1=RR(1);# y* g7 |4 A+ p
s2=RR(2);8 U4 }; |5 G5 P7 J6 L
s3=RR(3);
0 a- }! J6 `' h9 D( Z s4=RR(4);
4 ~8 j) B$ t- K8 g3 [1 l s5=RR(5);' b( p4 [( G' j
s6=RR(6);& b. t, C( Z( A
s7=RR(7);
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, D1 M# V, x6 j% N: O6 Q+ L# j6 q eps=1.0e-6;
' ~. f/ k. e3 c' R differ=1;
5 U. j8 k9 h+ { n=1;: c3 |0 L3 U4 B
4 V1 ?: ]8 W x7 n f1=x1*x3-0.2471*sum_n*x2; %0.247146 改为0.2471
( j/ x8 W# X% d) \+ f- k f2=x1*x4-0.1352*sum_n*x3;%0.135198 改为0.1352! q; W+ M `. F1 w6 @" u2 H3 |
f3=x1*x5-0.0003*x4^2; %0.000299 改为0.0003
2 X7 J. @" \& |& k1 z! Z: Q f4=x1+6*x2+5*x3+4*x4+7*x5+14*x6-( n_NaF+3*n_AlF3);1 p; w# K7 M5 _" ~3 a# l, t
f5=x2+x3+x4+2*x5+3*x6-n_AlF3;$ w9 \( {; ^# R ^
f6=x1+x2+x3+x4+x5+x6-sum_n;& Y: T; s2 T7 @% f r- U
f7=x4^2*x2-0.0000008*x6*sum_n^2;
' I% R; J$ Y+ q" ?: M F=[f1 f2 f3 f4 f5 f6 f7];
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+ j# l* N, ^ { dF=transpose([diff(F,'x1');diff(F,'x2') ;diff(F,'x3');diff(F,'x4');diff(F,'x5'); diff(F,'sum_n'); diff(F,'x6')]);" s; @& K1 ~' b2 u6 s1 R
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x0 = [s1,s2,s3,s4,s5,s6,s7];8 }9 ~+ b! f0 l! p/ A/ C/ e
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Fx = subs(F,[x1 x2 x3 x4 x5 sum_n x6],x0);$ B) s) W1 J' Y$ D1 F; a
dFx = subs(dF, [x1 x2 x3 x4 x5 sum_n x6],x0);; L' Y9 N% Q% j: P
%disp('*******************');9 Q8 X% z' G: G/ ^" r X( G
%disp(vpa(Fx));& u( [- N: L- b: x9 n# h7 _
%disp(vpa(dFx));
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/ M" i4 r; V* S! `8 P w' _ r= transpose(x0)- inv(dFx)*transpose(Fx);7 z, T3 P, v# i& ?' Q
%disp(vpa(r));
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while differ>eps
# G( _. k! e9 T9 P% p %disp('*******************');
" y9 R9 a& u9 m) n/ f: K Fx = subs(F, [x1 x2 x3 x4 x5 sum_n x6], transpose(r));
$ B- D) @/ d: m0 g/ S( I% y" P dFx = subs(dF, [x1 x2 x3 x4 x5 sum_n x6], transpose(r));
1 E) W( @ r/ e% { %disp(vpa(Fx));
+ B* t9 q: C" y5 L8 ?' N %disp(vpa(dFx));
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) D% S* i- N) @ differ=norm( inv(dFx)*transpose(Fx));
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4 a: ?" }1 S3 v) r% T2 U2 |5 q% y r=r-inv(dFx)*transpose(Fx);+ O' Y: `7 @ j/ J
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%disp(vpa(r));. A4 b2 Q+ p( B G* `" z& D
: Q7 g4 d' n# a( P6 w1 ? n =n+1;
. A6 x n3 O9 M# k if(n>100);
( N) I# W) T0 [! E' k disp('iteration exceed! Not converged!');9 z7 e \, K4 R6 p
return;
$ P' \" v) l+ R end;
3 e1 Z9 L) n& u6 { end;
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%r=[n_AlF3,r];6 u+ c& z) v( h& k8 }; a. F
RR=vpa(transpose(r));
/ E6 k- j% {, x9 D* [ disp(RR);& H7 @8 K8 h4 z/ X o3 r6 s* V) C
N=N+1;
6 t5 B0 L% o1 C5 r7 d5 yend;
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