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运行报错信息如下:. q( `+ z: I$ _. I8 `; F
; X: D5 V& j& @2 @" i无法从 sym 转换为 logical。3 {: T- z, f+ D3 ?1 w; L
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出错 M (line 65)
! n9 ~& O% N& |- O6 ]3 `4 B while differ>eps
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代码如下:; `3 e) m6 d$ k6 \0 W0 ]9 J
clc
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%Newton iteration-Multi Points9 J* p( S/ G4 \
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syms x1 x2 x3 x4 x5 x6 sum_n n_NaF n_AlF3;
. p/ u% _& z ^% `syms RR;
4 n$ p+ b" w7 @; Z; }- K* zsyms N
+ F9 b* @8 K- |5 b& Z& v- nRR=ones(1,7)/10e11;/ n/ x8 n4 } X
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% `+ i' E) Q, j: U" r%****************
, S1 p& I* o. k) }; Z+ dT=['n_AlF3 ','x1 ', 'x2 ', 'x3 ', 'x4 ', 'x5 ', 'x6 ','n_sum ']; %
$ e0 i+ h) g- K$ idisp(T);
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9 f) i6 e6 H" \& wN=0;
- j" s( ?4 C# X& v+ qfor n_AlF3=0.01:0.01:0.5; %%# z: V( \. ]. h! M s
+ Q! r* I4 O8 ?. R disp(n_AlF3);! O) H5 P X8 ^' ]
disp('--------');% v8 A8 t4 N5 j$ F# b, ~% {$ E
: q3 U: l8 X6 s0 V8 d! X; \ if N==0, N. b* }1 `) E
s1=1-3*n_AlF3;
( ]; }8 Q6 H0 s; A1 `* j/ K0 N s2=0;: ^' h2 V( I6 u2 L0 b. w Q$ o) g
s3=0;$ U) b" T# D/ l6 |: F
s4=n_AlF3/3;
, J4 l! W+ X! v0 b& U: S s5=0;8 O1 @; e7 a- R' j7 W4 _. D& e
s6=1-n_AlF3;
' P( k. r( c7 J E4 y s7=0;' y6 |: Y x5 o% D: D
elseif N>0
+ y! f9 P0 {- Z6 e' |" l s1=RR(1);
- A- a; n8 A. Y- J' s6 z s2=RR(2);, n2 X( X8 I2 P5 H
s3=RR(3);
. w$ S- i- I1 ~) Z s4=RR(4);
$ X+ k i \" s+ {1 D4 b s5=RR(5);
* S1 O( Y$ A2 c( L/ u' ^ s6=RR(6);' n. ^5 v( n0 n9 ~
s7=RR(7);
. U% i' w: L, `; c9 u end
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2 p1 u7 v+ r6 j0 i/ z& ? eps=1.0e-6;
- F, c& O3 A1 |- t) ~% F differ=1;- V" x* O/ |( K# i6 b. w1 T
n=1;: X; D& n+ A$ l! }9 J+ P# h' B
( L' L0 a$ G9 T8 \/ h) L f1=x1*x3-0.2471*sum_n*x2; %0.247146 改为0.2471
& y+ b( A( A2 g( M4 o4 u% E f2=x1*x4-0.1352*sum_n*x3;%0.135198 改为0.13520 l, M4 n% i0 c7 s/ s: E6 |. I! e
f3=x1*x5-0.0003*x4^2; %0.000299 改为0.0003% q* o5 K% f$ `7 A' n& q
f4=x1+6*x2+5*x3+4*x4+7*x5+14*x6-( n_NaF+3*n_AlF3);* \* j/ R) O7 Z: o+ O, w
f5=x2+x3+x4+2*x5+3*x6-n_AlF3;
5 ]: W8 [; U6 n; [ f6=x1+x2+x3+x4+x5+x6-sum_n;
6 }5 U5 d5 _5 d6 Q+ M& v$ \ f7=x4^2*x2-0.0000008*x6*sum_n^2;
0 c+ f8 |, b6 [/ u5 b/ e F=[f1 f2 f3 f4 f5 f6 f7];' q" P% ~- ~, x1 J O3 u! S
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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')]);# x4 r2 V% Y8 a0 N) m- N( ^3 a" O: p
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x0 = [s1,s2,s3,s4,s5,s6,s7];
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Fx = subs(F,[x1 x2 x3 x4 x5 sum_n x6],x0);
% n( a- O* {7 H" B1 A: Y dFx = subs(dF, [x1 x2 x3 x4 x5 sum_n x6],x0);
7 v4 O) Z0 `0 Y3 E9 c" p- n3 _/ s %disp('*******************');
& ^: ~" M) T$ ~ %disp(vpa(Fx));
* g/ k4 K2 K- I( B %disp(vpa(dFx));
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A9 l" J/ @9 F* H* w: ~ r= transpose(x0)- inv(dFx)*transpose(Fx);7 v/ S' R) N9 h+ y' W
%disp(vpa(r));
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while differ>eps' }5 J8 s" w4 m8 q3 T9 x
%disp('*******************');& T1 ^' r! ]6 Z' v
Fx = subs(F, [x1 x2 x3 x4 x5 sum_n x6], transpose(r));6 e$ \6 Z& W9 s; ~1 J
dFx = subs(dF, [x1 x2 x3 x4 x5 sum_n x6], transpose(r));! @, r. r+ A; [9 `" y0 i
%disp(vpa(Fx));
: x! E; ^1 @( {! S; t0 i7 ] %disp(vpa(dFx));
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: a& d8 v9 ?# ~. R, e differ=norm( inv(dFx)*transpose(Fx));
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r=r-inv(dFx)*transpose(Fx);
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4 t; O7 H& ~" j& F, J- \ %disp(vpa(r));" J- v- k$ l% @
/ }/ z9 G H# i* {2 p- ~) D( i n =n+1;
9 j: m2 J* d/ L$ ~+ x* R$ @ if(n>100);
% y: `6 v: N' h disp('iteration exceed! Not converged!');, n: U2 d! X* P4 b
return;
" ]; [* {& O7 u6 H7 b+ `, G end;
U: g2 q5 W: J! M end;* S/ g+ P8 b: T8 K
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%r=[n_AlF3,r];: \& F! ?& R: q
RR=vpa(transpose(r));& V b- L0 N) k" a
disp(RR);8 |/ }, l% w/ C6 }0 h
N=N+1;- N' c3 B& |' ^6 X
end;
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