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运行报错信息如下:- H6 O* r) Y8 A, k/ Y9 t0 t" N+ ]
, V G1 D, u. d无法从 sym 转换为 logical。( F& [. V+ ?! R- f' f
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出错 M (line 65)0 Z/ O2 C8 m% _2 N
while differ>eps0 r$ c- u, M- p6 R& V# h- X
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代码如下:7 p& @) e4 Z$ G2 E
clc
% U6 r4 L9 v/ z* I7 x* \+ [+ Kclear: k3 Q P% ?+ h6 r6 Y1 } ^0 D
%Newton iteration-Multi Points) f1 M- C; f7 X. O( b
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syms x1 x2 x3 x4 x5 x6 sum_n n_NaF n_AlF3;$ G" s# e( k3 M; q A! B
syms RR;
7 w( Q1 g+ x! t4 ~& L- D: lsyms N. k# I$ j1 Q% H9 t) q5 b. u
RR=ones(1,7)/10e11;/ n0 M( s8 S [# L. }- g; o
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/ x7 ?9 A( ]9 A8 A+ m, H& i%****************
3 Q( @/ D) f. r( J: sT=['n_AlF3 ','x1 ', 'x2 ', 'x3 ', 'x4 ', 'x5 ', 'x6 ','n_sum ']; %; \ y( L v- }; Z7 J
disp(T);
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N=0;
* x- _, N3 H+ Q" D2 I% m9 j6 k& A' Efor n_AlF3=0.01:0.01:0.5; %%
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0 K; N; n0 q' \4 r disp(n_AlF3);
* Y9 s, ~4 _& n1 a& [2 U disp('--------');
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! Q7 [7 i: h- K+ s! \ if N==0
# R# Q+ D8 P" Q s1=1-3*n_AlF3;7 o) p- P: K/ ?8 L3 z, r
s2=0;
$ Z6 M: X5 I$ n, H, l& h4 ~6 K; u s3=0;; [, p' u/ S4 v s" y
s4=n_AlF3/3;
' M- l5 V8 E" u% U+ B! ^% m s5=0;* d6 A2 S0 W+ ^0 U! f6 y6 o F: P
s6=1-n_AlF3;* E3 }1 N/ N5 Y! ~; I2 O
s7=0;
' F+ \* n1 w0 ^, |* s' l/ u) v1 ?) b- f$ c elseif N>00 S( b) D/ p9 s0 Q% X H
s1=RR(1);8 }# t1 W ~ o" x2 D" d
s2=RR(2);8 r8 l# }3 A$ D3 U2 d4 i y- B
s3=RR(3);
% D& p9 O2 }4 p5 Q) Q2 e s4=RR(4);
% |) o5 @% m: c3 {) Z s5=RR(5);" `* y( u! f4 e* M) P& k
s6=RR(6);
( E8 h# Z. s% w0 M k: b s7=RR(7);" J' ~5 T" l# p- x- d/ `
end
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eps=1.0e-6;
( e3 e/ |( D( h. n( X differ=1;
% |/ F" R" b5 [: d' e, }# x n=1;
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f1=x1*x3-0.2471*sum_n*x2; %0.247146 改为0.2471
6 A: m- E3 k3 U$ U f2=x1*x4-0.1352*sum_n*x3;%0.135198 改为0.1352
3 A6 w; ~- ]) D& @4 G+ J f3=x1*x5-0.0003*x4^2; %0.000299 改为0.0003
3 S) Q( S/ H% n: ] f4=x1+6*x2+5*x3+4*x4+7*x5+14*x6-( n_NaF+3*n_AlF3);9 {& @* t4 L1 y0 x; k+ W
f5=x2+x3+x4+2*x5+3*x6-n_AlF3;
0 n0 ~4 K' I3 }. @; F f6=x1+x2+x3+x4+x5+x6-sum_n;' V* Z" n$ }" K2 S$ z" z
f7=x4^2*x2-0.0000008*x6*sum_n^2;
8 k0 K1 O. }3 ^& W! O. n F=[f1 f2 f3 f4 f5 f6 f7];
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" p0 ?+ H8 c' i! ]9 T dF=transpose([diff(F,'x1');diff(F,'x2') ;diff(F,'x3');diff(F,'x4');diff(F,'x5'); diff(F,'sum_n'); diff(F,'x6')]);2 M/ c5 p# d% C$ q F+ X
* Y1 O( e2 n, \" v+ T x0 = [s1,s2,s3,s4,s5,s6,s7];+ B; N3 L" F6 p0 q
2 s2 t/ T0 g8 f1 u. T Fx = subs(F,[x1 x2 x3 x4 x5 sum_n x6],x0);
- T$ S9 S+ T9 s9 Z: i$ {/ T) J3 m7 ^ dFx = subs(dF, [x1 x2 x3 x4 x5 sum_n x6],x0);
3 Y5 d2 C7 \- H" N8 V %disp('*******************');
& c1 a$ j" c$ p5 G! y+ p. X %disp(vpa(Fx));! |6 [* z- Q( D; J0 J
%disp(vpa(dFx));8 s. n- @7 v2 O1 a3 g
+ O$ l1 r5 i- r a% J1 P r= transpose(x0)- inv(dFx)*transpose(Fx);
6 ?0 s; a* t3 x q3 B; P- B6 T %disp(vpa(r));
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while differ>eps
6 J0 @- J4 o& }5 o* v %disp('*******************');" J" t- c5 g/ D, j! a
Fx = subs(F, [x1 x2 x3 x4 x5 sum_n x6], transpose(r));! ^0 @% Z3 K- @5 {
dFx = subs(dF, [x1 x2 x3 x4 x5 sum_n x6], transpose(r));
2 [- a- x' C) T3 H) Y' x [' X' ~) k %disp(vpa(Fx));9 |1 X. Q! N e0 N$ h" h/ |
%disp(vpa(dFx));7 f; b' x6 e. j% W3 S. A3 @
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differ=norm( inv(dFx)*transpose(Fx));( O! Z/ b Q; a% p! z
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r=r-inv(dFx)*transpose(Fx);
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%disp(vpa(r));, v8 [5 z# I1 K8 @% A8 R
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n =n+1;; R( n6 H' ~8 I' d2 @
if(n>100);7 V0 L+ g# z ^4 |6 U8 c& H8 m7 x
disp('iteration exceed! Not converged!');
6 e+ G: P' k0 G- f1 w8 Z return;
# a8 a) b& t% v9 Z- ~ end;
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3 V/ t- t2 X8 l+ g) x) H% ^) c" M %r=[n_AlF3,r];
2 A( ^( Q1 Y! `4 u RR=vpa(transpose(r));: x4 x4 s% e2 H1 e T
disp(RR);
o- L6 S/ r7 |2 y N=N+1;8 M! t3 q A& d- |
end;
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