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运行报错信息如下:
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- L" L2 O- N1 k. g无法从 sym 转换为 logical。, X, P- {: Y) ]! B
/ v. o0 z; a1 G- K出错 M (line 65); ]8 [7 D: P8 M; T0 t
while differ>eps
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代码如下:. ~8 n7 m8 s# E+ Q
clc! Z9 B" ^$ `. D1 H# d* }, N
clear' a+ ^* h8 Z# L" l+ S" b; \9 e( R: t
%Newton iteration-Multi Points9 O0 \; g' v2 ]0 P Q) F$ D5 U
# n+ P8 L# {- _9 `8 d. K0 w, C/ ]+ W' h' c8 R# |6 ]8 k( L: Q
syms x1 x2 x3 x4 x5 x6 sum_n n_NaF n_AlF3;
8 s" W8 j8 g; n( ?syms RR;' P1 _8 T0 R9 h1 V; U
syms N
( q" @$ r: e1 j7 o5 {* jRR=ones(1,7)/10e11;
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/ ]) _! Z# H9 n. V8 r7 C%****************
/ l: M/ O" S2 i: }* gT=['n_AlF3 ','x1 ', 'x2 ', 'x3 ', 'x4 ', 'x5 ', 'x6 ','n_sum ']; %
1 `$ v. ~+ P9 l* U j! D# F- {disp(T);
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3 \% B5 a/ _/ v/ o( l
$ r! ]" C6 h% E' @( h9 R* Z$ n1 WN=0; H9 h0 t! O, y9 D+ F; L1 t
for n_AlF3=0.01:0.01:0.5; %%0 O4 \+ y9 E3 L" ?) Q2 H6 Q+ v
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disp(n_AlF3);
. y7 C9 ^9 I8 U6 D' A2 k disp('--------');5 }, Q) M* h8 q% x! w: R2 p
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if N==0( D3 ~" S R; k& [+ y& V
s1=1-3*n_AlF3;# e1 E* B( P1 m. ]
s2=0;9 i/ j9 D$ d+ L* a, G% f% q
s3=0;8 ~4 |: r; x- }& y- T
s4=n_AlF3/3;
/ F) i. M% |( x" g: C s5=0;9 e' K$ E# A Z7 Z& |+ D
s6=1-n_AlF3;
7 P# ?9 `5 \' v/ E- r s7=0;5 T6 C1 g8 q9 Z/ p
elseif N>0
8 v4 W7 X1 [; B% J7 V5 z s1=RR(1);
m- c6 j4 m% D! P s2=RR(2);
( X5 u3 q1 d h, u' y4 d# L# ^0 o s3=RR(3);! y0 l U; K' k3 W% v# @8 `' {: H
s4=RR(4);
" \) W' e) O2 p! Y s5=RR(5);
) i& ^" W- V2 M$ \% T3 \' p s6=RR(6);$ @& ?: N6 k6 q3 I6 s! M
s7=RR(7);
8 C! R* n% E# E' ] \ end1 C; M1 a) C+ u3 x5 U
1 `8 B9 m* B9 s! @ eps=1.0e-6;
) Z) E* h, h: o v" q differ=1;2 ] f; E8 p" d& K. L) k
n=1;) t4 k; C8 A6 T; c& h
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f1=x1*x3-0.2471*sum_n*x2; %0.247146 改为0.2471& b1 Q, Z# u% e8 J- |6 u
f2=x1*x4-0.1352*sum_n*x3;%0.135198 改为0.1352
* u8 U: m5 v9 U: j% r' W4 u* S U; j f3=x1*x5-0.0003*x4^2; %0.000299 改为0.0003
! N. z C7 `1 ?; y- ]' S f4=x1+6*x2+5*x3+4*x4+7*x5+14*x6-( n_NaF+3*n_AlF3);
: s" Y- F+ ]2 `" s3 {5 p; S/ w f5=x2+x3+x4+2*x5+3*x6-n_AlF3;& Z4 k H* p. ]# e' O
f6=x1+x2+x3+x4+x5+x6-sum_n;: p- A4 G4 N; Q$ h5 l4 D) _
f7=x4^2*x2-0.0000008*x6*sum_n^2;5 V. k V& h. H0 E/ J
F=[f1 f2 f3 f4 f5 f6 f7];' y# _, r3 F- \
! {3 y( x2 t- t2 f+ p 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% G% e9 ?2 S1 c6 n/ f; t
3 p/ ]# C7 e6 `& y5 c. i0 d0 ~ Fx = subs(F,[x1 x2 x3 x4 x5 sum_n x6],x0);0 T& b5 a$ k& Z. ~
dFx = subs(dF, [x1 x2 x3 x4 x5 sum_n x6],x0);' O( {0 {* w/ b0 ^
%disp('*******************');
& |" [0 I' q' j %disp(vpa(Fx));; ^9 ?$ `: r' B1 @% \1 Y7 m7 R
%disp(vpa(dFx));
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3 M& |. y b3 Y: x. E: o, G r= transpose(x0)- inv(dFx)*transpose(Fx);4 y( l" ^ ?( C7 v o: }/ J V' `
%disp(vpa(r));
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$ r1 W3 \2 A9 d5 o8 J. a8 Y while differ>eps
+ L' M* Q7 |# f- T %disp('*******************');
% k! |' Y7 I& b# \" c4 o Fx = subs(F, [x1 x2 x3 x4 x5 sum_n x6], transpose(r));
! B* V6 H" J ~& E. l; T dFx = subs(dF, [x1 x2 x3 x4 x5 sum_n x6], transpose(r));6 r. m& w: e* F5 d& x& p! ?" R
%disp(vpa(Fx));
% c4 M# J" q2 n4 j5 C& J& B %disp(vpa(dFx));
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differ=norm( inv(dFx)*transpose(Fx));
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. X& S3 E. I7 ]9 O/ T r=r-inv(dFx)*transpose(Fx);
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%disp(vpa(r));7 B% @$ _2 v! @* R
; T5 g6 `& V0 k, a6 U n =n+1;+ A6 W* J6 ^$ d9 [% O( Q
if(n>100);7 I$ v! e' v7 u" q
disp('iteration exceed! Not converged!');
* f9 B9 W- g$ h/ h$ _ return;9 o. C4 d5 B' K' ~
end;: I9 h" `* Q- B% Q' k$ r( J
end;' u! Y4 T% K; z; O; i
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%r=[n_AlF3,r];
1 o& f$ `9 O1 u+ P M0 O2 l' M RR=vpa(transpose(r));6 n/ _% W9 J' P
disp(RR);
+ D# t: w; l* K' E. k+ H; _ x N=N+1;: y5 V/ F: p9 M
end;
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