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运行报错信息如下:
* V% E" V. h% b; T9 T: H5 h5 g& ]/ _8 e# n) @9 W
无法从 sym 转换为 logical。$ v6 ~/ H# i* V8 i# }
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出错 M (line 65)
8 U9 y0 ?' C9 o+ r0 p! v while differ>eps2 f% B8 h! o4 x$ C2 ^
2 b8 ~9 H' D0 K9 K" |0 T7 p" P* m- A* @ |3 C+ j
代码如下:
! M" @& y- q* w. Cclc
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%Newton iteration-Multi Points Z+ K \" i9 @ W; a8 @
% k& U6 U0 ^1 e* \( u, L) M7 B3 H. L7 ]7 c9 i
syms x1 x2 x3 x4 x5 x6 sum_n n_NaF n_AlF3;
+ B, d* B6 T1 \. f! Usyms RR;3 F: P5 |3 U4 T8 O
syms N
3 C5 w+ {1 u0 @" jRR=ones(1,7)/10e11;, N8 n( T2 R$ w7 f
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, t5 x2 E" {, s+ p%****************, A3 N5 o. h x; o' Y( _
T=['n_AlF3 ','x1 ', 'x2 ', 'x3 ', 'x4 ', 'x5 ', 'x6 ','n_sum ']; %9 v# w8 ]& @5 u; j$ T6 o" k
disp(T);
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N=0;
8 O V, F, F" u: A6 u/ _for n_AlF3=0.01:0.01:0.5; %%. _6 ^ n4 e8 z2 i3 e' ?4 M
7 v$ e5 p* d" @- T disp(n_AlF3);
( e2 [, L& r" r9 ] disp('--------');
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if N==0( i% v$ v. F; u
s1=1-3*n_AlF3;
" V; @$ ?3 {1 A$ a: @' S- q N s2=0;2 d2 V* d1 Z5 o' i3 I
s3=0;; B5 t% @8 A! N
s4=n_AlF3/3;! {- P: d. H+ p" f8 n" b- C9 Q
s5=0;+ U& U: [0 T% g1 x9 R
s6=1-n_AlF3;
: G" S# O4 s$ s" u1 H s7=0;- p* e- W8 t' S- q) P9 e/ L4 k. S
elseif N>07 Q6 o9 L# T+ a" Z
s1=RR(1);
8 {4 H9 C# `8 \% M! [ s2=RR(2);
3 m9 n4 N' H5 Z% w' g" ` s3=RR(3); n& v: c: }" K+ O
s4=RR(4);, L: k! A5 v2 C8 d
s5=RR(5);$ L: `& p* B( B( A+ H6 ^- T
s6=RR(6);/ i r( y! [, Z7 d2 o
s7=RR(7);
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eps=1.0e-6;9 ^6 d) t0 w1 {" D$ u
differ=1;8 l+ M/ X, z8 O- Z
n=1;
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f1=x1*x3-0.2471*sum_n*x2; %0.247146 改为0.2471& F/ L" W0 @9 m! z0 j
f2=x1*x4-0.1352*sum_n*x3;%0.135198 改为0.13528 B, ~( k/ C- L7 c' l
f3=x1*x5-0.0003*x4^2; %0.000299 改为0.0003
; _% [* u8 [! Z6 @0 N f4=x1+6*x2+5*x3+4*x4+7*x5+14*x6-( n_NaF+3*n_AlF3); z+ G# b' _7 B* @" g8 P& h% H
f5=x2+x3+x4+2*x5+3*x6-n_AlF3;
0 R1 I% o! }) r6 L: C0 @ f6=x1+x2+x3+x4+x5+x6-sum_n;' ]0 Y8 i- {) R; N
f7=x4^2*x2-0.0000008*x6*sum_n^2;
- j) C2 D9 K; j5 H9 N F=[f1 f2 f3 f4 f5 f6 f7];" D" G D9 ~0 {$ z, N
# n* G2 I' T. E6 B( u% K3 z dF=transpose([diff(F,'x1');diff(F,'x2') ;diff(F,'x3');diff(F,'x4');diff(F,'x5'); diff(F,'sum_n'); diff(F,'x6')]);8 J8 G( C" o$ Q$ g- Y& M4 h
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x0 = [s1,s2,s3,s4,s5,s6,s7];
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. E0 ]; c$ e- r/ i8 Z Fx = subs(F,[x1 x2 x3 x4 x5 sum_n x6],x0);. H3 A. a- S7 `
dFx = subs(dF, [x1 x2 x3 x4 x5 sum_n x6],x0);1 i7 A, U) T, `" A% I7 W
%disp('*******************');
/ o, @5 b9 N: u. f5 D6 r( R& Y! O %disp(vpa(Fx));' M( D3 }) }0 ~* ?7 `9 z
%disp(vpa(dFx));; P/ ?& x$ R9 B: g2 @
* N; r/ D; m" Y5 S* M: z( I r= transpose(x0)- inv(dFx)*transpose(Fx); S1 r2 O4 S; m& _! { p! Q
%disp(vpa(r));
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. ~: H% E' a1 r$ Y+ {# O/ | %disp('*******************');
3 J+ c; \: n% Q2 L: q( a' a Fx = subs(F, [x1 x2 x3 x4 x5 sum_n x6], transpose(r));0 H$ a. L! K! z* l9 C
dFx = subs(dF, [x1 x2 x3 x4 x5 sum_n x6], transpose(r));
3 k5 z5 s3 N0 K8 Z( q %disp(vpa(Fx));+ r( Z" e0 B$ a- f
%disp(vpa(dFx));( O3 s2 Z% k) a" u
8 k% _" R. b: M& l differ=norm( inv(dFx)*transpose(Fx));
u; |: P# v! X- p
; v a. Z5 G/ H1 o r=r-inv(dFx)*transpose(Fx);# s( G6 U2 A1 U3 R6 T, X! R
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%disp(vpa(r));6 P: _/ n* L! L5 F* C0 C, D3 P
7 ^9 e2 u5 ]5 S; ? n =n+1;
" v3 B$ B: @; w' |9 A if(n>100);! J2 m( Z! d: o! l& t& d/ K
disp('iteration exceed! Not converged!');
% s6 Z/ a2 {. T" I9 N2 x return;
% [; B6 B/ K( f5 p' N% Y3 u5 W end;: ]# p% U: b8 Z# K6 ~- z8 @
end;/ Q% U8 E U* g5 ^5 j
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%r=[n_AlF3,r];- j1 t8 G( Y& ^ @9 Q
RR=vpa(transpose(r));
! @2 R& m' @4 r9 d2 t# w- B" t disp(RR);2 l' E! a! n2 j9 t' M: q0 A# c
N=N+1;
8 Q( z2 L0 y. `2 m# N$ k$ gend;
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