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& P$ m% C3 O! C运行报错信息如下:( r% _; K" J! ^7 T2 A
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无法从 sym 转换为 logical。
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- O5 I' k" t; e4 V: ]7 F" G出错 M (line 65)
& U T% m5 t" X& f6 i q while differ>eps
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代码如下:: K- G/ b2 b3 w$ I/ d
clc$ h- P( q4 b$ O" p5 I. z
clear1 q9 A& c- L' ^6 b4 J0 I5 j. s+ {# f. [
%Newton iteration-Multi Points; p: J, `% b w& M# [6 b
+ O1 x' i; X% K- V
1 n) c4 O+ g2 X# asyms x1 x2 x3 x4 x5 x6 sum_n n_NaF n_AlF3;
0 _! N2 W! p2 Y' f9 @9 nsyms RR;
9 _! r. E) c) A- W6 m* |! J. `syms N; s4 ^1 h; k) R& I2 j* r7 A9 y
RR=ones(1,7)/10e11;
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) w: ] E; I5 D( |3 O, `5 ?3 s/ j%****************
. R9 W2 \ [! ET=['n_AlF3 ','x1 ', 'x2 ', 'x3 ', 'x4 ', 'x5 ', 'x6 ','n_sum ']; %
) o4 H- [" i& j! t% ]2 a6 Zdisp(T);
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N=0;
, n* Y. t: O2 }: ^& rfor n_AlF3=0.01:0.01:0.5; %%9 ^6 h8 C! `5 R* V$ d
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disp(n_AlF3);
: k/ r0 h4 l4 H r3 G disp('--------');2 S" f6 m1 |* [& y% `0 R7 n' \4 Y
6 [2 a2 {8 `* L y M/ C if N==02 k5 W" I+ V; v2 `7 P* W2 i
s1=1-3*n_AlF3;/ Z& b" o' v- K: ~. y$ e
s2=0;
H. \! z8 ]5 k% D# p& O1 o! F5 W( N s3=0;
5 g1 ~+ Y0 e/ k; S5 m) f) b s4=n_AlF3/3;6 N# w6 u/ V' C+ h- p
s5=0;4 x% Y% M5 d0 ^, V J" _ I: m9 v
s6=1-n_AlF3;; |) W3 U3 `* T, n! _% c3 ?0 i2 _
s7=0;" x3 U' H' `9 `& o& p
elseif N>0
; u3 _, ]1 n* L( ~% e; F* t s1=RR(1);! u, A3 |6 e2 F, B* i2 N& b
s2=RR(2);6 T) t% p# T1 Y+ a+ g5 w- m
s3=RR(3);# O' I8 K0 X& n+ s% g5 l/ y
s4=RR(4);7 a# A- |& T7 W6 V) |6 o# Q
s5=RR(5);
$ O" r/ k q; Z s6=RR(6);( b5 v( M4 r( t, q5 y4 q* M9 B$ \
s7=RR(7);3 H4 A+ i/ a, U
end
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eps=1.0e-6;4 k5 _, v$ m$ r3 ~. V& {! q+ _
differ=1;! q" a; r$ S( l: d# J/ y: a, K/ O
n=1;1 N: Y. k6 F; @: I9 J0 n
5 n {1 o% g6 V" l1 k8 X. l f1=x1*x3-0.2471*sum_n*x2; %0.247146 改为0.2471
1 n+ h8 ~. z5 o f2=x1*x4-0.1352*sum_n*x3;%0.135198 改为0.1352) H" M8 `, l$ A" M
f3=x1*x5-0.0003*x4^2; %0.000299 改为0.0003
. j# z# \% [' ?' o+ ^, u f4=x1+6*x2+5*x3+4*x4+7*x5+14*x6-( n_NaF+3*n_AlF3);
+ Y' {3 c# }5 p! ]8 y6 x# k f5=x2+x3+x4+2*x5+3*x6-n_AlF3;) t" F+ F! D5 P' X: U# S
f6=x1+x2+x3+x4+x5+x6-sum_n;7 J8 E3 A+ N+ d" c8 {& c6 G
f7=x4^2*x2-0.0000008*x6*sum_n^2;8 S+ V6 ]4 a( Z1 y" ?# Q' T9 f- p
F=[f1 f2 f3 f4 f5 f6 f7];
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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')]);8 @" [! i$ D) e. U' R8 t% c' @
0 o4 H. I+ u7 z4 O3 p: p x0 = [s1,s2,s3,s4,s5,s6,s7];, k' Z) g4 P6 o% M) a& m
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Fx = subs(F,[x1 x2 x3 x4 x5 sum_n x6],x0);. T0 R, Z8 ^" J! \5 I0 J/ e7 D
dFx = subs(dF, [x1 x2 x3 x4 x5 sum_n x6],x0);
# D" l1 ~7 }( }( P3 d8 p6 X %disp('*******************');
2 p* W/ |0 k9 F: m %disp(vpa(Fx));
" }# m' q. p+ ]) g2 ^ %disp(vpa(dFx));( U7 H. L8 e6 g* o4 S' U6 b% h
' ?; H9 t5 N: I' {1 ]9 K j0 a: W r= transpose(x0)- inv(dFx)*transpose(Fx);
+ r) n' ^$ x) @- S, e& D# K %disp(vpa(r));: u+ b3 P& V" r- m- q7 i
0 s7 G# H9 @$ r. t8 v# R' X7 G while differ>eps
3 r2 o4 G2 C3 A, O$ T& x5 @ %disp('*******************');+ n, S7 d8 }, D+ w) E
Fx = subs(F, [x1 x2 x3 x4 x5 sum_n x6], transpose(r));
# F1 _& S7 M$ ] dFx = subs(dF, [x1 x2 x3 x4 x5 sum_n x6], transpose(r));( S1 b6 o* z# V! }" T
%disp(vpa(Fx));
! C, \/ J% f. k; c %disp(vpa(dFx));
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differ=norm( inv(dFx)*transpose(Fx));
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9 @2 u( x$ \; ?( l4 ` r=r-inv(dFx)*transpose(Fx);8 ?6 Q$ G1 ]9 w; i7 h
5 W) p& w' m' w %disp(vpa(r));. r" O7 m3 S9 Z; W* L' D
1 X: z3 D% N/ N n =n+1;
3 w) p, B, K7 j- r( @0 N1 f0 V) x if(n>100);2 K; K+ K$ x+ G& I: [
disp('iteration exceed! Not converged!');
$ C8 q6 L: P% ~1 [# Q6 X9 Q9 Z return;
3 j2 ]1 a0 V* J8 l1 R end;* h/ \6 z! V( w) y4 i i) S
end;8 m$ @3 z5 q) ?2 i- f% y
% b- e& j; l: ?3 R1 l, x9 X0 e1 v, J3 A %r=[n_AlF3,r];
[; a1 {# U/ B$ f RR=vpa(transpose(r));
7 `9 |/ s8 A0 L, V4 g B- ?# K9 V disp(RR);' u+ ~9 u! k# u3 n- M0 j. p
N=N+1;( l) f1 O( W1 }4 f
end;
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