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發(fā)表于 2015-11-17 22:57:48
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function solve_nonl_single1
9 z3 @1 g1 L+ K cclear all;clc
, {& @' q- \+ M! Kformat long" P( A8 @6 z/ T6 U; ^1 z
global a
6 u; m/ V* b' ~* p: fa_span=linspace(-0.06,0.06,200);. e F) i F( L o) V
n=length(a_span);* |# r' S3 A' n8 t# z. T% G
x0=1e-9;
4 ~% t b3 P$ N- eoptions=optimset('Algorithm','trust-region-dogleg','TolFun',1e-12,'TolX',1e-12);
6 u4 ?" B, K+ E7 V" W9 nfor i=1:n
9 q1 ?% x' E' h6 A1 J4 p4 z a=a_span(i);
9 o) {4 `" A' j* c# g5 ~- M x(i)=fsolve(@nonl,x0,options);
; v0 G/ h' C% d* I! ? y(i)=nonl(x(i));8 X$ y3 \7 J! p: c
end
( l: W& a4 o' ^ k& Za_span', x',y'
; J, [9 J* g4 W+ b6 ufunction f=nonl(x)3 i2 |: F! A1 p9 y7 }
global a
* S$ A% {0 u% @2 uf=1/2*(285+60)*3000*sin(x)-1/2*(25*sin(x)*sin(a)+(60-25*cos(x))*cos(a))*3000*sin(x)+60^2*25*sin(x)*a*sin(a)-60^2*25*cos(x)*a*cos(a)-60*285*(25*cos(x)*sin(a)+25*sin(x)*cos(a));
3 y$ X* {% \) @ m: @8 ^2 Z5 `* P* u- ~
運(yùn)行結(jié)果 ans =1 B3 Y2 i, K) K, l% S0 _
-0.060000000000000
/ O. [$ W& o( N; R -0.059396984924623
& Q/ u# d( p) m1 N: T) I -0.058793969849246/ Q. G; g5 M% Y" y8 v% X/ f
-0.058190954773869
" k: i7 I4 p6 E. \6 z" }# S -0.057587939698492
4 A x) |3 t7 ~- [5 s( j' \. K7 m -0.056984924623116
8 Z8 |& L! c- ^, p8 J -0.056381909547739
: ^$ \. N% q f$ f) t# ^ -0.055778894472362
3 e. e2 c% w# I) n- E -0.055175879396985
$ u5 W& y7 U" m8 k; P; c -0.054572864321608. o1 w, j1 ~8 T& a9 ^
-0.053969849246231
7 o& I( y! x& I6 C! Q -0.053366834170854
3 t9 G0 j2 k Z3 Q' W7 e% P6 A0 V -0.0527638190954777 V( W/ n9 J" n$ u
-0.052160804020100
1 z9 R6 A$ P" v0 k -0.051557788944724
( w- u4 j& F- u$ W -0.050954773869347
# [( z9 q/ f. @) n- } -0.050351758793970
& T" R" B! g0 K9 b% Z, p -0.049748743718593$ K% D) l: j& M6 e/ k
-0.049145728643216
9 e+ p& q( ]& S0 S9 e0 Y4 y/ j -0.0485427135678393 g1 @! x' A3 Y
-0.047939698492462
/ ? D7 L) W+ }: U -0.047336683417085
* B) |! C! ~/ X# E -0.046733668341709
+ e4 s+ C1 J4 p5 n R/ n2 f5 j -0.046130653266332
5 x( h: Y N7 _7 y; d -0.0455276381909553 b' y- d2 U( @! q. L7 @
-0.044924623115578
3 C* @; J. ~2 j: V( w -0.044321608040201
" y6 S& S/ Z- I0 J -0.043718592964824# g) Q1 u# w! k+ ]# }/ w. y* u
-0.0431155778894470 z7 D: p- @1 I& [
-0.0425125628140708 K! S9 b# Q _' ^6 l4 d h8 `3 \6 x
-0.041909547738693
( A1 S* _; e6 l4 i0 D -0.0413065326633172 M7 ?0 t0 t8 X: @- `5 N3 \
-0.040703517587940! Y; F1 T' B* l& y: _" `% d! \
-0.0401005025125630 P) ~( y$ O+ B4 |$ l( ~ N8 r0 ]$ F/ W
-0.039497487437186
9 C, c5 z6 m" Z -0.038894472361809 _" p" f5 m3 L
-0.038291457286432
3 w% ?+ m0 o) i1 m! O, Q3 u7 O -0.037688442211055% F9 V. Y0 C$ Y
-0.037085427135678' k+ n$ U. {: C2 |, n4 g5 V; ^
-0.036482412060302- M- E& R- C; z: I" v l0 n$ Q! l
-0.035879396984925% t# u, ^ m z7 g$ }
-0.035276381909548
9 r% e# F. N$ }& G! B' M -0.034673366834171
W8 F; z; ?7 a2 D7 p' i: L -0.034070351758794
" ?, F5 b8 l( L; [ -0.033467336683417. q n0 O1 C) Z: m9 p( O' r2 Q
-0.032864321608040
& w4 O9 C2 K1 X! G- `7 `' |7 R$ ~: P -0.032261306532663+ ?+ y8 [! b/ m8 l& U1 ]
-0.031658291457286
' f4 o4 }4 G, ~5 V- O/ a/ m6 c -0.0310552763819104 V) r1 ~0 V* |- W0 L9 a- h
-0.030452261306533
# T$ N+ R& o4 I6 F5 W) y -0.0298492462311567 b9 d' U* G# v/ S/ v6 k
-0.029246231155779
% S/ Y1 H. b( l8 i+ m -0.0286432160804023 L- ~- |+ r9 o; }3 `! W
-0.028040201005025- P) ^3 ~4 ~) N3 ^/ ~4 L
-0.027437185929648" H+ P' Z/ c2 ?8 `; Q! Y' { \
-0.026834170854271
( h8 _" f7 |" A- O5 ]7 V -0.026231155778894
+ y1 b1 z& _4 @. e; Q -0.025628140703518
- q h3 D" S" X- p3 L -0.025025125628141
) X3 Y+ A* ~0 n3 l -0.024422110552764) b) w" x- v4 q( [8 C& B
-0.023819095477387. t5 \: z+ l* }* Y4 z5 i" d. {2 u" g
-0.023216080402010# N# k; y# o: a" k d. s* _
-0.0226130653266334 i* z0 k9 J7 t& Q# _8 J, j ~
-0.0220100502512564 G' C7 q1 q$ H) V
-0.021407035175879! E, e) c! {' f( K0 g
-0.020804020100503
1 R2 o- c: n' L -0.020201005025126/ j6 g: F$ o' e
-0.019597989949749! n( w- ?2 x3 H7 }$ W6 {% I3 `, R
-0.018994974874372% E0 Z9 N7 K" G9 h6 q. R
-0.018391959798995
& `( d* @1 ]/ A* |2 b -0.0177889447236184 u5 u7 p7 C: [, B) i
-0.0171859296482413 y3 o& s& e i
-0.016582914572864$ F. f5 H, A* _7 l
-0.015979899497487
' x* e7 C2 E4 e9 K& {! R/ V: T -0.015376884422111: Z# ^0 R }" v4 s# \# F$ ^
-0.014773869346734
' o* F2 b; @, b8 j- k% i& \ -0.014170854271357
3 S. b( o- R% @* l7 D -0.013567839195980! m( Y' O" |; I; S: j' X
-0.012964824120603. F% N6 E# W- L4 Z% K
-0.0123618090452264 Q( E4 G, ~: `0 h
-0.011758793969849
5 i' \, E& M+ L4 k -0.011155778894472& j# W5 e6 g1 E! K. ?/ k
-0.010552763819095& R8 |3 O7 l* n0 y
-0.009949748743719( I: o) |3 D- P) F
-0.009346733668342
3 x' [* |0 M1 L$ a9 |; k' }' `' h -0.008743718592965
: ~3 _8 @& P3 n' F4 {2 [7 \& h -0.008140703517588
) e, O5 H! o- N7 E" u7 r: X0 h" s -0.007537688442211: @2 b. N; l/ O/ Z# R+ j& t
-0.006934673366834" I3 x; Y( o! P9 D) o2 V% |, Q
-0.006331658291457
/ h2 Z+ g2 D6 b( F$ L- z* Y -0.005728643216080
? H3 Q9 o; v -0.005125628140704* I3 b- h# Y. ~1 e, C& f' I
-0.004522613065327
" f# Z, p c2 |' P0 f4 W -0.003919597989950
6 a$ h2 R Q j/ ~% G -0.003316582914573+ |: ^6 ]3 O9 ^7 U, q: `1 M* ~
-0.0027135678391963 W$ L( o8 E% {, D8 B0 J
-0.002110552763819
3 Y _% r: u5 o4 n. v5 {2 E -0.001507537688442; a, s3 b% j& D" F- M& W
-0.000904522613065* @$ u6 a' ^: l! Z
-0.000301507537688
" |- K4 o7 ~! E6 M! i" z; E' c 0.0003015075376885 A' q- C# {; r6 N( `
0.0009045226130655 Y n& s5 p: d- o' j: R3 L
0.001507537688442
2 B5 x2 m- F0 a! D 0.002110552763819" W# ^- N/ x! ?$ [" m7 [
0.0027135678391963 p' P* U2 r( x4 {2 |
0.003316582914573
- @* l0 d# Q/ H* M 0.003919597989950
7 m* h( }* H: j* n 0.004522613065327
0 w" @. l- u0 p2 u; z% N 0.005125628140704
( z& R9 Y0 J n. P. o 0.005728643216080
" s/ Y2 g4 s2 [2 V8 F+ d 0.006331658291457
. \0 }1 i+ V: L M* k" Q 0.006934673366834
5 `6 t' B/ T7 H: j( T' b) T2 B% Z3 R5 o 0.007537688442211 f k; k# l+ K; {
0.0081407035175888 J9 B0 k6 w" I, B- Z$ ]2 A8 s
0.008743718592965% `+ e/ A; p ] b9 w* O
0.009346733668342
: p9 q. ?) l9 Z6 g& X: k 0.009949748743719% v1 z& e& L* c. m% n
0.010552763819095
( `# z/ h# g5 y3 D' Q& K 0.011155778894472
- m. {% F6 Z9 `8 U, U, F3 c 0.011758793969849
4 D6 d7 ]8 F/ U- i 0.0123618090452268 L, \4 D/ m! G$ s& a( c; [; Y& C! k
0.012964824120603
/ J. E, O' Q; B$ E$ e- t% k( c 0.013567839195980
0 D& d$ A& I d/ W. c& s 0.0141708542713574 M6 o3 ]3 A D; {9 N$ z. K
0.014773869346734
& p; A5 @8 k: { 0.015376884422111
' q9 R6 o' @2 j, H( T. r6 C/ @ 0.0159798994974871 t. `' a( M0 I! k( T! A
0.016582914572864
! L; }6 G; R9 Q, t4 @ 0.017185929648241
2 P! D' B1 n" ~" K+ N; f5 d2 G 0.017788944723618
# e7 X. \- B2 o- I( U/ g: A 0.018391959798995
) D: a' l# f: h 0.0189949748743725 u* j0 h2 N# S( _" S G8 h
0.019597989949749
3 M# j# d* F6 Q2 m+ K 0.0202010050251266 k. {& }- X% i9 ^7 ]! W1 f3 x/ V
0.020804020100503
) J" h" Q! } n7 p- p 0.021407035175879" q4 L+ t! u/ z6 B
0.022010050251256: V% D; B" ~5 ^9 }4 r" P
0.022613065326633- O1 P) B2 _6 s, X
0.023216080402010 [( J3 z2 U) P' x1 V
0.023819095477387
6 V2 C& q2 z9 z9 [# c; D/ G 0.024422110552764
! ~$ \# _% d5 t, P2 D9 |0 D 0.025025125628141
7 G* ~1 V+ Z) \% A; p, }$ I8 j 0.025628140703518$ E4 W+ W* U5 i
0.026231155778894
2 P Z3 _4 h% K' J+ }7 }0 o; n8 a6 s 0.026834170854271, n! n4 f0 z! f4 W3 D2 U. q
0.027437185929648# j) y5 r+ a- P, `
0.028040201005025
/ m3 ~& F$ n4 a 0.0286432160804028 |1 H5 m7 N2 B. Y) c a
0.0292462311557791 o# j5 \4 z5 G; ?6 p2 f' C
0.029849246231156; R" k: M4 a( [6 W# Z: a
0.030452261306533
y2 a' h, M1 K9 S 0.031055276381910! R3 q, h% l( a3 U
0.031658291457286& x* @. n4 Y8 n5 c/ n& I
0.0322613065326634 q8 n& P# [5 k: o% K2 F
0.032864321608040) G9 n$ y' _+ i: O/ p2 \9 {
0.0334673366834175 \. B* N) t& h0 e) t
0.034070351758794
1 z0 }0 r3 K2 g+ I# j 0.034673366834171
H* o- j, U& B: i2 X 0.035276381909548
- S# i% `, }! S' R6 T9 P* L0 ` 0.035879396984925
' | F2 E8 ~( m: p7 h+ _9 x6 G 0.036482412060302: r% r o+ n! j/ o9 x# J3 e8 c
0.037085427135678- }( L# j- c- Y% q& M0 }1 e
0.037688442211055
/ [$ {9 S; h u- E. ~3 }4 |$ l9 A 0.0382914572864324 q! w h; v, }1 J7 X
0.038894472361809' |" |. V0 U4 P) e3 j b8 F+ }5 W
0.039497487437186$ b3 k& ]* k2 u& [. @; p
0.040100502512563. @) |( j U" I4 A7 P+ b; H
0.040703517587940
2 ^1 Z* @( l3 ?: R( t. ~: w4 ~9 a 0.041306532663317+ H. u8 x& d0 X" k
0.041909547738693
8 t. O( X: U+ T& K2 X 0.042512562814070
% Y V ~" B* M4 _; m% i) ~4 P& X 0.0431155778894479 @: M0 d5 P4 J% k3 J
0.043718592964824
: E5 S- d9 g/ e% `+ F 0.044321608040201. L `& J) g" ^9 R
0.044924623115578) y' m' }, S7 V- o- V6 y- x
0.045527638190955
4 l1 z& Z) B. z! D 0.046130653266332
% { H7 @2 Y$ J' X& N# g 0.046733668341709
; l3 a! V& u* S e! m1 y 0.047336683417085* [5 q5 U/ ?0 {
0.047939698492462" ]5 a: Y" {2 O9 }3 K( K' ]
0.048542713567839
" P0 n: M4 q) V2 Y; [3 o 0.0491457286432165 z. W. l5 }( O5 e7 C9 ^# L& j
0.049748743718593
0 c- b6 p: o+ I- O' s1 g 0.050351758793970
9 e0 B: t0 I7 f% Y a 0.050954773869347- c& B' l% }8 W1 z3 ]1 J6 F. A
0.051557788944724
8 U5 A' s7 u8 v" f1 H 0.052160804020101
* ?; j% H7 U- n6 M6 h 0.052763819095477
* i; x7 L% X0 W- X9 _ 0.053366834170854
. v1 c' C, A- O0 z7 H) w0 U 0.053969849246231; F0 e$ g' H2 z) C
0.054572864321608& H/ [$ h5 h2 j# M x5 ?
0.0551758793969858 ?. b @+ y0 E- |) e
0.055778894472362
: B- m' x! K! }5 ~ 0.056381909547739
+ P) k) g! r( w4 _' W 0.056984924623116: Y' j% j1 M D, n
0.057587939698492
; \( a# p3 o9 R( h2 L/ k- v- w 0.058190954773869' t! \5 s! _) V8 y* j" x1 l
0.058793969849246$ N& g" \4 Q! _: h* d% r3 h# D
0.059396984924623+ T, s$ w* f; ~* N7 m" r( r7 q
0.0600000000000002 X& j. } {, A3 r- ?
8 Q. ?4 N+ u: y. S
2 D- V+ ?) @/ }8 I, ~) U
ans =
! p- Q! k, Y5 S3 ]$ Z: G- M3 D* \+ U
-1.033689540653716. x0 S/ a0 Q' x- \7 }$ T
-1.013619827890691
3 x& B" ^- }% N4 E' X -0.994621366531083
^. g* K, t" W2 ~ -0.976510534039504
8 T$ ], ]# n b -0.959151639002957
* S1 u; S5 \' _ -0.942440908631668
: c4 f/ K; N8 T2 I -0.926296779035772: d/ M& s( |# m* e" x. Q7 L, _, k
-0.910653694311287! e( p. [+ c" f. x6 B
-0.895457976752101
$ J4 _ W+ A) Z# A+ c' J -0.880664979264975, c* Q5 e# L ~, {; V7 R0 n' N
-0.866237063671064# E* P) V+ r9 x" t/ ^- \: w3 @
-0.852142129100671
2 q! H9 F& k* C3 q: e* y -0.838352517460560
3 b& h0 E0 U( z$ w, p1 r -0.824844183890339
( E4 ^5 Q5 ~4 Q/ X: u0 p( B -0.811596057546419* L& G6 K# G" k# N( W8 j
-0.798589541746273! G& y1 L% [8 C3 Q1 ]( W
-0.7858081179181936 d& Z, G s$ ~9 l9 g2 V- r6 G
-0.773237028068739
' ^4 _! N& V9 l/ | -0.760863017467603 d" z. l p* \* h& L" a6 f" A
-0.7486741240971213 [; H2 Z: }* ^- L- n5 J
-0.7366595048354535 [ l4 j( j. ^$ |1 Z$ M
-0.724809290796292
2 X2 ]. t& ^6 Q. o) }, D6 Z -0.7131144660332843 F# n5 K8 d+ k0 O9 e
-0.701566765133452$ O* Y9 w" f/ J( b5 ?7 |) T$ ]
-0.690158586205827
" w9 m. A$ i9 n -0.6788829165128488 l2 c( [7 x" y0 r6 Z" `
-0.667733268556930
# }2 r; H" q! E7 |5 s2 [/ S. r0 H -0.656703624869929
$ O& v5 m- \9 V: N- y -0.645788390090937
9 \9 O( a4 w, x7 s/ l0 N -0.634982349182892& K0 [6 D0 R) x$ w: v* l$ `! m
-0.624280630847343, e0 s7 e6 W/ ?' \+ t
-0.613678675363112
5 r" o {* q T! l -0.603172206207723
/ Q, V- q- a! z8 G2 m( _ -0.5927572049278871 a6 x. X) u# a, ]
-0.582429888812360" b& e+ r' d9 R* ?3 y" r
-0.572186690991612* N6 @, r; b! [5 v8 v/ s
-0.5620242426469650 b# g# o. T5 E3 N. g% g" B% g: i
-0.551939357060015. r d- ]1 h. H& x( ]8 u
-0.541929015272840
9 B0 b6 z. |0 p -0.531990353162879
' @' H1 W/ a4 q5 F -0.522120649763841: c+ i' n: @( ~( W
-0.512317316687512. H2 H5 }( `, x
-0.502577888520921
5 k( f6 |8 T; {3 ^3 @/ K -0.492900014089836/ Z' R) d! F+ U5 y1 S7 l y
-0.483281448493885
8 K6 J, b5 L8 l7 w& j -0.473720045830499
9 {4 L- c1 W. o l+ t U -0.464213752535263
3 c* q. t8 _0 d8 Y -0.454760601275071" k6 d7 A9 P0 t! Z/ Z
-0.445358705338140, _8 ?' p; i g: u
-0.436006253471471
1 m G3 l$ R* A) Z0 m7 r -0.426701505122098
) O# Y2 A, y- @" n& u -0.417442786043397& V3 l& R' @# M. W9 ?! _
-0.408228484231992
0 s3 X9 O3 I$ B3 ^ -0.399057046164675
5 ?% v- F6 b9 N G5 T( D -0.389926973307911
6 J* ]: B2 ~3 X, b# ~: L -0.380836818875499. {2 h8 ~0 ?2 O3 D( G# ^
-0.3717851848124545 l7 B, i; I3 b( [
-0.362770718985392
+ g: }- C1 u$ F# J3 c& G -0.353792112561766# G& E2 _. U2 a
-0.344848097561934" ~! @0 L5 T% @' R9 M9 J
-0.335937444569670
: U! @+ |8 x7 [3 ~6 B" q -0.3270589605881065 e- t; ^/ a8 C/ `" b
-0.318211487029265
- u7 c6 ~ K4 i1 g! S$ o7 U -0.309393897826506
5 p% c4 p9 x# s" F$ U: t* L E. m -0.300605097660121
3 Q; w* b0 F7 G% M -0.291844020287246
) Y5 u% T' o+ ?/ a; n G -0.283109626967980& d! [$ I! b$ q9 i# k/ ^& W' x9 [
-0.274400904980369" s; _( B( |" p! n t* i
-0.265716866217476+ M4 ^1 c! F( U3 I( t5 j. S& @1 {
-0.2570565458603813 ^5 S! P+ ?* e7 ]! v7 v X4 s' z4 N# \
-0.248419001121443
( F" M" J8 }. g8 D5 V8 R3 Q -0.239803310052597
* {/ ~8 n. r& T2 H5 v -0.231208570413935
5 x! V! N( H( j- p) j7 y -0.222633898598121
( J" f$ Z6 T" O. _8 q' t5 o9 d0 j -0.214078428606594+ m4 k' e7 d4 c3 M0 z
-0.205541311073791
% W7 x; B/ w& h9 A -0.197021712335900
' A5 i6 c$ H' H- l8 o# S @ -0.188518813540922
' y3 U- u$ P9 M* V' w) _) g -0.180031809797061: H% O1 p5 `) }- c% D
-0.171559909356608( u) ?2 t" j8 \0 [
-0.163102332832782; y9 m- A3 O6 x0 ?( f* `2 _
-0.154658312447061
3 n p0 a- s. }* b3 w7 ] -0.1462270913047547 C, J9 w7 {1 @2 y4 [
-0.137807922696691) i+ B0 C3 W4 Z+ P. d
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樓主: shouce
