function solve_nonl_single1
0 v$ S" k; }3 k/ ~% g/ Q) i. uclear all;clc
# h( q# {) \( [format long3 c& B* V' @$ l& L
global a; Q- [# {- B' B8 a; T
a_span=linspace(-0.06,0.06,200);% w: p9 U- L% [
n=length(a_span);
# ?: G* n) W# M/ t* N. Sx0=1e-9;
5 M% L1 A1 s, N! boptions=optimset('Algorithm','trust-region-dogleg','TolFun',1e-12,'TolX',1e-12);% A# R- O# g1 m8 z
for i=1:n
. F H/ M+ p3 {* @, @: r a=a_span(i);
/ H: O( U0 x2 M) J4 p r9 Z9 x3 W x(i)=fsolve(@nonl,x0,options);
8 }% k1 F% A! e( r. Z1 W; b: Q' X- c' { y(i)=nonl(x(i));
6 ] V7 D4 Q2 S+ |) b Fend
4 g# F% q$ H+ C4 [" S/ Ya_span', x',y'
+ D% ~" f% o- ^# c* Ffunction f=nonl(x)6 Y' e% M) k2 c5 D8 i
global a
% \/ \, e; @9 |f=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));
. \. P: z N5 ?' R$ d( v! h& f$ A
运行结果 ans =
. o2 |. X' L6 k5 A, i" c7 m+ [ -0.060000000000000
. q. t: l! R+ Q- e9 ~# Y& W. A -0.059396984924623
+ n- m# Q6 ^' T3 g -0.058793969849246
+ ?$ } ]# I. V9 H% _- ` -0.0581909547738699 R; |/ ^8 n1 N7 J5 I/ J
-0.057587939698492
- L6 T) l9 X$ Y: v1 M7 f, @; i, s -0.0569849246231160 P# _9 j }9 }6 h8 F( e2 L; d" y
-0.056381909547739
4 `6 f( t" ?+ y7 S( m" N -0.055778894472362! W1 C; ] [- c c, `
-0.055175879396985
: E. n) Z% @3 p/ c/ g3 `( m -0.054572864321608
( T$ n6 ]# g. W -0.053969849246231
# R6 E. y) z8 _- C -0.053366834170854
% W6 _, @5 D+ F, Z: W -0.052763819095477
! r/ t+ a5 j3 S- o -0.052160804020100+ b. M" o( z9 m/ v" A' P! x$ _
-0.051557788944724
3 K9 S" V F4 f7 V# A, E7 F' [: m7 C -0.050954773869347+ q* Z1 v. @( ^/ y- f1 n5 w
-0.050351758793970
8 A8 [; G( W5 {( h* D9 T7 C5 H/ N -0.049748743718593
7 a N1 v+ K* o3 Y -0.049145728643216
G' `' F3 a) i8 \# e# R -0.0485427135678395 \9 U1 S0 ^) a1 K- f- i+ l+ _+ f
-0.047939698492462' C/ d, {, G0 f
-0.047336683417085
9 Q# m7 Q# W! Q5 O -0.046733668341709
7 g- W- z2 n3 r0 J -0.0461306532663324 g; J5 [/ }) J4 z# j& B
-0.0455276381909557 i! l: u; }% x7 M
-0.044924623115578, L# }' p, @8 W' b: D6 u2 L, ^" M
-0.0443216080402019 w4 V# e" S+ w, m# Z
-0.043718592964824 H" }" I+ U5 r1 p% M
-0.043115577889447
* e! D8 b6 Y* S- E1 { -0.0425125628140707 P S$ Z! q- T o0 G' {
-0.041909547738693! U7 B6 S ` q
-0.0413065326633170 x- i& U6 l+ Z, Y+ U. n! \
-0.040703517587940
# T. U7 t" N" I( g$ I! Z% v -0.0401005025125630 r& r* o: i( s/ |, j" Q+ B
-0.039497487437186
7 K0 _4 L6 g6 e! U; i/ |0 o -0.038894472361809
- ], X3 h( v9 W$ N7 I1 ^. ? -0.038291457286432
5 K# w* Y J. D0 n -0.037688442211055
' |( k' j% |' T. I+ @1 ^ -0.037085427135678; A: y" w+ i- ]
-0.036482412060302
, a5 t# v/ O3 C. N7 s -0.035879396984925/ i& L+ Z/ f0 V1 v, R; `
-0.035276381909548
' B5 u- P' H3 L0 k5 W -0.034673366834171: D) j3 C# ^1 z6 E
-0.034070351758794
: f/ Q( A$ I0 | -0.033467336683417
1 c6 o- h( X! \% E9 e -0.032864321608040; V$ h- q$ o0 Y. S- C% h
-0.032261306532663) r1 g1 y b. U* }
-0.031658291457286
9 y1 A4 k' h: r -0.031055276381910- `5 i' ~/ M$ m4 H5 s' [7 o, S8 d
-0.030452261306533
: x9 `! Y; J! j -0.029849246231156
+ y1 c2 u: Y n! F9 v% G3 m -0.029246231155779
0 S! n; Y) c8 m8 Q+ x8 ?; p5 P -0.028643216080402
+ ?4 C3 ]2 J1 p5 C3 V7 A4 u -0.028040201005025; ]. K8 R, y3 A) A% Q
-0.0274371859296481 D3 o/ V0 s+ J& t9 Y7 n+ c
-0.026834170854271. P1 [8 h2 N+ e7 f3 R* t
-0.026231155778894
5 S5 x; V! N! [: I -0.025628140703518
# C4 ?8 L% D' p: o$ C9 }% Q -0.025025125628141! r* I) D# S/ P5 z
-0.024422110552764
1 q- A8 B, }5 V6 J) B/ T# F0 \ -0.0238190954773873 R5 \! q4 L b3 }
-0.0232160804020106 ~ d7 B) P s) D
-0.022613065326633
4 b) |3 x: q& O8 w -0.022010050251256 B# L; }' o) P
-0.021407035175879
) b: r7 |9 a* F. A3 l; B -0.020804020100503
. r+ I! \& F) x0 S% r3 U; S! A -0.020201005025126. D: L8 K. {* F( I# ^8 ]$ `$ J# ?# g
-0.019597989949749
3 v5 j4 C) `1 |; K( J t -0.018994974874372+ M I0 k5 P+ p r
-0.0183919597989953 T" G- E3 W2 k- k/ q! C/ N2 T
-0.017788944723618 H: R; t3 g2 A' w, z% [
-0.017185929648241
2 Q/ g' [9 ~ F7 B6 \ -0.016582914572864
. x0 u/ I6 E& O) d! _ -0.015979899497487
4 ]; c# `" Z8 m" ~( v -0.0153768844221114 w3 {+ e1 k$ x8 a/ K# l! s& d
-0.014773869346734 ?0 F' Z v9 |! Q7 s- q) m! C
-0.014170854271357
1 S# t+ k: K4 Y2 ~5 d -0.013567839195980
; Y7 R5 j4 z: K -0.012964824120603
* f* `% {: b8 i+ d) C, a6 D -0.012361809045226
: n- b) K! ]6 d2 R u: U. T -0.011758793969849
* H) J% O5 D, E -0.0111557788944729 J! }# F; b; h. }. L7 r
-0.010552763819095( S1 f6 K5 @2 D9 ?! H
-0.009949748743719! |" P" a9 T& G2 n9 ^1 V' M
-0.009346733668342
; D6 L" z) |! D -0.008743718592965" \+ C5 O. [6 Z/ Y# s
-0.008140703517588
' n& {2 R X" X* T, l s& O( g -0.007537688442211; O+ v0 S; [8 W9 ^( s
-0.006934673366834
2 @6 i( T6 Y( J -0.006331658291457- a/ L( l1 W5 D# N
-0.005728643216080
* H# N1 b4 w( G. l; J8 H' m -0.005125628140704# s/ B3 o0 K) q7 J# p9 x
-0.004522613065327( O1 f0 r% p: g$ ^7 q/ p
-0.0039195979899507 ^; @3 |% h0 O* t. N
-0.003316582914573' \7 I1 X: m( l% v* v
-0.002713567839196
" L t9 o8 Q1 ^9 M, K1 W4 t -0.0021105527638195 T5 n5 S! F. h% e' H2 n
-0.001507537688442
! G3 ~5 J) Q+ u; B -0.000904522613065
& D. M- `; G, I4 }% d -0.000301507537688, _& M( O E8 w+ S1 a# Q3 w
0.000301507537688
* e2 j5 j5 ~) S! ]; H! B9 y; z. p 0.000904522613065" V4 w9 c+ b( c! L( W9 w
0.001507537688442$ D7 z2 `3 T+ X; n
0.002110552763819# h, l9 ?' i7 V7 L- W1 h* h
0.002713567839196
, R2 a$ S: y+ d: K( } 0.003316582914573, n* S4 B: w! i/ z4 R7 j* j C
0.003919597989950
$ C: I' @% b4 l; O) N3 U" [" M/ n 0.004522613065327' D$ }" s) \- M) R8 Z( E8 H/ E( A
0.005125628140704
" E1 x+ g+ D7 W7 L4 C* @ 0.005728643216080. z+ I+ Z9 Y$ |7 {+ d; J" S
0.006331658291457
# N; o/ |7 v1 Y: { ]5 s 0.0069346733668342 t8 x+ ^ i- B
0.007537688442211
& D7 ]8 n: ]( b 0.008140703517588
8 B" v4 w' u2 c% y5 i 0.008743718592965
w) I) k4 ? u% G# h/ Z' y 0.0093467336683426 V9 E1 o8 g x! C( J, j
0.009949748743719
$ m7 N. W& i# X7 B 0.010552763819095& g+ J" D3 s8 S/ W, ?
0.011155778894472% c7 I& X. n) M" ^; r l. p
0.011758793969849
8 e2 ^3 i: R! @9 d) [ 0.012361809045226
$ _; |; @/ V; m% `" X4 N( r4 @ 0.012964824120603
# O, D6 B5 b/ s6 c$ Y) v 0.013567839195980! J- f! R1 G( c# H' X. f
0.0141708542713578 B) e& z6 |8 C* T- w4 E8 r- m( `
0.014773869346734
8 i3 ]7 c% K* f) N9 r 0.015376884422111) I- h6 I' ~( B; B, V+ ]0 f
0.0159798994974870 B F3 T. j9 `: G
0.016582914572864
' [: ]9 P+ E# D, N9 _( R 0.017185929648241# E1 o1 \1 ?# l$ \
0.017788944723618
: M' y3 Y" g$ z 0.0183919597989953 _' Q# J: J4 x$ u; X- W# q+ n ~
0.018994974874372
! H& L }' X9 ^# F 0.019597989949749
+ }" O. P) `) C# }% _7 k 0.020201005025126/ ~' _* I3 U! Z& j- t( {
0.020804020100503$ G9 K7 C) e/ Q$ E% @
0.021407035175879
# c& V, n0 w, k2 d8 f3 U. ` 0.022010050251256! V2 o: X4 F/ u) M. e0 U1 t6 _( C
0.022613065326633' x: a2 n: P/ j# k. w: M
0.023216080402010
/ B B; {& u9 _1 N$ w( L4 X7 K 0.0238190954773875 B: X7 ]( A# e( M
0.024422110552764. B9 h8 R- Q, I0 k5 g% I J- F
0.0250251256281415 g" G3 O+ }8 d6 a( P- q. |
0.025628140703518# \0 O4 l" W: i' E) N. h3 r1 f
0.0262311557788944 m( N5 C6 N, I' E$ u
0.026834170854271' i1 j0 |6 J7 T
0.027437185929648$ q: P* z' L% z! s0 ^' Z/ \+ \
0.028040201005025
1 X. _, a! P9 _2 o8 Z* m2 t 0.028643216080402$ F. \5 O1 D, b! v# h, X
0.029246231155779
, r. I3 T9 E2 r% B* _ 0.029849246231156
J, c3 }' g& y! d r* Q 0.030452261306533
4 ?$ ^6 I4 z: D! O0 @' | 0.031055276381910
| \& N/ _9 ~: f 0.031658291457286
) f/ x( }' f9 M* L5 w3 k; h 0.032261306532663
+ R' Q+ d y! U) E$ N* q; Q 0.0328643216080409 e% l5 x4 d' a8 }& f7 t
0.033467336683417/ A7 d% M E+ a
0.0340703517587943 s2 B' |3 ~; @! Y1 u* N8 X
0.034673366834171" m6 T) c4 H. n& c9 t
0.035276381909548
# J$ A7 F: ^4 P; u 0.035879396984925
N3 p2 M& W0 t7 r6 k 0.036482412060302) h( G- A0 x3 |1 z
0.037085427135678; M% u# q$ |5 r0 t
0.0376884422110559 e; a6 i6 _8 I3 R, i& b
0.038291457286432& ~- h3 B( B* ?2 D S3 X
0.038894472361809) D; \2 T+ E. H. Y( N! R
0.039497487437186
3 u6 n, ], L, b1 Y; _1 F0 e 0.040100502512563
1 [ u" ` r; U; M4 U3 Y U5 c 0.040703517587940' R5 T7 ]8 U3 z! o& \
0.041306532663317 I% x) Z1 D6 {2 [. T# P
0.041909547738693- W- z! @* }: y/ U4 Q0 `, p% o2 r& I0 S
0.042512562814070
2 {* |6 Z7 i$ R) H2 Q, Q# Z' z 0.0431155778894471 i2 F. `* }3 W
0.043718592964824" s7 i# `4 n6 _* R7 y2 n m5 Y
0.044321608040201
/ M" n) U& R$ s+ k$ W# ~# f4 T4 Y0 f% y 0.0449246231155789 `3 Z' {5 [$ j* |
0.045527638190955& i9 g0 h% U' M( I/ R, C
0.0461306532663322 d/ U+ S+ w6 R f7 `8 p
0.046733668341709- s" m% h% b% B( f+ @( Z. G6 ]) i& A
0.047336683417085
0 \) ^" A4 W7 g8 m4 y 0.047939698492462
; y1 K9 W- c2 g, G( z. A 0.0485427135678395 M* f0 U! w8 `: j
0.049145728643216
3 y. s' A! H" {( ^9 W 0.049748743718593* ]& a1 l2 A7 Y; l
0.050351758793970
# B0 X* p2 }! |, V& u, ^ 0.050954773869347* f; p$ Z0 h9 T h: p1 |: b! J
0.0515577889447245 N- Q5 J2 J. y% g7 k
0.052160804020101, B2 k# P& }5 ]$ @1 F
0.052763819095477
! f7 {; p- M, f/ g7 X$ Q7 [6 o- o! f- g 0.053366834170854
/ x, ^# B" f/ t# E 0.0539698492462310 j4 e/ S! Z) H1 H2 y+ [
0.054572864321608! }5 n% y8 y+ H$ l) H
0.055175879396985& w* C5 V, _' u `
0.055778894472362
/ `/ H4 L+ t8 H5 F6 |0 j 0.056381909547739& K) x8 h( ]* i8 a- T }$ E; T
0.0569849246231160 f5 P/ J W% v6 L0 X5 l1 S {
0.057587939698492
! h' k- k& L+ x% \4 a 0.058190954773869
0 x. B1 H1 z0 }/ U2 P" i( e) D 0.058793969849246
: h! h, Z' t9 X 0.059396984924623
6 |3 k7 B+ I6 T7 m" c1 @ 0.060000000000000
5 Z' G; V' ]2 Z6 f$ z- Y6 f8 L7 o: v- }7 K! O8 T
: d" q* d# O4 h2 @ans =$ z, V/ Y6 k# h p# x! d
; y5 s3 J4 ^% b# y. r
-1.0336895406537166 J- i5 x) b. w1 O% m8 i7 O
-1.0136198278906915 V. x. p" h/ H) H1 `9 `, \
-0.9946213665310830 M! Y& Y6 p0 a) b* n- a
-0.976510534039504
- T+ ?6 E. M! g) t! E: K -0.959151639002957
: P+ r' R- b! \) A" f; T) a) B -0.942440908631668
! R; T+ |& k6 J# J -0.926296779035772
. _. H5 f' n6 K0 i -0.9106536943112879 C: b" B# S& }- r1 e7 y
-0.895457976752101
! O7 U) Z( A9 s4 Y# {1 F -0.8806649792649756 }1 C9 _# U9 b/ } X3 {
-0.866237063671064' ?% `. b" w9 x
-0.8521421291006711 u$ X% r( n4 M
-0.838352517460560
9 L3 v# R1 w o0 l* B -0.824844183890339! {3 L) A. o( X2 V4 k( ?
-0.811596057546419
2 v4 ]! F" u$ b -0.798589541746273
$ i' J' ]4 a- ]0 B4 M -0.785808117918193
* h5 l! u8 z" X6 {& W4 ^ -0.773237028068739
6 ?- z$ U; z8 W" o1 X+ c; i8 ~, E -0.7608630174676034 c# y3 Z9 ~: R% k. X2 c8 @
-0.748674124097121" @& J! u" L8 C
-0.736659504835453/ f0 h9 i- ]3 p1 O
-0.724809290796292
/ @% B& q% g. u -0.713114466033284& j4 S- T7 J* I
-0.7015667651334523 ^ \) V; A; w: p
-0.690158586205827
( U- ?' G4 L) m8 x0 F( l -0.678882916512848: Q: `6 S% |( X2 T$ I8 m1 W
-0.6677332685569302 O% v0 i$ n4 |$ |. m
-0.656703624869929
8 Q* u& _, e! r: a -0.645788390090937
0 v4 X( r2 r: S0 v# T* } -0.634982349182892( C! D, b E. I8 z
-0.624280630847343
" F0 Z7 m, h6 H -0.613678675363112
' w% I5 }( ]# [ -0.603172206207723; F Z* k! t- J3 s
-0.5927572049278879 \+ c2 Y* o- ~
-0.582429888812360" F8 @& n! T/ U, u" m" J
-0.572186690991612" j7 X+ u/ b+ @# W" ~6 N
-0.5620242426469658 z0 Z7 b( H ]
-0.551939357060015
! v( K, M+ ~$ l R& r -0.5419290152728401 [$ R" \, K* }5 y5 `# n5 d2 O
-0.531990353162879
9 Q( M* H @) C' C/ x# q -0.522120649763841" U9 W* ~: a9 v, j5 Y+ [
-0.512317316687512
3 s8 Q& W" V) Y% J9 ]! ?) T" f -0.502577888520921, d( f8 r7 V0 n0 v& v9 }
-0.492900014089836& g# k" a* N% a2 e
-0.483281448493885+ t/ u( c# D4 D( {; ~% F5 r3 y/ S
-0.473720045830499$ U8 o8 q d$ ^3 I1 h; d! S
-0.4642137525352633 G& N% e6 Q, W/ j% b" v& s: F
-0.454760601275071
2 Z( r, U# e2 h6 T# G -0.445358705338140
/ B u0 p& I Y0 r/ A0 U -0.436006253471471
% x9 r! u8 a" z9 b1 B1 C -0.426701505122098! B B6 {! x0 H. C( H6 O# F d1 h( G
-0.417442786043397
& \8 z' B- F, K3 Y5 |. X% z -0.408228484231992
: y; w1 f7 m( K, ?+ h -0.399057046164675
8 ?' Y& F& a6 {" [8 ? -0.389926973307911
3 f8 n6 o0 C% D! b* a6 ` -0.380836818875499
# h4 V8 c h( v -0.371785184812454
1 U3 Y6 t. s9 m. m/ J -0.3627707189853922 V0 n$ o% m, C% K% K V
-0.353792112561766+ v* z$ U' N8 z. J+ S
-0.344848097561934
: ~' ?) N: @4 y7 r7 w; m -0.335937444569670' I* A9 l5 M7 m, E% D( K
-0.327058960588106
6 {" f! G# W7 N9 Y/ F -0.318211487029265( C4 B; {* ]/ y
-0.309393897826506
& e _1 B3 i: V( ~ -0.3006050976601215 D2 {/ o$ e3 {9 x6 N
-0.291844020287246
6 V" {3 x2 P$ p2 A -0.283109626967980
( k2 f# O% g6 w- ~ -0.274400904980369! d/ s2 c. g" |' B4 [" M, P
-0.265716866217476, \) K6 m# u, o- y
-0.257056545860381& X& \1 z$ u( X! V! w5 W
-0.248419001121443
7 a) {8 x3 L3 |. B9 X -0.239803310052597
! n2 C# F& @# [, _5 o9 Q) V% [ -0.231208570413935 ~" Q' Z5 O0 s: d7 {
-0.2226338985981218 B9 z7 e \' I; B0 Q8 y
-0.214078428606594
5 O# T0 |4 s$ ] -0.205541311073791
7 b$ I; z, Z3 ?$ o -0.197021712335900
+ ^1 f6 P5 k+ { -0.188518813540922
y" W7 R4 G8 t. w: |5 j4 H -0.180031809797061
6 K5 `& G; h% w- k -0.1715599093566089 K+ R$ @& E( A1 b' l; k$ }
-0.163102332832782+ E) a1 s% B/ [! C8 x7 ]4 v
-0.154658312447061) g% d# @2 ]0 J# a
-0.146227091304754
( R9 A1 T. ~$ B- N6 o6 c- x1 k -0.137807922696691& t4 D- `7 @4 B# z0 C9 ^
-0.1294000694250416 C5 j3 _* z+ K) G5 V P/ o
-0.121002803151371
, n4 G- B( v' @: ~/ y4 G% L -0.112615403765200: _1 r+ r1 A4 N1 S
-0.104237158771362
! M8 L& B: ^! @6 n. ?3 b -0.095867362694613
! F/ W; l2 E" p4 ?, d5 |* J' u -0.087505316499959
3 s9 b# f z& v `. \1 A; Q4 I1 D -0.0791503270273049 f) S$ N5 t" e( E; a
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楼主: shouce
楼主