trabajo en clase newton

7/17/2019 Trabajo en Clase Newton

http://slidepdf.com/reader/full/trabajo-en-clase-newton 1/14

Ejercicio 1

I)

>> p0=-1,5,tol=10^(-6), N=50;

p0 =

-1

ans =

5

tol =

1.0000e-06

>> [p1]=newton('h','dh',p0,tol,N)

1 -1.000000000p1 =

-1

II)

>> p0=0,tol=10^(-6), N=50;

p0 =

0

tol =

1.0000e-06


1 -2.000000000

2 -1.200000000

3 -1.0116!06

! -1.0000!5

5 -1.000000001

6 -1.000000000

p1 =

-1

III)

>> p0=10,tol=10^(-6), N=50;

p0 =

10



tol =

1.0000e-06


1 5.36"!21053

2 3.1652#160

3 2.25!3"!55

! 2.01"!#0!1!

5 2.0001125

6 2.00000000!

2.000000000

p1 = 2

IV)

>> p0=-100,tol=10^(-6), N=50;

p0 =

-100

tol =

1.0000e-06


1 -!#.611#!030

2 -2!.652#"00""

3 -12.121216355

! -5."##!3"02

5 -2."56601""

6 -1.5210#"236

-1.0611"3

" -1.001!3#"

# -1.0000006#0

10 -1.000000000

p1 =

-1.0000

$%e&o 3



*n+n e&os

>> =-50.015;

>> =.^3;

>> 2=/!;

>> plot(,,'&',,2,'')

>> &d on

1.78 1.79 1.8 1.81 1.82 1.83 1.84 1.85 1.86 1.87 1.88

-2

0

2

4

6

8

I)

>> p0=1,tol=10^(-"), N=50;

p0 =

1

tol =

1.0000e-0"


1 3.000000000

2 2.2306#231

3 1.""111"""1

! 1."00!"!"6



5 1.#63325#1

6 1.#6321#03

1.#6321#03

p1 =

1.#63

II)

>> p0=2,tol=10^(-"), N=50;

p0 =

2

tol =

1.0000e-0">> [p1]=newton('h','dh',p0,tol,N)

1 1."1"1"1"1"

2 1.#6613026

3 1.#6321#56

! 1.#6321#03

5 1.#6321#03

p1 =

1.#63

III)

>> p0=0.5,tol=10^(-"), N=50;

p0 =

0.5000

tol =

1.0000e-0"


1 -1.000000000

2 -11.3!1"013"6

3 -.50!52#!

! -5.0530#35#1

5 -3.3603#056

6 -2.1"62661



-1.2632532

" -0.01"5"60

# -!.00!1330#"

10 -2.6!111551

11 -1.6!"!11#6#

12 -0.6#330016"

13 .5!1#55#16

1! 5.0"11"#"!

15 3.!"!0"305"

16 2.5012!6!

1 1.#"6!535# 1" 1."15565"3"

1# 1.#65!"023

20 1.#6321#35

21 1.#6321#03

22 1.#6321#03

p1 =

1.#63

IV)

>> p0=0.1,tol=10^(-"), N=100;

p0 =

0.1000

tol =

1.0000e-0"


1 -!.12531#6

2 -2.2555"23

3 -1.1!!"531

! -0.56"0!2

5 3.5#65"323

6 2.6635##1!

2.060!62#61



" 1."31!#"36!

# 1.#0625"

10 1.#63222!"

11 1.#6321#03

12 1.#6321#03

p1 =

1.#63

$%e&o 5

>> =-50.015;

>> =.ep(-);

>> plot(,,'&')>> &d on

-5 -4 -3 -2 -1 0 1 2 3 4 5-800

-700

-600

-500

-400

-300

-200

-100

0

100

I)

>> p0=0.2,tol=10^(-5), N=100;

p0 =

0.2000

tol =



1.0000e-05


1 -0.050000000

2 -0.0023"0#52

3 -0.000005655

! -0.000000000

p1 =

-3.1#"!e-11

II)

>> p0=2,tol=10^(-5), N=100;

p0 = 2

tol =

1.0000e-05


1 !.000000000

2 5.333333333

3 6.56!10256!

! .!3"26066

5 "."#210#"!3

6 10.01""1"63

11.12#6##3#

" 12.22"!1566

# 13.31!311

10 1!.3#"66266

11 15.!32#0#

12 16.5!23"#"3

13 1.60630006

1! 1".666#!655

15 1#.235!#!3!

16 20.6#5"111

1 21."252200!



1" 22."55353#

1# 23.#212!"56!

20 2!.#6!"6205

21 26.006603#!0

22 2.0!65#336

23 2".0"!#"6113

2! 2#.121#06#36

25 30.15!66!03

26 31.1#162#35

2 32.22!""!552

2" 33.256#102#1 2# 3!.2"#11!00

30 35.31#52336

31 36.3!0#1603

32 3.353"2!!

33 3".!02"35#!

3! 3#.!2#60#50"

35 !0.!55631110

36 !1.!"0#603!

3 !2.5056"##6

3" !3.52#20"5

3# !!.5532"5025

!0 !5.562!5!06

!1 !6.5#"6""#

!2 !.62060#33#

!3 !".6!205#0"0

!! !#.6630!"#3

!5 50.6"35#"!0#

!6 51.03256

! 52.23!!"1#3

!" 53.!2"1"!

!# 5!.61!12!



50 55."03!2312

51 56.#"5#035

52 5."1651"633

53 5"."3!11#1!"

5! 5#."51!0##"0

55 60."6"!01#26

56 61.""510522"

5 62.#0152#606

5" 63.#16"!2#6

5# 6!.#335"0#

60 65.#!#21#312 61 66.#6!615#56

62 6.##55#"

63 6".##!05!"

6! 0.00#!12505

65 1.023#032"2

66 2.03"1"!120

6 3.052261056

6" !.06613#"1

6# 5.0#"26101

0 6.0#3325053

1 .1066!1"16

2 ".11#"12!

3 #.132!"116

! "0.1!55!6"!6

5 "1.15"1"1#6

6 "2.106512#

"3.1"2#6"52

" "!.1#51!!"22

# "5.2016!5!

"0 "6.21#0!022"

"1 ".230!6#5



"2 "".2!231!"3

"3 "#.253"33"03

"! #0.26516!55

"5 #1.263633!

"6 #2.2"!!!!30

" #3.2#"3#""3#

"" #!.30#233263

"# #5.31##50316

#0 #6.33055252

#1 #.3!10!23!3

#2 #".351!22135 #3 ##.3616#!1##

#! 100.31"605"

#5 101.3"1#23#6#

#6 102.3#1""5#22

# 103.!01!"6!!

#" 10!.!1151!103

## 105.!211"!206

100 106.!3060"0

p1 =

106.!30"

III)

>> p0=20,tol=10^(-5), N=100;

p0 =

20

tol =

1.0000e-05


1 21.0526315#

2 22.1025003!5

3 23.1!#"""0#5

! 2!.1#5035050



5 25.23"1!2!

6 26.2#!05003

2.31"#62"#6

" 2".356#5"31!

# 2#.3#35120"5

10 30.!2"313#"

11 31.!6211#6

12 32.!#553""15

13 33.522"#3!3

1! 3!.55"0325#

15 35.5""31""! 16 36.616!3"6

1 3.6!!"20!6"

1" 3".6210#!5!

1# 3#.6#"65!2#1

20 !0.2!!#!#"3

21 !1.!#66"36"

22 !2.!20"!!5

23 !3.#"1!6660

2! !!."2151215"

25 !5."!!332001

26 !6."66631363

2 !."""!3305

2" !".#0#60#26

2# !#.#30633500

30 50.#51005#5

31 51.#10#01"5

32 52.##00#150

33 5!.00##!3356

3! 55.02""0!1

35 56.0!3163"6

36 5.065!"255



3 5".0"331""62

3" 5#.100"311!

3# 60.11"0!"50

!0 61.13!#63""

!1 62.1515#313#

!2 63.16#!5#!3

!3 6!.1"!031!03

!! 65.1##"5"1"6

!5 66.215!3!5!5

!6 6.2306"33"

! 6".2!5"6061 !" 6#.2603"63

!# 0.253"53

50 1.2"#"221!

51 2.30!0!#525

52 3.31"03#!

53 !.331#016

5! 5.3!553"!06

55 6.35"#"#112

56 .3225"#2#

5 ".3"53526"#

5" #.3#"25031

5# "0.!11030!13

60 "1.!23623122

61 "2.!36052"0

62 "3.!!"336"53

63 "!.!60!65660

6! "5.!2!!3"1

65 "6.!"!2"5561

66 ".!#5#"361

6 "".505!!"!"

6" "#.51"#2!3!



6# #0.53026#!!

0 #1.5!1!3""5!

1 #2.552!"3520

2 #3.563!0621

3 #!.5!20#622

! #5.5"!"#632

5 #6.5#5!6""!0

6 #.605#2#5"

#".6162"0#1"

" ##.626525111

# 100.63666!31 "0 101.6!600"3

"1 102.6566365"3

"2 103.666!361#

"3 10!.66213"#

"! 105.6"5"5#311

"5 106.6#5!116##

"6 10.0!"2"!"

" 10".1!2!!!#1

"" 10#.2352"31!

"# 110.3225#55

#0 111.!1"3#00

#1 112.50"6#01"

#2 113.5#"1!#!

#3 11!.6"6"5#02

#! 115.!5666

#5 116."61""1

#6 11.#!"2!"6

# 11"."033"6"0#

#" 11#."11"5530

## 120."202#21#

100 121."2"63"02"



p1 =

121."2"6

trabajo en clase newton

Documents