metodos numericos regla falsa aproximaciones sucesivas,etc

8/17/2019 Metodos Numericos Regla Falsa Aproximaciones Sucesivas,Etc

1/20

x

-1 -0.5403023059

-0.75 -0.9191888689

-0.5 -1.1275825619-0.25 -1.1564124217

0 -1

0.25 -0.6564124217

0.5 -0.1275825619

0.75 0.5808111311

1 1.4596976941

X^2-COS(X)+X

-1.


2/20

5 -1 -0.5 0 0.5 1 1.5

-1.5

-1

-0.5

0

0.5

1

1.5

2

X^2-COS(X)+X


3/20


4/20

x x^2 cosx-x

-1 1 1.5403

-0.75 0.5625 1.4817

-0.5 0.25 1.3776-0.25 0.0625 1.2189

0 0 1.0000

0.25 0.0625 0.7189

0.5 0.25 0.3776

0.75 0.5625 -0.0183

1 1 -0.4597

x f1(x) f2(x)

-0.5 -0.5 1.1737

-0.25 -0.25 1.1040

0 0 1.0000

0.25 0.25 0.8479

0.5 0.5 0.6145

0.6 0.6 0.4747

0.7 0.7 0.2546

x f1(x) f2(X)

-1 0 0.5403

-0.75 -0.1875 0.7317

-0.5 -0.25 0.8776

-0.25 -0.1875 0.9689

0 0 1.0000 x f1(x)

-1.5 -1 -0.5

-

1

-0.6


5/20

0.25 0.3125 0.9689 -0.5 0.25

0.5 0.75 0.8776 -0.25 0.0625

0.75 1.3125 0.7317 0 0

1 2 0.5403 0.25 0.0625

0.5 0.25

0.6 0.36

0.61 0.3721

x f1(x) f2(x)-1 0 -0.5403

-0.75 0.25 -0.9756

-0.5 0.5 -1.7552

-0.25 0.75 -3.8756

0.25 1.25 3.8756

0.5 1.5 1.7552

0.75 1.75 0.9756

1 2 0.5403-1.5


6/20

f2(X)

0 0.5 1 1.5

-1

.5

0

.5

1

.5

2x^2

cosx-x

-0.4 -0.2 0 0.2 0.4 0.6 0.8

-0.6

-0.4

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

1.4

f1(x)

f2(x)

1.5

2

f1(x)

f2(X)


7/20

1.8235

1.7594

1.5708

1.2530

0.7227

0.2838

0.1895 -0.6 -0.4 -0.2 0 0.2 0.4

-0.5

0

0.5

1

-1 -0.5 0 0.5 1 1.5

-5

-4

-3-2

-1

0

1

2

3

4

5f1(x)

f2(x)


8/20


9/20

0.6 0.8


10/20

valor para x x f(x) s!"o

x1 0.5 -0.12758256 +

x2 0.75 0.58081113 -

f(x1)#f(2) -0.07410137$xs%$ ra&

C1 0.625 0.20466188 +x1 0.5 -0.12758256 -

f(x1)#f(C1) -0.02611129$xs%$ ra&

C2 0.5625 0.03298175 +

x1 0.5 -0.12758256 -

f(x1)#f(C2) -0.0042079$xs%$ ra&

C3 0.53125 -0.04869792 -

C2 0.5625 0.03298175 +

f(C3)#f(C2) -0.00160614$xs%$ ra&

C4 0.546875 -0.00820649 -

C2 0.5625 0.03298175 +f(C3)#f(C2) -0.00027066$xs%$ ra&

C5 0.5546875 0.01230065 +

C4 0.546875 -0.00820649 -

f(C3)#f(C2) -0.00010095$xs%$ ra&

C6 0.55078125 0.00202532+

C4 0.546875 -0.00820649 -

f(C3)#f(C2) -1.662'-005$xs%$ ra&

C7 0.54882813 -0.00309602-

C6 0.55078125 0.00202532+

f(C3)#f(C2) -6.270'-006$xs%$ ra&

C8 0.54980469 -0.00053671-

C6 0.55078125 0.00202532+

f(C3)#f(C2) -1.087'-006$xs%$ ra&

C9 0.55029297 0.00074397+

C8 0.54980469 -0.00053671-

f(C3)#f(C2) -3.993'-007$xs%$ ra&

C10 0.55004883 0.00010354+

C8 0.54980469 -0.00053671-

f(C3)#f(C2) -5.557'-008$xs%$ ra&

C11 0.54992676 -0.00021661 -

C8 0.55004883 0.00010354+

f(C3)#f(C2) -2.243'-008$xs%$ ra&

C12 0.54998779 -5.654'-005 -


11/20

valor para x C" f(x) s!"o valor para x

a1 0.5 -0.12758256 - a1

1 0.75 0.58081113 + 1

C1 0.5450253 -0.01303629 - C1

a2 0.5450253 -0.01303629 - a2

2 0.75 0.58081113 + 2C2 0.54952496 -0.00127008 - C2

a3 0.54952496 -0.00127008 - a3

3 0.75 0.58081113 + 3

C3 0.54996239 -0.00012316 - C3

a4 0.54996239 -0.00012316 - a4

4 0.75 0.58081113 + 4

C4 0.5500048 -1.194'-005 - C4

a5 0.5500048 -1.194'-005 - a5

5 0.75 0.58081113 + 5

C5 0.55000891 -1.157'-006 - C5a6 0.55000891 -1.157'-006 - a6

6 0.75 0.58081113 + 6

C6 0.55000931 -1.121'-007 - C6

a7 0.55000931 -1.121'-007 - a7

7 0.75 0.58081113 + 7

C7 0.5500093 -1.09E-008 - C7


12/20

C" f(x) s!"o x f(x)

-1.5 0.6792628 - -2.5 4.55114362

-1.25 -0.00282236 + -2 2.41614684

-1.25103446 -0.00028774- -1.5 0.6792628

-1.25103446 -0.00028774- -1 -0.5403023

-1.5 0.6792628 + -0.5 -1.12758256-1.25113988 -2.931'-005 - 0 -1

-1.25113988 -2.931'-005 - 0.5 -0.1275826

-1.5 0.6792628 + 1 1.4596977

-1.25115062 -2.984'-006 - 1.5 3.6792628

-1.25115062 -2.984'-006 - 2 6.41614684

-1.5 0.6792628 +

-1.25115171 -3.039'-007 -

-1.25115171 -3.039'-007 -

-1.5 0.6792628 +

-1.25115182 -3.095'-008 --1.25115182 -3.095'-008 -

-1.5 0.6792628 +

-1.25115183 -3.152'-009 -

-1.25115183 -3.152'-009 -

-1.5 0.6792628 +

-1.2511518 -3.21E-010 -


13/20

-3 -2 -1 0

-2

-1

0

1

2

3

4

5

6

7

f(x)


14/20

1 2 3


15/20

1) local&aos la ra&

2) *allaos la ra&

x f(x) f(x) f(x)

a -1.5 0.6792628 -2.99749499 1.9292628

-1 -0.54030231 -1.84147098 1.45969769f(a)#f() -0.3670073 $xs%$ ra&

co"v$r!$"ca 0.145852 ,1

x f(x) f(x) X"

a -1.5 0.6792628 -2.99749499 -1.27338985

C1 -1.27338985 0.05509032 -2.50287941 -1.25137907

C2 -1.25137907 0.00055716 -2.4521767 -1.25115186

C3 -1.2511519 5.973E-008 -2.4516509 -1.2511518

x f(x) f(x) f(x)

a 0.5 -0.12758256 2.47942554 1.12241744

1 1.45969769 3.84147098 1.45969769

f(a)#f() -0.186232 $xs%$ ra&

co"v$r!$"ca 0.023294 ,1

x f(x) f(x) X"

a 0.5 -0.12758256 2.47942554 0.5514565

C1 0.5514565 0.00379845 2.62684138 0.55001049

C2 0.55001049 2.9817'-006 2.62271714 0.55000935

C3 0.5500093 1.844E-012 2.6227139 0.5500093


16/20


17/20

X" (x) X-X-1 (X)(X-X-1) (X)-(X-1)

a -1.5 0.6792628 - - -

-1 -0.54030231 0.5 -0.27015115 -1.2195651

C1 -1.22151433 -0.07164031 -0.22151433 0.01586935 0.468662

C2 -1.25537532 0.01037513 -0.03386098 -0.00035131 0.08201543

C3 -1.25109183 -0.00014711 0.00428349 -6.301'-007 -0.01052224

C4 -1.25115172 -2.925'-007 -5.989'-005 1.7518'-011 0.00014682

C5 -1.2511518 8.284E-012 -1.19E-007 -9.88E-019 2.925E-007

(X)-(X-1) X

- -

1.58728026 0.54018905

-1.48531591 0.54811971

0.02066732 0.55001951

0.00497755 0.55000934

-2.668'-005 0.55000935

2.742E-008 0.5500093


18/20

X

-

-1.22151433

-1.25537532

-1.25109183

-1.25115172

-1.25115184

-1.2511518


19/20

/ f(x) !(x)

-1.0 2.7 1.7

-0.5 1.6 1.9

0.0 1.0 2.0

0.5 0.6 1.91.0 0.4 1.7

1.5 0.2 1.3

2.0 0.1 0.0

x /

1 -1 1.732050812 -0.54930614 1.92308678

3 -0.65393159 1.89007235

4 -0.63661511 1.895975

5 -0.63973322 1.89492517

6 -0.63917935 1.89511207

7 -0.63927798 1.8950788

-1.5


20/20

-1.0 -0.5 0.0 0.5 1.0 1.5 2.0 2.50.0

0.5

1.0

1.5

2.0

2.5

3.0

f(x) !(x)

metodos numericos regla falsa aproximaciones sucesivas,etc

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