Analisis Numerico Eje 2

 

IHICA[A[ HWEGPAKD

OWHMIKADH WHA_GP[A]IPAI MGC IPGI IHMAHI OIKWC]IM MG AHLGHAGPAI AHLGHAGPAI AHMW[]PAIC 0>0>

[A[]GEI[ MG GKWIKADHG[ CAHGICAG[ Q HD CAHGICG[ IK]A_AMIM G_ICWI]A_I GJG 0

9. Pgsdcvgr Pgsdcvgr gc saluaghtg saluaghtg sastgei sastgei mg gkuikadhg gkuikadhgss pdr gc eátdmd eátdmd lréoakd lréoakd y mgtgrea mgtgreahihtgs hihtgs.. Kdepirg sus rgspugstis:

 

Gkuikaûh Hd. 9:

Gkuikaûh Hd. 0:

Pgsdcvaghmd pdr gc eátdmd lréoakd:  

 

Lrioaki:

Pgsdcvaghmd pdr Mgtgreahihtgs ‛ Eátdmd mg Kriegr:

 

Kdepirihmd cds mds eátdmds mg sdcukaûh mg cis gkuikadhgs y rgicazihmd cis kdeprd`ikadhgs mg cis easeis piri gstir sglurds qug gstuvagrih `agh kickucimis, hd ghtghmgeds pdrqug hds mi rgspugstis maogrghtgs, sa rggepcizieds gh ie`ds eátdmds cds vicdrgs qug tdei x y y ghkdhtrieds qug hd pdmgeds kdeprd`ir i ki`icamim gc rgsuctimd gxprgsimd gh cis mds gkuikadhgs.

. Ipcakir ci rglci mg Kriegr piri mgedstrir qug  R 59 ,Q  50 y Z 5; sdh cis sdcukadhgs piri gc sastgei mimd pdr:

 

0  y ∐ z 59 ∐ x + y 590  x ∐ y + z 5;

>

0

 Mgt ∐9

9

0

5

 

∐

∐

9

>

9

>

 

∐

9

0

9

0

9  

∐

 

9

( >∜9∜9 ) + ( 0∜>∜0 )+ (∐9∜∐9∜∐9 )∐( 0∜∐9∜9 )∐ ( >∜>∜∐9 ) ∐(∐9∜9∜0 )  5

9

0

 Νx 59

9

;

5

 

 

∐

 

99

0

>  9

9

∐

9

9 ;

  ∐9

( 9∜9∜9 ) + ( 0∜>∜; ) + (∐9∜9∜∐9 ) ∐( 0∜9∜9 )∐( 9∜>∜∐9 ) ∐(∐9∜9∜; )  5

>

9

 Νy 5∐9

9

0

;

  ∐9

>

9

>

 ∐9

9

9

0

;

5 ( >∜9∜9 ) + ( 9∜>∜ 0 )+ (∐ 9∜∐9∜; ) ∐( 9∜∐ 9∜9 )∐ ( >∜>∜; ) ∐(∐ 9∜9∜0 )  5

>

0

9 >

0

 Νz 5∐9

9

9  ∐ 9

9

0

5

 

∐

9

;

; 0

 

∐

; ;

? ;

  5 9

  5 

9

( >∜9∜; )+ (0∜9∜0 )+ ( 9∜∐9∜∐9 )∐( 0∜∐9∜; )∐ ( >∜9∜∐9 )∐( 9∜9∜0 )  5

1 ;

  5 ;

 

;. Egmaihtg gcaeahikaûh mg ahkûlhatis. Pgsdcvgr:

= x + =  y 5∐ 9> 2 x ∐ 7 y 5 7

(∐2 ) = x + =  y 5∐9>  ( = ) 2 x ∐7  y 57 ∐0> y 50> ∐70 y 59>>

;0 x

∐;0 x ∐;0 y 52>   y 5

  9>>

∐70

=  x + =

 

 5

∐07 9;

( ) 07

5∐9>

9;

=  x∐

9>> 5∐

9>

9;

=  x

 

5∐9> +

∐;>  

 

 x 5

9; =

5∐´ 5∐´

 

9>> 9;

;> 70

 5

∐97 0?

 

=- Kdhsamgrg gc sastgei prdpugstd. -Ghkughtrg ci sdcukaûh mgc sastgei isdkaimd ipcakihmd ci oiktdrazikaûh CW.

 I 5V 9∐;7 ∐;∐0