Embed Size (px)
Citation preview
7/23/2019 Ch_4_Sistem Persamaan Linier New 2014
http://slidepdf.com/reader/full/ch4sistem-persamaan-linier-new-2014 1/18
Sistem Persamaan Linier
Metode NumerikNorman, MT
13 Oktober 2014
7/23/2019 Ch_4_Sistem Persamaan Linier New 2014
http://slidepdf.com/reader/full/ch4sistem-persamaan-linier-new-2014 2/18
Sistem Persamaan Linier
Continued
7/23/2019 Ch_4_Sistem Persamaan Linier New 2014
http://slidepdf.com/reader/full/ch4sistem-persamaan-linier-new-2014 3/18
Page s 833-834bContinued
7/23/2019 Ch_4_Sistem Persamaan Linier New 2014
http://slidepdf.com/reader/full/ch4sistem-persamaan-linier-new-2014 4/18
1. Gauss elimination (Eliminasi Gauss)
Kata kunci prosesnya :1. Eliminasi menjadi bentuk triangular
. Pi!ot (partial pi!oting)
". Subtitusi #alik
7/23/2019 Ch_4_Sistem Persamaan Linier New 2014
http://slidepdf.com/reader/full/ch4sistem-persamaan-linier-new-2014 5/18
Contoh 1 :
Continued
7/23/2019 Ch_4_Sistem Persamaan Linier New 2014
http://slidepdf.com/reader/full/ch4sistem-persamaan-linier-new-2014 6/18
Contoh 1 :
Continued
7/23/2019 Ch_4_Sistem Persamaan Linier New 2014
http://slidepdf.com/reader/full/ch4sistem-persamaan-linier-new-2014 7/18
Page 83!Contoh 1 :
Continued
7/23/2019 Ch_4_Sistem Persamaan Linier New 2014
http://slidepdf.com/reader/full/ch4sistem-persamaan-linier-new-2014 8/18
Pages 83-83"Contoh 1 :
Finish
7/23/2019 Ch_4_Sistem Persamaan Linier New 2014
http://slidepdf.com/reader/full/ch4sistem-persamaan-linier-new-2014 9/18
Page 841a
Continued
. L$% &actori'ation
7/23/2019 Ch_4_Sistem Persamaan Linier New 2014
http://slidepdf.com/reader/full/ch4sistem-persamaan-linier-new-2014 10/18Continued
. L$% &actori'ation (Doolittle’s Methode)
L $
7/23/2019 Ch_4_Sistem Persamaan Linier New 2014
http://slidepdf.com/reader/full/ch4sistem-persamaan-linier-new-2014 11/18
Pages 841-842b. L$% &actori'ation (Doolittle’s Methode)
Continued
Ly b
$ y
7/23/2019 Ch_4_Sistem Persamaan Linier New 2014
http://slidepdf.com/reader/full/ch4sistem-persamaan-linier-new-2014 12/18
Pages 842-843a. L$% &actori'ation (Cholesky’s Methode)
7/23/2019 Ch_4_Sistem Persamaan Linier New 2014
http://slidepdf.com/reader/full/ch4sistem-persamaan-linier-new-2014 13/18
Page 843a
Continued
. L$% &actori'ation (Cholesky’s Methode)
L $
7/23/2019 Ch_4_Sistem Persamaan Linier New 2014
http://slidepdf.com/reader/full/ch4sistem-persamaan-linier-new-2014 14/18
Page 843b. L$% &actori'ation (Cholesky’s Methode)
Continued
7/23/2019 Ch_4_Sistem Persamaan Linier New 2014
http://slidepdf.com/reader/full/ch4sistem-persamaan-linier-new-2014 15/18
Pages 84"-84#a
Continued
". Gauss%Seidel *teration
7/23/2019 Ch_4_Sistem Persamaan Linier New 2014
http://slidepdf.com/reader/full/ch4sistem-persamaan-linier-new-2014 16/18
Pages 84"-84#b
Continued
". Gauss%Seidel *teration
7/23/2019 Ch_4_Sistem Persamaan Linier New 2014
http://slidepdf.com/reader/full/ch4sistem-persamaan-linier-new-2014 17/18
Pages 84"-84#!". Gauss%Seidel *teration
7/23/2019 Ch_4_Sistem Persamaan Linier New 2014
http://slidepdf.com/reader/full/ch4sistem-persamaan-linier-new-2014 18/18
+$*S 1.
1$ Tentukan akar-akar dari :
%&'( ) '2 * 3 dengan metode bise!tion dimana '1 ) 1
dan 'u ) 2, iterasikan 3 ka+i dan hitung a$ɛ
2$ e+esaikan dengan Neton ra.hson /&'( ) '2 * ' * 2 dengan tebakan aa+ 'o ) 0
iterasikan 3 ka+i dan hitung a$ɛ
