PRAKTIKUM 10 Penyelesaian Persamaan Linier Simultan Metode Eliminasi Gauss Seidel

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1 Prktkum 0 Peyeles Persm Ler Smult - Metode Elms Guss Sedel PRAKTIKUM 0 Peyeles Persm Ler Smult Metode Elms Guss Sedel Tuu : ler smult Mempelr metode Elms Guss Sedel utuk peyeles persm Dsr Teor : Metode ters Guss-Sedel dlh metode yg megguk proses ters hgg dperoleh l-l yg eruh. Bl dkethu persm ler smult: Berk l wl dr setp (= s/d ) kemud persm ler smult dts dtulsk med:... Deg meghtug l-l (= s/d ) megguk persm-persm d ts secr terus-meerus hgg l utuk setp (= s/d ) sudh sm deg l pd ters seelumy mk dperoleh peyeles dr persm ler smult terseut. Atu deg kt l proses ters dhetk l selsh l (= s/d ) deg l pd ters seelumy kurg dr l tolers error yg dtetuk. Poltekk Elektrok Neger Sury ITS 49

2 Prktkum 0 Peyeles Persm Ler Smult - Metode Elms Guss Sedel Ctt: Ht-ht dlm meyusu sstem persm ler ketk megguk metode ters Guss-Sedel. Perhtk setp koefse dr msg-msg pd semu persm d dgol utm ( ). Letkk l-l teresr dr koefse utuk setp pd dgol utm. Mslh dlh mslh pvotg yg hrus erer dperhtk, kre peyusu yg slh k meyek ters med dverge d tdk dperoleh hsl yg er. Algortm Metode Iters Guss-Sedel dlh seg erkut: () Msukk mtrk A, d vektor B esert ukury () Tetuk ts mksmum ters m_ter () Tetuk tolers error (4) Tetuk l wl dr, utuk = s/d (5) Smp dlm s, utuk = s/d (6) Utuk = s/d htug :,, e s (7) ters ters+ (8) Bl ters leh dr m_ter tu tdk terdpt e < utuk = s/d mk proses dhetk dr peyelesy dlh utuk = s/d. Bl tdk mk ulg lgkh (5) Poltekk Elektrok Neger Sury ITS 50

3 Prktkum 0 Peyeles Persm Ler Smult - Metode Elms Guss Sedel Flowchrt Elms Guss Sedel : START Iput : Ukur ordo mtrk() Augmeted Mtrk (A[][+]) Iters Mksmum (m_ter) Tolers Error (e) = s/d Iput : Nl wl s[]=[] T = s/d = s/d [] = A[ ][ ] A[ ][ ] e[] = [ ] s[ ] ters = ters+ A[ ][ ]* X[ ] F ters > m_ter or e[]<e Poltekk Elektrok Neger Sury ITS 5 T

4 Prktkum 0 Peyeles Persm Ler Smult - Metode Elms Guss Sedel = s/d Tmplk : X[] END Flowchrt Prosedur Tukr : Tukr Brs Mtrk(,k) (rs A[][]=0) k(rsa[k][k] 0) = s/d + Temp = A[][] A[][]=A[k][] A[k][]=temp END Poltekk Elektrok Neger Sury ITS 5

5 Prktkum 0 Peyeles Persm Ler Smult - Metode Elms Guss Sedel Tugs Pedhulu Tulsk dsr-dsr komputs dr metode Elms Guss Sedel utuk meyelesk persm ler smult, seg erkut :. Judul : METODE ELIMINASI GAUSS SEIDEL. Dsr teor dr metode Elms Guss Sedel. Algortm d Flowchrt Prosedur Perco. Selesk sstem persm ler erkut : 6 0. Implemetsk lgortm d flowchrt yg sudh derk d dkerk pd lpor pedhulu, llu s lemr lpor khr sepert form lpor khr yg dtetuk. Jlk progrm deg memsukk erg mcm l wl, kemud tmplk, tulsk ugmeted mtrk d hsl khr peyeles persm ler smult prosedur o utuk semu hsl yg telh dco. 4. Lkuk peukr rs mtrk persm ler smult : rs II deg rs III pd mtrk wl yg dkethu. Jlk progrm kemud tmplk, tulsk ugmeted mtrk d hsl khr peyeles persm ler smult dr mtrk yg telh dtukr rsy. Lkuk hl yg sm deg meukr kolom mtrk I deg mtrk II. 5. Ap pegruh dr msg-msg peukr rs d peukr kolom pd mtrk prosedur 4. Poltekk Elektrok Neger Sury ITS 5

6 Prktkum 0 Peyeles Persm Ler Smult - Metode Elms Guss Sedel FORM LAPORAN AKHIR Nm d NRP mhssw Judul Perco : METODE ELIMINASI GAUSS SEIDEL Algortm : Lstg progrm yg sudh er : Hsl perco :. Augmeted mtrk sl :. Perco dlkuk deg : MAX_ITER= d e=. Utuk l wl = (,, ) () () () e Dlkuk mml 4 kl deg 4 l wl yg ered 4. Peyeles khr persm ler smult : =. =. =. 5. Ulg lgkh s/d 4 utuk mtrk peukr rs, kemud lkuk utuk mtrk peukr kolom Ap pegruh dr : Peetu l wl tp vrel es deg umlh ters khr Peetu l error deg umlh ters khr Peukr rs mtrk persm ler smult Peukr kolom mtrk persm ler smult Poltekk Elektrok Neger Sury ITS 54