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GAUSS SEIDEL

GAUSS SEIDEL. Nurina Firdausi 125060301111042. Kelebihan. Untuk mengatasi round-off error Metode eliminasi gauss dan LU Decomposition rawan terhadap kesalahan pembulatan . Cara penyelesaian.

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GAUSS SEIDEL

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  1. GAUSS SEIDEL Nurina Firdausi 125060301111042

  2. Kelebihan Untukmengatasi round-off error Metodeeliminasi gauss dan LU Decomposition rawanterhadapkesalahanpembulatan.

  3. Cara penyelesaian • Prosesiterasidihentikanbilanilaiuntuksetiapxi(i=1 s/d n) sudah = nilai xi padaiterasisebelumnya. • Atauprosesiterasidihentikanbilaselisihnilai xi (i=1 s/d n) dengannilai xi padaiterasisebelumnyakurangdarinilaitolerasierror yang ditentukan.

  4. Hati-hatidalammenyusunsistempersamaan linier ketikamenggunakanmetodeiterasi Gauss-Seidel ini. Perhatikansetiapkoefisiendarimasing-masingxi padasemuapersamaandi diagonal utama (aii). Letakkannilai-nilaiterbesardarikoefisienuntuksetiap xi pada diagonal utama. Masalahiniadalah ‘masalah pivoting’ yang harusbenar-benardiperhatikan, karenapenyusun yang salahakanmenyebabkaniterasimenjadidivergendanhasilmenjadisalah.

  5. Prosesiterasi

  6. SEKIAN

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