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Metodos especiales ejercicio en clase

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Metodos especiales ejercicio en clase

1. 1. Metodo de Thomas B1 C1 X1 R1 A2 B2 C2 X X2 = R2 A3 B3 C3 X3 R3 A4 B4 X4 R4 X5 R5 1.00000 3 X1 5 3 1.00000 2 X X2 = 11 2 1.00000 5 X3 9 5 1.00000 3 X4 20 3 1 X5 6 1 U11 U12 L21 1 X U22 U23 L32 1 U33 U34 L43 1 U44 L54 1 1 1 3 3 1 -8 2 -0.25 1 X 1.5 5 3.33333 1 -15.667 -0.1915 1 1 D1 R1 L21 1 X D2 = R2 L32 1 D3 R3 L43 1 D4 R4 1 5 5 3 1 X -4 = 11 -0.25 1 8 9 3.33333 1 -6.666667 20 -0.1915 1 4.7234043 6 U11 U12 X1 D1 U22 U23 X X2 = D2 U33 U34 X3 D3
2. 2. U44 X4 D4 1 3 2 5 -8 2 X 1 = -4 1.5 5 2 8 -15.667 3 1 -6.666667 1.5745 3 4.723404
3. 3. A1= 0 B1= 1 C1= 3 R1= 5 A2= 3 B2= 1 C2= 2 R2= 11 A3= 2 B3= 1 C3= 5 R3= 9 A4= 5 B4= 1 C4= 0 R4= 20 A5= 0 B5= 3 C5 0 R5= 6 B1 C1 = A2 B2 C2 A3 B3 C3 u45 A4 B4 C4 u55 a5 b5 1.00000 3 3 1.00000 2 = 2 1.00000 5 3 5 1.00000 3 1.57447 3 1
4. 4. RESPUESTA= 2 1 2 1 3
5. 5. Metodo de cholesky A11 A12 A13 L11 A21 A22 A23 L21 L22 A31 A32 A33 L31 L32 12 20 12 3.46410162 20 45 25 5.77350269 3.41565026 12 25 40 3.46410162 1.46385011 3.46410162 5.77350269 3.41565026
6. 6. 1 2 L33 4 5.08499192 3.46410162 1.46385011 5.08499192