1) Using the fixed point iteration, solve the equation0.8e−0.6x−x= 0.Selectp0= 0 as an initial approximation and use the stopping cri-terium|pn+1−pn|<0.001.Perform the calculations with 4 decimal digits.2) Solve the linear system below by applying the triangular factoriza-tion of the coefficient matrix: x1+ 2x2 −3x3 =−5 −x1 + 4x3 = 72 x1+5x2+10x3=22 (1) Using the fixed point iteration, solve the equation0.8e-0.6xx = 0.-Select po = 0 as an initial approximation and use the stopping cri-terium |pn+1 – Pn| < 0.001. Perform the calculations with 4 decimaldigits.(2) Solve the linear system below by applying the triangular factoriza-tion of the coefficient matrix:-3x3 =+4x3 =2.x1 +5x2 +10x3xị +2x2-522|||

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Answered: (2) Solve the linear system below by…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.5: Iterative Methods For Solving Linear Systems

Problem 5EQ

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1) Using the fixed point iteration, solve the equation0.8e−0.6x−x= 0.Selectp0= 0 as an initial approximation and use the stopping cri-terium|pn+1−pn|<0.001.Perform the calculations with 4 decimal digits.

2) Solve the linear system below by applying the triangular factoriza-tion of the coefficient matrix: x1+ 2x2 −3x3 =−5

−x1 + 4x3 = 72

x1+5x2+10x3=22

(1) Using the fixed point iteration, solve the equation
0.8e-0.6x
x = 0.
-
Select po = 0 as an initial approximation and use the stopping cri-
terium |pn+1 – Pn| < 0.001. Perform the calculations with 4 decimal
digits.
(2) Solve the linear system below by applying the triangular factoriza-
tion of the coefficient matrix:
-3x3 =
+4x3 =
2.x1 +5x2 +10x3
xị +2x2
-5
22
|||

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