تم الحل ✓
categoryرياضيات
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
QUESTION 1
Solve for X1 and X2 in the system of equations given by:
x2 3x1+1.9=0
x2+x12-3.0 = 0
Use pure Gauss iteration. What is the value of X1 after 50 iterations starting with X1(0) = 1 and X2(0) = 1? The accuracy should be +0.0001.
(The use of Matlab is strongly recommended).
QUESTION 2
Redo Question 1 using Gauss-Seidel procedure (use the updated variables as soon as they become available).
What is the value of X 1 after 25 iterations starting with X1(0) = 1 and X2(0) = 1? The accuracy should be +0.0001.
QUESTION 3
Redo Question 1 using honest Newton-Raphson procedure (recalculate the Jacobian matrix after each iteration).
What is the value of X1 after 3 iterations starting with X1(0) = 1 and X2(0) = 1? The accuracy should be ± 0.0001.
QUESTION 4
Redo Question 1 using dishonest Newton-Raphson procedure (calculate the Jacobian matrix only once).
What is the value of X1 after 3 iterations starting with X1(0) = 1 and X2(0) = 1? The accuracy should be ± 0.0001.
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