- #1
gtfitzpatrick
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Homework Statement
consider the systems of equations
2x1 - x2 = 1
-31 + 4x2 =11
a) determine the ixact solution?
b)apply jacobi iteration.Does the matrix C satisfy the required condition?
c)starting with x(0) =( [tex]\stackrel{1}{1}[/tex] ) calculate x(1) and x(2) and the prior error bound for x(2)
d)how many iterations will suffice to get within 0.001 of the solution?
a) grand 3 and 5
b) it clearly satisfies the condition as off diagonals < diagonals
c) so did it out got
x(0) = ( [tex]\stackrel{1}{14/4}[/tex] )
x(1) = ( [tex]\stackrel{18/8}{14/4}[/tex] )
x(2) = ( [tex]\stackrel{18/8}{71/16}[/tex] )
but now I am not sure what is meant by prior error bound, compare with the actual error?
d) do i just keep doing it out till i get within .001? (aghhhhh)