40 0 -1 -1 1 Suppose M = 06 0 E= 2 1 -1 start with any initial solution vector X0, then the iteration 00-4] -1 1 formula M xK+1) = Ex) +b, k = 0. 1. 2, ...produce the sequence of vectors {x -1 this sequence k=0' O a. converges to the exact solution O b. diverges C. no enough information to decide whether it is converges or diverges

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
400
-1 -1 1
Suppose M = 06 0
E =
2 1 -1
start with any initial solution vector X0), then the iteration
LO0-4
-1 1
-1
formula M x*+1) = ExK) +b, k = 0. 1. 2, ...produce the sequence of vectors {x
%3D
this sequence
k=0'
O a. converges to the exact solution
O b. diverges
O c. no enough information to decide whether it is converges or diverges
Transcribed Image Text:400 -1 -1 1 Suppose M = 06 0 E = 2 1 -1 start with any initial solution vector X0), then the iteration LO0-4 -1 1 -1 formula M x*+1) = ExK) +b, k = 0. 1. 2, ...produce the sequence of vectors {x %3D this sequence k=0' O a. converges to the exact solution O b. diverges O c. no enough information to decide whether it is converges or diverges
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