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Power iteration in Matlab.

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A123456
A123456 2016-2-10
回答： Bolivia Correa Tayniz 2021-9-24
How can I implement the power iteration method in matlab? I have a vector, v and a matrix, G, I need to multiply them together using the answer in the previous iterate continuously until it converges to a constant vector. So about 20-30 iterations will need to be done.
v = 0.2669 0.1413 0.3570 0.3836 0.5105 0.6112
G =
0.1667 0.1667 0.1667 0.1667 0.1667 0.1667
0.8750 0.0250 0.0250 0.0250 0.0250 0.0250
0.8750 0.0250 0.0250 0.0250 0.0250 0.0250
0.3083 0.5917 0.0250 0.0250 0.0250 0.0250
0.8750 0.0250 0.0250 0.0250 0.0250 0.0250
0.3083 0.3083 0.3083 0.0250 0.0250 0.0250

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采纳的回答

Walter Roberson
Walter Roberson 2016-2-10
r = v;
for K = 1 : 30
r = r * G;
end
  1 个评论
Torsten
Torsten 2016-2-11
Note that the vector r in the power iteration method must be normalized in each step:
r = r/norm(r);
Best wishes
Torsten.

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Bolivia Correa Tayniz

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