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Code is changed on 22.07.2025, Now it also works for Complex Number.
For wrong or incomplete solution, please submit the feedback form.
So, I will try my best to improve it soon.
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Solution
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Solution provided by AtoZmath.com
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Power Method for finding dominant eigenvalue calculator
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 1. `[[2,3],[5,4`powermethod`]]`
2. `[[1,6,1],[1,2,0],[0,0,3`powermethod`]]`
3. `[[1,2,0],[-2,1,2],[1,3,1`powermethod`]]`
4. `[[3,2],[1,4`powermethod`-1,1]]`
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Example1. Find Power Method for finding dominant eigenvalue ...
`[[2,3],[5,4]]`
`x_0` = 1,1Solution:`1^(st)` iteration :Multiply the matrix by the vectorNormalize the resulting vectorTo normalize, divide each element of vector by its largest absolute value, which is `9` `2^(nd)` iteration :Repeat the multiplicationNormalize againThe largest absolute value is `6.7778` `3^(rd)` iteration :Repeat the multiplicationNormalize againThe largest absolute value is `7.0328` `4^(th)` iteration :Repeat the multiplicationNormalize againThe largest absolute value is `6.9953` `5^(th)` iteration :Repeat the multiplicationNormalize againThe largest absolute value is `7.0007` `6^(th)` iteration :Repeat the multiplicationNormalize againThe largest absolute value is `6.9999` `:.` The dominant eigenvalue `lamda=6.9999~=7` and the dominant eigenvector is : |
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