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real power of a matrix composed of complex numbers #31

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mcartron opened this issue Oct 25, 2022 · 1 comment
Closed

real power of a matrix composed of complex numbers #31

mcartron opened this issue Oct 25, 2022 · 1 comment

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@mcartron
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mcartron commented Oct 25, 2022 •
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Hello,
I have detected a potential bug with your module.
This code fails :
Matrix.rows([[Complex(1,1), Complex(2,1)], [Complex(3,1), Complex(4,1)]])**0.5
While this two lines of codes correctly run :
Matrix.rows([[1,2], [3,4]])**0.5
Matrix.rows([[Complex(1,1), Complex(2,1)], [Complex(3,1), Complex(4,1)]])**4
Best regards,
Mickael Cartron
@marcandre
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marcandre commented Oct 25, 2022 •
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Thank you for the report.

You are correct, non-integer powers of Complex matrices will not work 😢. The diagonalisation code is translated directly from JAMA which only supports real matrices inputs, even though it may output complex results.

I have added some words in the documentation to that effect.

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@marcandre @mcartron