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Feature/povolny1/polar decomposition #277

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This PR implements the polar decomposition for real square 2x2 and 3x3 matrices using Higham's iterative algorithm. This is needed for some constitutive models and particularly a new hypoelastic update that I'm implementing.

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Can you add some tests?

src/fixedSizeSquareMatrixOpsImpl.hpp Outdated Show resolved Hide resolved
src/fixedSizeSquareMatrixOpsImpl.hpp Outdated Show resolved Hide resolved
error += RRTMinusI[i][j] * RRTMinusI[i][j];
}
}
}
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Do you want to error out (or at least return a signal) if it doesn't converge?

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What should I use to print an error message? Using LVARRAY_WARNING_IF() fails to compile since it calls std::cout.

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I'd either return the achieved tolerance or the number of iterations or just a boolean to indicate success or failure. Alternatively you can use LVARRAY_ERROR_IF which works on device to just kill the program.

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povolny1 commented Mar 9, 2023

Unit test is implemented and passing, I will make an accompanying PR for GEOSX soon

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