Intel® oneAPI Math Kernel Library
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Find sign of determinat

ustatic
Beginner
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Iwant to find the sign of large matrix determinat. In a iterative dichotomic process, let find when the matrix becomes singular when the sign of determinant changes.

Do you know some function of mkl to do this?

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Michael_C_Intel4
Employee
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Hello,

I'm afraid there's no easier way to know the sign of the determinant than to compute a determinant, which is equivalent to making LU decomposition.

It would be difficult also to detect a singularity because of the rounding errors during computation. The result could be unpredictable atsingular or ill-conditioned matrix.

Michael.

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