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Update documentation to clarify cross product for complex numbers.

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Antonio Sánchez 2025-01-16 00:52:40 +00:00 committed by Charles Schlosser
parent 2e76277bd0
commit abac563f5d
1 changed files with 4 additions and 2 deletions
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6
Eigen/src/Geometry/OrthoMethods.h
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@ -78,8 +78,10 @@ struct cross_impl<Derived, OtherDerived, 2> {
* spanned by the two vectors. * spanned by the two vectors.
* *
* \note With complex numbers, the cross product is implemented as * \note With complex numbers, the cross product is implemented as
* \f$ (\mathbf{a}+i\mathbf{b}) \times (\mathbf{c}+i\mathbf{d}) = (\mathbf{a} \times \mathbf{c} - \mathbf{b} \times * \f[ (\mathbf{a}+i\mathbf{b}) \times (\mathbf{c}+i\mathbf{d}) = (\mathbf{a} \times \mathbf{c} - \mathbf{b} \times
* \mathbf{d}) - i(\mathbf{a} \times \mathbf{d} + \mathbf{b} \times \mathbf{c})\f$ * \mathbf{d}) - i(\mathbf{a} \times \mathbf{d} + \mathbf{b} \times \mathbf{c}).\f]
* This definition preserves the orthogonality condition that \f$\mathbf{u} \cdot (\mathbf{u} \times \mathbf{v}) =
* \mathbf{v} \cdot (\mathbf{u} \times \mathbf{v}) = 0\f$.
* *
* \sa MatrixBase::cross3() * \sa MatrixBase::cross3()
*/ */