Section: New Results

Formalizing the Spectral Theorem

Participant : Cyril Cohen.

We formalize the spectral theorem for normal, hermitian and unitary matrices (this work in progress is available at https://github.com/Barbichu/spectral) These results are useful in the study of rotations and rigid body transformations in dimension 3. This is a key ingredient of the singular value decomposition (useful in inverse kinematics, signal processing, and many other practical applications).