AI RESEARCH
Complex Interpolation of Matrices with an application to Multi-Manifold Learning
arXiv CS.LG
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ArXi:2604.14118v1 Announce Type: new Given two symmetric positive-definite matrices $A, B \in \mathbb{R}^{n \times n}$, we study the spectral properties of the interpolation $A^{1-x} B^x$ for $0 \leq x \leq 1$. The presence of `common structures' in $A$ and $B$, eigenvectors pointing in a similar direction, can be investigated using this interpolation perspective.