Abstract
In this paper, we consider the geometric mean of min matrices. We establish a closed form for the geometric mean of two positive definite min matrices. We further show that the set of min matrices is geodesically convex in the Cartan–Hadamard manifold of positive definite matrices. We also present monotonic one-parameter families of min matrices.
| Original language | English |
|---|---|
| Pages (from-to) | 449-465 |
| Number of pages | 17 |
| Journal | Taiwanese Journal of Mathematics |
| Volume | 29 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Jun 2025 |
Keywords
- Karcher mean
- min matrix
- positive definite matrix
- tridiagonal matrix
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