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The Geometric Mean of Min Matrices
- Shin, Byeong-Chun;
- Lim, Yongdo;
- Choi, Hayoung
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0초록
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.
키워드
positive definite matrix; min matrix; Karcher mean; tridiagonal matrix
- 제목
- The Geometric Mean of Min Matrices
- 저자
- Shin, Byeong-Chun; Lim, Yongdo; Choi, Hayoung
- 발행일
- 2025-06
- 유형
- Article; Early Access
- 권
- 29
- 호
- 3
- 페이지
- 449 ~ 465