Geometric means on symmetric cones

Archiv der Mathematik

Volumn 75, Issue 1, 2000, Pages 39-45

  Lim, Yongdo ^a  

^a Kyungpook National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034346424     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000130050471     Document Type: Article

References (7)

1. T ANDO, Topics on operator inequalities. Hokkaido Univ., Sapporo 1978.
2. P. BOUGEROL, Kalman filtering with random coefficients and contractions. SIAM J. Control Optim. 31, 942-959 (1993).
3. M. FIEDLER and V. PTAK, A new positive definite geometric mean of two positive definite matrices. Linear Algebra Appl. 251, 1-20 (1997).
4. J. FARAUT and A. KORÁNYI, Analysis on symmetric cones. Oxford 1994.
5. S. HELGASON, Differential geometry, Lie groups, and symmetric spaces. Pure Appl. Math., Boston 1978.
6. R. NUSSBAUM, Hilbert's projective metric and iterated nonlinear maps. Mem. Amer. Math. Soc. 75, 1988.
7. A. UNTERBERGER and H. UPMEIER, Pseudodifferential analysis on symmetric cones. Studies in Advanced Mathematics, Boca Raton 1996.