Notions generalizing convexity for functions defined on spaces of matrices

By C. Davis. 1963

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Mikhail Khodak
2. Ameet Talwalkar
3. Maria-Florina Balcan
4. K. Parthasarathy
5. Eric A. Carlen
6. Alireza Fallah
7. Aryan Mokhtari
8. Tian Li

Citations in the corpus

• Adaptive Gradient-Based Meta-Learning Methods (2019, methodology): “By the Löwner-Heinz theorem [18], x−1, x, and x(2) are operator convex.”
• TRACE INEQUALITIES AND QUANTUM ENTROPY: An introductory course (2009, background): “The proof we give is due to Kato [32]; see [21] for its specialization to the matrix case, which we present here.”
• Positive Definite Functions and Operator Inequalities (2000, background): “Among the several papers and books where such functions are studied are [1, 2, 3, 7, 8, 12, 13, 19, 22, 23, 25].”