Maximizing traces of matrix functions
β Scribed by S.W Drury
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 229 KB
- Volume
- 387
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let 5 be a family of subsets of an n-set, considered as a subposet of the Boolean algebra B.. Adjoin a minimum 0 and maximum i if necessary to form @. Let ~(95) denote the value of the Mdbius function p(6,i) in &. We compute the maximum value of Ip( as 9 ranges over three types of families in B,: lo
There are basic equivalent assertions known for operator monotone functions and operator convex functions in two papers by Hansen and Pedersen. In this note we consider their results as correlation problem between two sequences of matrix n-monotone functions and matrix n-convex functions, and we foc
## Abstract The purpose of this article is to present an algorithm for globally maximizing the ratio of two convex functions __f__ and __g__ over a convex set __X__. To our knowledge, this is the first algorithm to be proposed for globally solving this problem. The algorithm uses a branch and bound