The matrix arithmetic-geometric mean inequality revisited

By Rajendra Bhatia, F. Kıttaneh. 2008

88 citations recorded by the source corpus.

Ideas related to matrix versions of the arithmetic-geometric mean inequality are explained.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/ddb19a21be01a9fac409d1061044b7d41f4ca6a2

How researchers see this paper

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

In Applied Mathematics

1. Wasim Audeh
2. F. Kıttaneh
3. T. Yamazaki
4. Pintu Bhunia
5. Kallol Paul
6. Ali Zamani
7. K. Shebrawi
8. Omar Hirzallah

In Computational Theory and Mathematics

1. Wasim Audeh
2. F. Kıttaneh
3. T. Yamazaki
4. Pintu Bhunia
5. Kallol Paul
6. Ali Zamani
7. K. Shebrawi
8. Omar Hirzallah

In Geometry and Topology

1. Wasim Audeh
2. F. Kıttaneh

Citations in the corpus

• Singular value inequalities for compact operators (2012, methodology): “As an application of our results, we present the following theorem, which is sharper and more general than the Bhatia-Kittaneh inequality given in [3], which states that if A, B ∈ K(H), then sj(AB ∗ + BA∗) sj((AA∗ + BB∗) ⊕ (AA∗ + BB∗)) (2.”