Let f be a convex function defined on an interval I , 0 Ξ± 1 and A, B n Γ n complex Hermitian matrices with spectrum in I. We prove that the eigenvalues of f (Ξ±A + (1Ξ±)B) are weakly majorized by the eigenvalues of Ξ±f (A) + (1Ξ±)f (B). Further if f is log convex we prove that the eigenvalues of f (Ξ±A +
β¦ LIBER β¦
Weak log-majorization, Mahler measure and polynomial inequalities
β Scribed by Rajesh Pereira
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 115 KB
- Volume
- 421
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Weak majorization inequalities and conve
β
Jaspal Singh Aujla; Fernando C. Silva
π
Article
π
2003
π
Elsevier Science
π
English
β 143 KB
Log majorization and complementary Golde
β
Tsuyoshi Ando; Fumio Hiai
π
Article
π
1994
π
Elsevier Science
π
English
β 819 KB
Finite-Dimensional Mahler Measure of a P
β
JΓ©rome DΓ©got
π
Article
π
1997
π
Elsevier Science
π
English
β 545 KB
This paper is concerned with the study of Mahler's measure of an univariate polynomial. A theorem of Szego says that the measure of P is equal to the infimum of &PQ& 2 where Q is a monic polynomial. Here we study how the infimum of &PQ& 2 , where Q is monic and has degree k, tends to the measure of
Weak-type inequalities for Kantorovitch
β
Erich van Wickeren
π
Article
π
1987
π
Elsevier Science
β 303 KB
Polynomials with a parabolic majorant an
β
Q.I Rahman; A.O Watt
π
Article
π
1992
π
Elsevier Science
π
English
β 610 KB
Polynomial Inequalities on Measurable Se
β
Michael I. Ganzburg
π
Article
π
2000
π
Elsevier Science
π
English
β 251 KB