trace inequalities
Trace inequalities of Shisha-Mond type for operators in Hilbert spaces
... Dragomir, Reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces.. Fink, A treatise on Grüss’ inequality, Analytic and Geometric Inequal[r] ...
16
Several matrix trace inequalities on Hermitian and skew Hermitian matrices
... matrix trace inequalities on Hermitian and skew-Hermitian ma- ...matrix trace inequalities can be applied to design and analyze interior-point methods (IPMs) for semidefinite optimization ...
8
Trace-Inequalities and Matrix-Convex Functions
... A real-valued continuous function f t on an interval α, β gives rise to a map X → fX via functional calculus from the convex set of n × n Hermitian matrices all of whose eigenvalues belong to the interval. Since the ...
12
Recent developments of Schwarz's type trace inequalities for operators in Hilbert spaces
... recent trace inequalities for oper- ators in Hilbert spaces that are connected to Schwarz’s, Buzano’s and Kato’s inequalities and the reverses of Schwarz inequality known in the literature as ...
77
Trace inequalities for positive operators via recent refinements and reverses of Young's inequality
... some trace inequalities for positive operators via recent refinements and re- verses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and ...
13
On some trace inequalities for positive definite Hermitian matrices
... The rest of this paper is organized as follows. In Section , we will give the relevant defi- nitions and properties of Hermitian matrices. In Section , we will quote some lemmas; in Section , which is the main part of ...
6
Trace inequalities for positive semidefinite matrices with centrosymmetric structure
... Trace inequalities for positive semidefinite matrices with centrosymmetric structure Di Zhao1, Hongyi Li1* and Zhiguo Gong2 * Correspondence: Hongyili_buaa@163.com 1 LMIB, School of Math[r] ...
6
On Some Matrix Trace Inequalities
... Feng, “A note on the trace inequality for products of Hermitian matrix power,” Journal of Inequalities in Pure and Applied Mathematics, vol.. Thirring, Studies in Mathematical Physics, E[r] ...
8
Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces
... The following result provides reverses for the inequalities (2.2) and (2.3) above: Theorem 2.2. Let A be a selfadjoint operator on the Hilbert space H and assume that Sp (A) ⊆ [m, M ] for some scalars m, M with m ...
18
Trace inequalities of Cassels and Grüss type for operators in Hilbert spaces
... Some inequalities for positive definite matrices, in: ...General Inequalities 2, Proceedings of the 2nd International Conference on General Inequalities, Birkh¨ auser, Basel, 1980, ...
20
Reverse Jensen’s type Trace Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces
... Some inequalities for positive definite matrices, in: ...General Inequalities 2, Proceedings of the 2nd International Conference on General Inequalities, Birkhäuser, Basel, 1980, ...
24
Some trace inequalities for matrix means
... In this short note, we first obtain a trace inequality, which is similar to inequality ... This article is distributed under the terms of the Creative Commons Attribution 4.0 Internatio[r] ...
5
Trace Inequalities of Lipschitz Type for Power Series of Operators on Hilbert Spaces
... the interval [0, R) and since the function ψ(t) := ∥ (1 − t)T + tV ∥ is convex on [0, 1] we have that f a ′ ◦ ψ is also convex on [0, 1]. Utilising the Hermite- Hadamard inequality for convex functions (see for instance ...
30
Trace Inequalities for Matrix Products and Trace Bounds for the Solution of the Algebraic Riccati Equations
... the trace of the product of two real square matrices in which one is ...the trace are the tightest among the parallel trace bounds in symmetric ...some trace bounds for the solution of the ...
17
An operator extension of čebyšev inequality
... [12] ———, Some trace inequalities of ˘ Ceby˘ sev type for functions of operators in Hilbert spaces , Linear Multilinear Algebra... S´ andor, The ˘ Ceby˘ sev inequality in pre-Hilbertian [r] ...
14
KLEIN’S TRACE INEQUALITY AND SUPERQUADRATIC TRACE FUNCTIONS
... In Section 3, we present a Klein trace inequality for superquadrtic functions. We show that our result improves previous results in the case of non-negative functions. In-addition, some applications of our results ...
14
Johan Mackenbach, awarded an honorary doctorate for his work on health inequalities, in a discussion of burning issues in tackling health inequalities
... As a consequence of this impressive contribution to the field, the Catholic University of Louvain (UCL) awarded, Professor Johan Mackenbach (JM), on the 20 th of March 2015, an honorary doctorate for his out- standing ...
5
Trace Management, Debug, Analysis and Testing Tool for Embedded Systems
... However, trace management and analysis are hindered by several issues like the diversity of trace formats, the incompatibility of trace analysis methods, the problem of trace size and its ...
7
SNPmplexViewer toward a cost effective traceability system
... this trace file should be obtained from a run of an individual that is heterozygous for all of the SNP mar- kers, or several individuals whose DNA mixture would reveal all possible ...SNaPshot trace ...
7
Solution Building for Arbitrary System of Linear Inequalities in an Explicit Form
... solve the corresponding problem of linear programming (LP). However, we are interested in the complete cleanup of matrix in the framework of orthogonal projecting pro- cedure (OPP), when inequalities number rapid ...
11