Trace inequalities for positive semidefinite matrices
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2017, Vol 37, Issue 1
Abstract
Certain trace inequalities for positive definite matrices are generalized for positive semidefinite matrices using the notion of the group generalized inverse.
Authors and Affiliations
Projesh Nath Choudhury, K. C. Sivakumar
Keywords
Related Articles
- EP ID EP394548
- DOI 10.7151/dmgaa.1267
- Views 43
- Downloads 0
THE ARMENDARIZ GRAPH OF A RING
In this paper we initiate the study of Armendariz graph of a commutative ring R and investigate the basic properties of this graph such as diameter, girth, domination number, etc. The Armendariz graph of a ring R, denote...
Strong quasi k-ideals and the lattice decompositions of semirings with semilattice additive reduct
Here we introduce the notion of strong quasi k-ideals of a semiring in SL+ and characterize the semirings that are distributive lattices of t-k-simple(tk-Archimedean) subsemirings by their strong quasi k-ideals. A quasi...
SOME RESULTS OF REVERSE DERIVATION ON PRIME AND SEMIPRIME Γ-RINGS
In the present paper, it is introduced the definition of a reverse derivation on a Γ-ring M. It is shown that a mapping derivation on a semiprime Γ-ring M is central if and only if it is reverse derivation. Also it is sh...
LOCAL COHOMOLOGY MODULES AND RELATIVE COHEN-MACAULAYNESS
Let (R, m) denote a commutative Noetherian local ring and let M be a finite R-module. In this paper, we study relative Cohen-Macaulay rings with respect to a proper ideal a of R and give some results on such rings in rel...
An ideal-based zero-divisor graph of direct products of commutative rings
In this paper, specifically, we look at the preservation of the diameter and girth of the zero-divisor graph with respect to an ideal of a commutative ring when extending to a finite direct product of commutative rings....