Determinantal Inequalities Lead to Triplet and Quartet Relationships

1991 ◽  
pp. 53-56
Author(s):  
Herbert A. Hauptman
Keyword(s):  
Determinantal Inequalities

scholarly journals On a determinantal inequality arising from diffusion tensor imaging

2016 ◽  
Vol 19 (05) ◽  
pp. 1650044 ◽  
Author(s):  
Minghua Lin
Keyword(s):  
Diffusion Tensor Imaging ◽  
Diffusion Tensor ◽  
Positive Semidefinite ◽  
Positive Semidefinite Matrices ◽  
Determinantal Inequality ◽  
Determinantal Inequalities

In comparing geodesics induced by different metrics, Audenaert formulated the following determinantal inequality [Formula: see text] where [Formula: see text] are [Formula: see text] positive semidefinite matrices. We complement his result by proving [Formula: see text] Our proofs feature the fruitful interplay between determinantal inequalities and majorization relations. Some related questions are mentioned.

Extremal matrices in certain determinantal inequalities

1998 ◽  
Vol 44 (3) ◽  
pp. 261-276 ◽  
Author(s):  
Natália Bebiano ◽  
Cecília Perdigão
Keyword(s):  
Determinantal Inequalities

Determinantal inequalities among ?rn?

1993 ◽  
Vol 48 (S27) ◽  
pp. 377-384 ◽  
Author(s):  
P. Csavinszky
Keyword(s):  
Determinantal Inequalities

scholarly journals Two determinantal inequalities for positive semidefinite matrices

2021 ◽  
Author(s):  
Yan Hong ◽  
Feng Qi
Keyword(s):  
Positive Semidefinite ◽  
Positive Semidefinite Matrices ◽  
Determinantal Inequalities

Abstract Let A,B,C ∈ Cnxn be positive semidefinite matrices. In this paper, the authors prove two determinantal inequalities|A+B+C|+|C|≥|A+C|+|B+C|+(3n −2 n+1+1)|ABC|1/3and|A+B+C|+|A|+|B|+|C|≥|A+B|+|A+C|+|B+C|+3(3n−1−2n+1)|ABC|1/3.These two inequalities improve known ones.

scholarly journals New determinantal inequalities concerning Hermitian and positive semi-definite matrices

2021 ◽  
pp. 105-116
Author(s):  
Hassane Abbas ◽  
Mohammad M. Ghabries ◽  
Bassam Mourad
Keyword(s):  
Determinantal Inequalities
Sign in / Sign up

Export Citation Format

Share Document