scholarly journals A converse inequality of higher order weighted arithmetic and geometric means of positive definite operators

2007 ◽  
Vol 426 (2-3) ◽  
pp. 490-496 ◽  
Author(s):  
Sejong Kim ◽  
Yongdo Lim
Keyword(s):  
Positive Definite ◽  
Higher Order ◽  
Geometric Means ◽  
Weighted Arithmetic ◽  
Positive Definite Operators ◽  
Converse Inequality

scholarly journals Some trace inequalities for operators

1995 ◽  
Vol 58 (2) ◽  
pp. 281-286 ◽  
Author(s):  
Xinmin Yang
Keyword(s):  
Positive Definite ◽  
Positive Definite Operators ◽  
Open Question ◽  
Trace Inequalities ◽  
Inequalities For Operators

AbstractIn this paper, we obtain some trace inequalities for arbitrary finite positive definite operators. Finally an open question is presented.

scholarly journals Maps on positive definite operators preserving the quantum $$\chi _\alpha ^2$$ χ α 2 -divergence

2017 ◽  
Vol 107 (12) ◽  
pp. 2267-2290 ◽  
Author(s):  
Hong-Yi Chen ◽  
György Pál Gehér ◽  
Chih-Neng Liu ◽  
Lajos Molnár ◽  
Dániel Virosztek ◽  
...  
Keyword(s):  
Positive Definite ◽  
Positive Definite Operators

scholarly journals Multi-variable weighted geometric means of positive definite matrices

2011 ◽  
Vol 435 (2) ◽  
pp. 307-322 ◽  
Author(s):  
Hosoo Lee ◽  
Yongdo Lim ◽  
Takeaki Yamazaki
Keyword(s):  
Positive Definite ◽  
Positive Definite Matrices ◽  
Geometric Means

First-order autoregressive models for gamma and exponential processes

1990 ◽  
Vol 27 (2) ◽  
pp. 325-332 ◽  
Author(s):  
C. H. Sim
Keyword(s):  
Laplace Transform ◽  
Autoregressive Model ◽  
Positive Definite Matrix ◽  
Positive Definite ◽  
Higher Order ◽  
Gamma Process ◽  
Correlation Structure ◽  
First Order ◽  
Joint Distributions ◽  
Two Parameter

In this paper we propose an autoregressive representation for a particular type of stationary Gamma(θ–1, v) process whose n-dimensional joint distributions have Laplace transform |In + θSnVn|–v, where Sn = diag(s1, · ··, sn), Vn is an n × n positive definite matrix with elements υ ij = p|i–j|i2, i, j = 1, ···, n and p is the lag-1 autocorrelation of the gamma process. We also generalize the two-parameter NEAR(1) model of Lawrance and Lewis (1981) to an exponential first-order autoregressive model with three parameters. The correlation structure and higher-order properties of the two proposed models are also given.

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