Matrix Hölder-McCarthy inequality via matrix geometric means

被引：0
|
作者：
Ryosuke Nakayama
Yuki Seo
Reo Tojo
机构：
[1] Osaka Kyoiku University,Department of Mathematics Education
来源：
Advances in Operator Theory | 2020年 / 5卷
关键词：
Matrix inequalities; Hölder-McCarthy inequality; Quasi-arithmetic power mean; Positive definite matrix; 15A45; 47A63; 47A64;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, by virtue of an expression of matrix geometric means for positive semidefinite matrices via the Moore-Penrose inverse, we show matrix versions of the Hölder-McCarthy inequality, the Hölder inequality and quasi-arithmetic power means via matrix geometric means, and their reverses for positive definite matrices via the generalized Kantorovich constant.
引用
收藏
页码：744 / 767
页数：23
相关论文
共 50 条
  • [41] A simple proof for the inequality between the perron root of a nonnegative matrix and that of its geometric symmetrization
    Alpin Y.A.
    Merikoski J.K.
    Lobachevskii Journal of Mathematics, 2010, 31 (3) : 222 - 223
  • [42] Spectral Clustering of Signed Graphs via Matrix Power Means
    Mercado, Pedro
    Tudisco, Francesco
    Hein, Matthias
    INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 97, 2019, 97
  • [43] An inequality for finite differences via asymptotics of Riccati matrix difference equations
    Kratz, W
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 1998, 4 (03) : 229 - 246
  • [44] MATRIX INEQUALITIES INCLUDING GRAND FURUTA INEQUALITY VIA KARCHER MEAN
    Ito, Masatoshi
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (02): : 279 - 285
  • [45] Analysis and design of an affine fuzzy system via bilinear matrix inequality
    Kim, E
    Lee, CH
    Cho, YW
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2005, 13 (01) : 115 - 123
  • [46] Impulsive Synchronization of Chaotic Systems via Linear Matrix Inequality Approach
    Chu, Cheng-Feng
    Lin, Jui-Sheng
    Hung, Meei-Ling
    Liao, Teh-Lu
    Hou, Yi-You
    2009 IEEE INTERNATIONAL CONFERENCE ON NETWORKING, SENSING AND CONTROL, VOLS 1 AND 2, 2009, : 81 - +
  • [47] Kinematic analysis of mechanisms via a velocity equation based in a geometric matrix
    Hernández, A
    Altuzarra, O
    Avilés, R
    Petuya, V
    MECHANISM AND MACHINE THEORY, 2003, 38 (12) : 1413 - 1429
  • [48] Interpretation of generalized matrix functions via geometric measure of quantum entanglement
    Chang, Haixia
    Paksoy, Vehbi E.
    Zhang, Fuzhen
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2015, 13 (07)
  • [49] A linear matrix inequality approach to robust H-infinity filtering
    Li, HZ
    Fu, MY
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1997, 45 (09) : 2338 - 2350
  • [50] A linear matrix inequality approach to parametric H∞ loop shaping control
    Patra, S.
    Sen, S.
    Ray, G.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (08): : 1832 - 1846
12345