Results 1 to 10 of about 19,389 (202)
Unitarily invariant norm inequalities for some means [PDF]
Journal of Inequalities and Applications, 2014 We introduce some symmetric homogeneous means, and then we show unitarily invariant norm inequalities for them, applying the method established by Hiai and Kosaki.
S. Furuichi
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Norm inequalities for functions of matrices. [PDF]
HeliyonIn this paper, we prove several spectral norm and unitarily invariant norm inequalities for matrices in which the special cases of our results present some known inequalities. Also, some of our results give interpolating inequalities which are related to
Al-Natoor A.
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Quadratic Forms in Random Matrices with Applications in Spectrum Sensing. [PDF]
Entropy (Basel)Quadratic forms with random kernel matrices are ubiquitous in applications of multivariate statistics, ranging from signal processing to time series analysis, biomedical systems design, wireless communications performance analysis, and other fields ...
Riviello DG, Alfano G, Garello R.
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Unitarily invariant norm inequalities for matrix means [PDF]
The Journal of Analysis, 2021 The main target of this article is to present several unitarily invariant norm inequalities which are refinements of arithmetic-geometric mean, Heinz and Cauchy-Schwartz inequalities by convexity of some special functions.
Hong-liang Zuo, Fazhen Jiang
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Lower bounds for the low-rank matrix approximation. [PDF]
J Inequal Appl, 2017 Low-rank matrix recovery is an active topic drawing the attention of many researchers. It addresses the problem of approximating the observed data matrix by an unknown low-rank matrix. Suppose that A is a low-rank matrix approximation of D, where D and A
Li J, Liu Z, Li G.
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Extensions of interpolation between the arithmetic-geometric mean inequality for matrices. [PDF]
J Inequal Appl, 2017 In this paper, we present some extensions of interpolation between the arithmetic-geometric means inequality. Among other inequalities, it is shown that if A, B, X are n × n $n\times n$ matrices, then ∥ A X B ∗ ∥ 2 ≤ ∥ f 1 ( A ∗ A ) X g 1 ( B ∗ B ) ∥ ∥ f
Bakherad M +2 more
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Some results of Heron mean and Young's inequalities. [PDF]
J Inequal Appl, 2018 In this paper, we will show some improvements of Heron mean and the refinements of Young’s inequalities for operators and matrices with a different method based on others’ results.
Yang C, Ren Y.
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Generalization of some unitarily invariant norm inequalities for matrices
Journal of Mathematical Inequalities, 2023 . In this paper, we prove new unitarily invariant norm inequalities for positive semidefinite matrices. Some of these inequalities represents a generalization of earlier work due to Kittaneh who re fi nes an inequality due to Davidson and Power which is ...
Ahmad Al-Natoor +3 more
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Some Singular Value Inequalities for Sector Matrices Involving Operator Concave Functions
Journal of Mathematics, 2022 In this paper, we give some singular value inequalities for sector matrices involving operator concave function, which are generalizations of some existing results. Moreover, we present some unitarily invariant norm inequalities for sector matrices.
Chaojun Yang
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Norm inequalities involving a special class of functions for sector matrices
Journal of Inequalities and Applications, 2020 In this paper, we present some unitarily invariant norm inequalities for sector matrices involving a special class of functions. In particular, if Z = ( Z 11 Z 12 Z 21 Z 22 ) is a 2 n × 2 n $2n\times 2n$ matrix such that numerical range of Z is contained
Davood Afraz +2 more
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