Results 1 to 10 of about 10,743 (170)
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
Ahmad Al-Natoor
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Quadratic Forms in Random Matrices with Applications in Spectrum Sensing [PDF]
EntropyQuadratic 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 ...
Daniel Gaetano Riviello +2 more
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Unitarily invariant norm inequalities for some means [PDF]
Journal of Inequalities and Applications, 2014 We introduce some symmetric homogeneous means, and then show unitarily invariant norm inequalities for them, applying the method established by Hiai and Kosaki.
Furuichi, Shigeru
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Lower bounds for the low-rank matrix approximation [PDF]
Journal of Inequalities and Applications, 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
Jicheng Li, Zisheng Liu, Guo Li
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Positivity of Partitioned Hermitian Matrices with Unitarily Invariant Norms [PDF]
Positivity, 2014 We give a short proof of a recent result of Drury on the positivity of a $3\times 3$ matrix of the form $(\|R_i^*R_j\|_{\rm tr})_{1 \le i, j \le 3}$ for any rectangular complex (or real) matrices $R_1, R_2, R_3$ so that the multiplication $R_i^*R_j$ is ...
Li, Chi-Kwong, Zhang, Fuzhen
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Extensions of interpolation between the arithmetic-geometric mean inequality for matrices [PDF]
Journal of Inequalities and Applications, 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
Mojtaba Bakherad +2 more
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Some results of Heron mean and Young’s inequalities [PDF]
Journal of Inequalities and Applications, 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.
Changsen Yang, Yonghui Ren
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Some inequalities for unitarily invariant norms of matrices [PDF]
Journal of Inequalities and Applications, 2011 This article aims to discuss inequalities involving unitarily invariant norms. We obtain a refinement of the inequality shown by Zhan. Meanwhile, we give an improvement of the inequality presented by Bhatia and Kittaneh for the Hilbert-Schmidt norm ...
Wang Shaoheng, Zou Limin, Jiang Youyi
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Unitarily invariant norms on operators
Acta Scientiarum Mathematicarum, 2022 Let $f$ be a symmetric norm on ${\mathbb R}^n$ and let ${\mathcal B}({\mathcal H})$ be the set of all bounded linear operators on a Hilbert space ${\mathcal H}$ of dimension at least $n$. Define a norm on ${\mathcal B}({\mathcal H})$ by $\|A\|_f = f(s_1(A), \dots, s_n(A))$, where $s_k(A) = \inf\{\|A-X\|: X\in {\mathcal B}({\mathcal H}) \hbox{ has rank ...
Chan, Jor-Ting, Li, Chi-Kwong
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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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