Results 21 to 30 of about 19,389 (202)
Some inequalities for unitarily invariant norms [PDF]
Operators and Matrices, 2014 In this note, we use the convexity of the function φ(v) to sharpen the matrix version of the Heinz means, where φ(v) is defined as φ(v) = ‖AvXB1−v + A1−vXBv‖ on [0,1] for A,B,X ∈ Mn such that A and B are positive semidefinite, and also give a refinement of the inequality [Theorem 6, SIAM J. Matrix Anal. Appl.
Junliang Wu, Jianguo Zhao
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Norm inequalities related to the Heinz means
Journal of Inequalities and Applications, 2018 Let (I,|||⋅|||) $(I,|\!|\!|\cdot|\!|\!|)$ be a two-sided ideal of operators equipped with a unitarily invariant norm |||⋅||| $|\!|\!| \cdot|\!|\!|$. We generalize the results of Kapil’s, using a new contractive map in I to obtain a norm inequality.
Fugen Gao, Xuedi Ma
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Inequalities for partial determinants of accretive block matrices
Journal of Inequalities and Applications, 2023 Let A = [ A i , j ] i , j = 1 m ∈ M m ( M n ) $A=[A_{i,j}]^{m}_{i,j=1}\in \mathbf{M}_{m}(\mathbf{M}_{n})$ be an accretive block matrix. We write det1 and det2 for the first and second partial determinants, respectively.
Xiaohui Fu +2 more
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Isometries for unitarily invariant norms
Linear Algebra and its Applications, 2005 After a brief survey of results and proof techniques in the study of isometries for unitarily invariant norms on real and complex rectangular matrices, the paper presents a characterization of a class of linear isometries without the linearity assumption.
Chan, JT, Sze, NS, Li, CK
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Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices
Abstract and Applied Analysis, 2015 Circulant, block circulant-type matrices and operator norms have become effective tools in solving networked systems. In this paper, the block imaginary circulant operator matrices are discussed.
Xiaoyu Jiang, Kicheon Hong
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, 2020 Let B be a multiplicative perturbation of A ∈ Cm×n given by B = D∗ 1AD2, where D1 ∈ Cm×m and D2 ∈ Cn×n are both nonsingular. New upper bounds for ∥B† −A∥U and ∥B† −A∥Q are derived, where A†, B† are the Moore-Penrose inverses of A and B, and ∥ · ∥U , ∥ · ∥
Juan Luo
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Unitarily invariant norm inequalities for accretive–dissipative operator matrices
Journal of Mathematical Analysis and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yun Zhang
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The interpolation of Young’s inequality using dyadics
Journal of Inequalities and Applications, 2019 In this article we interpolate Young’s inequality using a delicate treatment of dyadics. Although there are other simple methods to prove these results, we present this new approach hoping to reveal more of the hidden properties of such inequalities.
Mohammad Sababheh, Abdelrahman Yousef
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Some inequalities involving unitarily invariant norms [PDF]
Mathematical Inequalities & Applications, 2012 This paper aims to present some inequalities for unitarily invariant norms. We first give inverses of Young and Heinz type inequalities for scalars. Then we use these inequalities to establish some inequalities for unitarily invariant norms. Mathematics subject classification (2010): 15A45, 15A60.
Chuanjiang He, Limin Zou
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Consistency of the total least squares estimator in the linear errors-in-variables regression
Modern Stochastics: Theory and Applications, 2018 This paper deals with a homoskedastic errors-in-variables linear regression model and properties of the total least squares (TLS) estimator. We partly revise the consistency results for the TLS estimator previously obtained by the author [18]. We present
Sergiy Shklyar
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