Results 11 to 20 of about 161 (88)

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, Lihong Hu, Abdul Haseeb Salarzay   +2 more
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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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New proofs on two recent inequalities for unitarily invariant norms

Journal of Inequalities and Applications, 2020
In this short note, we provide alternative proofs for several recent results due to Audenaert (Oper. Matrices 9:475–479, 2015) and Zou (J. Math. Inequal. 10:1119–1122, 2016; Linear Algebra Appl. 552:154–162, 2019).
Junjian Yang, Linzhang Lu
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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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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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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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Optimal characteristics of a canonical correlation variable under unitarily invariant norm(典则相关变量的酉不变模最优性)

Zhejiang Daxue xuebao. Lixue ban, 2002
典则相关变量的优良性质可以用一些极值来描述.在酉不变模意义下,得出了典则相关变量的一个极大值定理和一个极小值定理.其结果说明典则相关变量在更一般意义下具有最优性质.
ZHANGGuo-fen(张帼奋), LINChun-tu(林春土)   +1 more
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Operator Monotone Functions and Convexity of Its Derivatives Norms

پژوهش‌های ریاضی, 2021
Introduction  Given the important role convex and quasi-convex functions play in many areas of mathematics and especially in optimization, one of the inequalities that has attracted the attention of many mathematicians in recent decades is Hermit ...
Zahra Rahimi Chegeni, amir ghasem ghazanfari, Kamal Falahi   +2 more
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Perturbation bounds of {1,3}-and {1,4}- inverses under the unitarily invariant norm(酉不变范数下{1，3}-和{1，4}-逆的扰动界)

Zhejiang Daxue xuebao. Lixue ban, 2018
MENG等给出了 {1，3}-和{1，4}-逆在谱范数和Frobenius范数下的加法和乘法扰动界，本文研究了 {1，3}-和{1,4}-逆在一般的酉不变范数下的加法和乘法扰动界，所得结果推广和改进了已有文献中的相关结果.
MENGLingsheng(孟令胜)
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Singular value inequalities for generalized anticommutators

Journal of Inequalities and Applications
We shown among other inequalities that if A 1 $A_{1}$ , B 1 $B_{1}$ , X 1 $X_{1}$ , and Y 1 $Y_{1}$ are n × n $n\times n$ complex matrices such that A 1 $A_{1}$ and B 1 $B_{1}$ are positive semidefinite, then s j ( Y 1 A 1 X 1 − X 1 B 1 Y 1 ) ≤ s j ( Z ⊕
Manal Al-Labadi, Raja’a Al-Naimi, Wasim Audeh   +2 more
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