Results 11 to 20 of about 579,350 (178)
Graph rigidity for unitarily invariant matrix norms [PDF]
Journal of Mathematical Analysis and Applications, 2020 A rigidity theory is developed for bar-joint frameworks in linear matrix spaces endowed with a unitarily invariant norm. Analogues of Maxwell's counting criteria are obtained and minimally rigid matrix frameworks are shown to belong to the matroidal class of (k,l)-sparse graphs for suitable k and l.
Kitson, Derek, Levene, Rupert H.
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Isometries for unitarily invariant norms [PDF]
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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Unitarily invariant norm inequalities for operators [PDF]
Journal of the Egyptian Mathematical Society, 2012 10 pages, Accepted ...
Erfanian Omidvar, M. +2 more
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Submultiplicativity vs subadditivity for unitarily invariant norms [PDF]
Linear Algebra and its Applications, 2004 The authors prove that if \(A\) and \(B\) are two \(n\)-by-\(n\) nonzero positive semidefinite matrices and \(\|\cdot\|\) is a unitarily invariant norm on matrices satisfying \(\|\text{diag}(1,0,\dots, 0)\|\geq 1\), then the inequalities \[ {\| AB\|\over\| A\|\,\| B\|}\leq {\| A+ B\|\over\| A\|+\| B\|}\quad\text{and}\quad {\| A\circ B\|\over \| A\|\,\|
Hiai, Fumio, Zhan, Xingzhi
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Some inequalities for unitarily invariant norm [PDF]
Linear Algebra and its Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matharu, Jagjit Singh +1 more
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Positivity of partitioned Hermitian matrices with unitarily invariant norms [PDF]
Positivity, 2014 6 ...
Li, Chi Kwong, Zhang, Fuzhen
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Matrix semigroups determined by unitarily invariant norms [PDF]
Linear Algebra and its Applications, 1974 AbstractThe purpose of this paper is to study the structure of the matrix semigroups defined by unitarily invariant norms and, equivalently, those defined by arbitrary ellipsoidal norms. Among other things it is found that when an element of such a semigroup has a semi-inverse, the semi-inverse is unique, and, in the case of unitarily invariant norms ...
Webber, Robert P.
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Faces of the unit ball of a unitarily invariant norm [PDF]
Linear Algebra and its Applications, 1994 See the review of the author's paper [ibid. 197-198, 429-450 (1994; Zbl 0808.15015)].
de Sá, Eduardo Marques
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A class of unitarily invariant norms on 𝐵(𝐻) [PDF]
Proceedings of the American Mathematical Society, 2000 Let H H be a complex Hilbert space and let
Chan, JT, Tu, CCN, Li, CK
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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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