Results 11 to 20 of about 831,773 (152)
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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A structure theorem for the polars of unitarily invariant norms [PDF]
Proceedings of the American Mathematical Society, 1985 The unitarily invariant norms of matrices, or operators, are essentially the symmetric norms of their singular values. A subclass of these norms depending upon only a few largest of the singular values is considered, and the polars of these norms are characterized. The result is then used to obtain generalizations of some well-known inequalities.
Mudholkar, Govind S., Freimer, Marshall
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On unitarily invariant norms of matrix-valued linear positive operators
Journal of Inequalities and Applications, 2002 In this paper we prove several inequalities concerning invariant norms of matrices belonging to the range of some matrix-valued Linear Positive Operator (LPO).
Tilli Paolo, Capizzano Stefano Serra
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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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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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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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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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Local Lidskii's theorems for unitarily invariant norms [PDF]
Linear Algebra and its Applications, 2018 arXiv admin note: text overlap with arXiv:1610 ...
Massey, Pedro Gustavo +2 more
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Journal of Inequalities and Applications, 2020 In this article, we show unitarily invariant norm inequalities for sector 2 × 2 $2\times 2$ block matrices which extend and refine some recent results of Bourahli, Hirzallah, and Kittaneh (Positivity, 2020, https://doi.org/10.1007/s11117-020-00770-w ).
Xiaoying Zhou
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