Results 51 to 60 of about 581 (209)
On some inequalities for unitarily invariant norms [PDF]
Journal of Mathematical Inequalities, 2013 In this paper, we present several inequalities for unitarily invariant norms by using the convexity of the function g(r )= A r XB 2−r +A 2−r XB r on the interval (0,2). Our results are refinements of some existing inequalities.
Xiaohui Fu, Chuanjiang He
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Volume ratio, sparsity, and minimaxity under unitarily invariant norms [PDF]
2013 IEEE International Symposium on Information Theory, 2013 The current paper presents a novel machinery for studying non-asymptotic minimax estimation of high-dimensional matrices, which yields tight minimax rates for a large collection of loss functions in a variety of problems. Based on the convex geometry of finite-dimensional Banach spaces, we first develop a volume ratio approach for determining minimax ...
Zongming Ma, Yihong Wu 0001
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Some inequalities for unitarily invariant norms [PDF]
Journal of Mathematical Inequalities, 2012 This paper aims to present some inequalities for unitarily invariant norms. In section 2, we give a refinement of the Cauchy-Schwarz inequality for matrices. In section 3, we obtain an improvement for the result of Bhatia and Kittaneh (Linear Algebra Appl. 308 (2000) 203-211).
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A note on the arithmetic-geometric mean inequality for every unitarily invariant matrix norm
, 1994 We integrate ten unitarily invariant matrix norm inequalities equivalent to the Heinz ...
Furuta, Takayuki
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Another unitarily invariant norm attaining the minimum norm bound for commutators
, 2010 Böttcher and Wenzel recently proved that for any unitarily invariant norm ‖·‖, sup‖XY-YX‖‖X‖‖Y‖:XandYaren×nnon-zero complex matrices=C⩾2 and that C=2 when the norm is the Frobenius norm.
Lok, Io-Kei +5 more
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Schur-multiplicative maps preserving unitarily invariant norms
, 2008 Characterizations are obtained for maps on real or complex matrices which preserve both the Schur (Hadamard) product and a given unitarily invariant ...
Poon, Edward
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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) +1 more
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Systems Thinking for T‐Shaped Sustainability Education: A Viable Systems Approach (vSa)
Systems Research and Behavioral Science, EarlyView.ABSTRACT Sustainability represents a complex and evolving paradigm calling for competences necessary for a deep understanding of the interdependencies among human, environmental, economic, and cultural dimensions. Along with a review of the literature and an analysis of official guidelines from leading international institutions, this study assesses ...
Marialuisa Saviano +4 more
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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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Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 7975-8005, 30 May 2026.ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
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