Results 21 to 30 of about 1,268 (93)
Circulant matrices: norm, powers, and positivity [PDF]
, 2018 In their recent paper "The spectral norm of a Horadam circulant matrix", Merikoski, Haukkanen, Mattila and Tossavainen study under which conditions the spectral norm of a general real circulant matrix ${\bf C}$ equals the modulus of its row/column sum ...
Lindner, Marko
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On accuracy of approximation of the spectral radius by the Gelfand formula [PDF]
, 2009 The famous Gelfand formula $\rho(A)= \limsup_{n\to\infty}\|A^{n}\|^{1/n}$ for the spectral radius of a matrix is of great importance in various mathematical constructions.
Kozyakin, Victor
core +3 more sources
Numerical radius inequalities of operator matrices with applications
, 2020 We present upper and lower bounds for the numerical radius of $2 \times 2$ operator matrices which improves on the existing bound for the same.
Bag, Santanu +2 more
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Bounds for the zeros of unilateral octonionic polynomials
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In the present work it is proved that the zeros of a unilateral octonionic polynomial belong to the conjugacy classes of the latent roots of an appropriate lambda-matrix.
Serôdio Rogério +2 more
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Subdifferential of the joint numerical radius [PDF]
arXiv, 2022 An expression for the subdifferential of the joint numerical radius is obtained. Its applications to the best approximation problems in the joint numerical radius are discussed.
arxiv
Eigenvalue extensions of Bohr's inequality [PDF]
, 2011 We present a weak majorization inequality and apply it to prove eigenvalue and unitarily invariant norm extensions of a version of the Bohr's inequality due to Vasi\'c and Ke\v{c}ki\'c.Comment: 8 pages, to appear in Linear Algebra ...
Jagjit Singh Matharu +3 more
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Some Hermite-Hadamard type inequalities for operator convex functions and positive maps
Special Matrices, 2019 In this paper we establish some inequalities of Hermite-Hadamard type for operator convex functions and positive maps. Applications for power function and logarithm are also provided.
Dragomir S. S.
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H∞ interpolation constrained by Beurling–Sobolev norms
Moroccan Journal of Pure and Applied Analysis, 2023 We consider a Nevanlinna–Pick interpolation problem on finite sequences of the unit disc, constrained by Beurling–Sobolev norms. We find sharp asymptotics of the corresponding interpolation quantities, thereby improving the known estimates. On our way we
Baranov Anton, Zarouf Rachid
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Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality
Special Matrices, 2018 In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.
Dragomir S. S.
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Prime filters of hyperlattices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 The purpose of this paper is the study of prime ideals and prime filters in hyperlattices. I-filter and the filter generated by a ∈ L are introduced. Moreover, we introduce dual distributive hyperlattices, and I-filter in dual distributive hyperlattices.
Ameri Reza +3 more
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