Results 1 to 10 of about 438 (69)
On the spectral and Frobenius norm of a generalized Fibonacci r-circulant matrix
Special Matrices, 2018 Consider the recursion g0 = a, g1 = b, gn = gn−1 + gn−2, n = 2, 3, . . . . We compute the Frobenius norm of the r-circulant matrix corresponding to g0, . . . , gn−1. We also give three lower bounds (with equality conditions) for the spectral norm of this
Merikoski Jorma K. +3 more
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Schur multiplier operator and matrix inequalities [PDF]
Journal of Mahani Mathematical Research, 2023 In this note we obtain a reverse version of the Haagerup Theorem. In particular, if $ A \in \mathbb{M}_{n}$ has a $ 2\times2- $ principal submatrix as $ \left[ \begin{array}{cc}1& \alpha \\\beta & 1\\\end{array}\right]$ with $ \beta \neq \bar{\alpha ...
Alemeh Sheikhhosseini
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Spectral proximal method for solving large scale sparse optimization [PDF]
ITM Web of Conferences, 2021 In this paper, we propose to use spectral proximal method to solve sparse optimization problems. Sparse optimization refers to an optimization problem involving the ι0 -norm in objective or constraints.
Woo Gillian Yi Han +3 more
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IEEE Access, 2021 The resolution related with the image quality of acoustic imaging using a microphone array is limited by the size and density of the array. However, non-synchronous measurements can exceed the constraints defined by measurements with a single fixed array.
Liang Yu +5 more
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Norm of iegnfunction of one-dimension photonic crystal
Вісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електроніка, 2021 Relevance. In recent decades (about the 90-s ХХ century) there has been rapid development of photonic. Thus, to arise scientific interest to optic range of electromagnetic radiation.
О. V. Kazanko, О. E. Penkina
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One Type of Symmetric Matrix with Harmonic Pell Entries, Its Inversion, Permanents and Some Norms
Mathematics, 2021 The Pell numbers, named after the English diplomat and mathematician John Pell, are studied by many authors. At this work, by inspiring the definition harmonic numbers, we define harmonic Pell numbers.
Seda Yamaç Akbiyik +2 more
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Universal Journal of Mathematics and Applications, 2020 In this study, we obtain upper and lower bounds for the spectral norms of the geometric circulant matrices with the bi--periodic Fibonacci numbers and bi--periodic Lucas numbers, respectively.
Emrah Polatlı
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Journal of Mathematics, 2022 In this paper, we propose and analyze a spectral approximation for the numerical solutions of fractional integro-differential equations with weakly kernels.
Xiulian Shi
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Rooted trees and moments of large sparse random matrices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 In these expository paper we describe the role of the rooted trees as a base for convenient tools in studies ofrandom matrices. Regarding the Wigner ensemble of random matrices, we represent main ingredients ofthis approach.
Oleksiy Khorunzhiy
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Harmonic L2/L1 Norm for Bearing Fault Diagnosis
IEEE Access, 2019 Optimal frequency band selection is a critical step of envelope analysis for bearing fault diagnosis. In order to select the most informative band, it is necessary to define a criterion for frequency band evaluation. Kurtosis is one of such criteria, and
Mingfang Wang +4 more
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