Results 11 to 20 of about 55,699 (240)
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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IEEE Photonics Journal, 2022 The existing approach for evaluating the statistical characteristics of speckle intensity distribution is applicable only to completely decorrelated laser beams.
Qiyong Xu +7 more
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Mathematics, 2020 A delayed perturbation of the Mittag-Leffler type matrix function with logarithm is proposed. This combines the classic Mittag–Leffler type matrix function with a logarithm and delayed Mittag–Leffler type matrix function. With the help of this introduced
Nazim Mahmudov, Areen Al-Khateeb
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Matrix inequalities and majorizations around Hermite–Hadamard’s inequality [PDF]
Canadian Mathematical Bulletin, 2022 AbstractWe study the classical Hermite–Hadamard inequality in the matrix setting. This leads to a number of interesting matrix inequalities such as the Schatten p-norm estimates $$ \begin{align*}\left(\|A^q\|_p^p + \|B^q\|_p^p\right)^{1/p} \le \|(xA+(1-x)B)^q\|_p+ \|((1-x)A+xB)^q\|_p, \end{align*} $$ for all positive (semidefinite) $n\times n ...
Bourin, Jean-Christophe, Lee, Eun-Young
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An Under-Sampling Array Signal Processing Method Based on Improved Hadamard Matrix
Applied Sciences, 2022 The compressive sensing method is an effective way of under-sampling array signal processing, and the measurement matrix is a key technology of compressive sensing processing, which is of decisive significance to improve the performance of under-sampling
Tongjing Sun +4 more
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A new hybrid method combining search and direct based construction ideas to generate all 4 × 4 involutory maximum distance separable (MDS) matrices over binary field extensions [PDF]
PeerJ Computer Science, 2023 This article presents a new hybrid method (combining search based methods and direct construction methods) to generate all $4 \times 4$4×4 involutory maximum distance separable (MDS) matrices over $\mathbf{F}_{2^m}$F2m .
Gökhan Tuncay +5 more
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Trades in complex Hadamard matrices [PDF]
, 2015 A trade in a complex Hadamard matrix is a set of entries which can be changed to obtain a different complex Hadamard matrix. We show that in a real Hadamard matrix of order $n$ all trades contain at least $n$ entries.
E.J. Billington +5 more
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On Efficient Constructions of Lightweight MDS Matrices
IACR Transactions on Symmetric Cryptology, 2018 The paper investigates the maximum distance separable (MDS) matrix over the matrix polynomial residue ring. Firstly, by analyzing the minimal polynomials of binary matrices with 1 XOR count and element-matrices with few XOR counts, we present an ...
Lijing Zhou, Licheng Wang, Yiru Sun
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Butson-type complex Hadamard matrices and association schemes on Galois rings of characteristic 4
Special Matrices, 2018 We consider nonsymmetric hermitian complex Hadamard matrices belonging to the Bose-Mesner algebra of commutative nonsymmetric association schemes. First, we give a characterization of the eigenmatrix of a commutative nonsymmetric association scheme of ...
Ikuta Takuya, Munemasa Akihiro
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