Results 31 to 40 of about 448,655 (204)
Efficient quantum circuits for dense circulant and circulant like operators [PDF]
Royal Society Open Science, 2017 Circulant matrices are an important family of operators, which have a wide range of applications in science and engineering-related fields. They are, in general, non-sparse and non-unitary.
S. S. Zhou, J. B. Wang
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Norms of randomized circulant matrices
Electronic Journal of Probability, 2022 We investigate two-sided bounds for operator norms of random matrices with unhomogenous independent entries. We formulate a lower bound for Rademacher matrices and conjecture that it may be reversed up to a universal constant. We show that our conjecture holds up to $\log\log n$ factor for randomized $n\times n$ circulant matrices and double logarithm ...
Latała, Rafał, Świątkowski, Witold
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On Skew Circulant Type Matrices Involving Any Continuous Fibonacci Numbers
Abstract and Applied Analysis, 2014 Circulant and skew circulant matrices have become an important tool in networks engineering. In this paper, we consider skew circulant type matrices with any continuous Fibonacci numbers.
Zhaolin Jiang, Jinjiang Yao, Fuliang Lu
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Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1970 In this article rows, we introduce a more generalized notion of circulant matıix, namely, q-rows /«circulant matrices. Suppose the ıuatrix is n x n and q is a divisor of n so that the row8 of the matrix can be partitioned into hlocks ofq-rows each.Let each row hlock be obtainened from the precediug one by shifting ali its entıies l places to the right.
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Notices of the American Mathematical Society, 2012 Some mathematical topics, circulant matrices, in particular, are pure gems that cry out to be admired and studied with different techniques or perspectives in mind. Our work on this subject was originally motivated by the apparent need of one of the authors (IK) to derive a specific result, in the spirit of Proposition 24, to be applied in his ...
Irwin Kra, Santiago R. Simanca
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Exact Inverse Matrices of Fermat and Mersenne Circulant Matrix
Abstract and Applied Analysis, 2015 The well known circulant matrices are applied to solve networked systems. In this paper, circulant and left circulant matrices with the Fermat and Mersenne numbers are considered. The nonsingularity of these special matrices is discussed.
Yanpeng Zheng, Sugoog Shon
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Skew Circulant Type Matrices Involving the Sum of Fibonacci and Lucas Numbers
Abstract and Applied Analysis, 2015 Skew circulant and circulant matrices have been an ideal research area and hot issue for solving various differential equations. In this paper, the skew circulant type matrices with the sum of Fibonacci and Lucas numbers are discussed.
Zhaolin Jiang, Yunlan Wei
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Real block-circulant matrices and DCT-DST algorithm for transformer neural network
Frontiers in Applied Mathematics and Statistics, 2023 In the encoding and decoding process of transformer neural networks, a weight matrix-vector multiplication occurs in each multihead attention and feed forward sublayer.
Euis Asriani +4 more
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On circulant thin Lehman matrices [PDF]
Journal of Algebraic Combinatorics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tadashi Sakuma, Hidehiro Shinohara
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Hadamard Matrices with Cocyclic Core
Mathematics, 2021 Since Horadam and de Launey introduced the cocyclic framework on combinatorial designs in the 1990s, it has revealed itself as a powerful technique for looking for (cocyclic) Hadamard matrices.
Víctor Álvarez +5 more
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