Results 41 to 50 of about 2,339 (216)
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 and Spread of the Fibonacci and Lucas RSFMLR Circulant Matrices
Abstract and Applied Analysis, 2015 Circulant type matrices have played an important role in networks engineering. In this paper, firstly, some bounds for the norms and spread of Fibonacci row skew first-minus-last right (RSFMLR) circulant matrices and Lucas row skew first-minus-last right
Wenai Xu, Zhaolin Jiang
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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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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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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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Circulant weighing matrices [PDF]
, 2017 Circulant weighing matrices are matrices with entries in {-1,0,1} where the rows are pairwise orthogonal and each successive row is obtained from the previous row by a fixed cyclic permutation. They are useful in solving problems where it is necessary
Hain, Richard Martin
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The inverses of some circulant matrices [PDF]
Applied Mathematics and Computation, 2015 We present here necessary and su cient conditions for the invertibility of circulant and symmetric matrices that depend on three parameters and moreover, we explicitly compute the inverse. The techniques we use are related with the solution of boundary value problems associated to second order linear di erence equations.
Carmona Mejías, Ángeles +4 more
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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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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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