Results 31 to 40 of about 2,339 (216)
Convolutional compressed sensing using deterministic sequences [PDF]
, 2012 This is the author's accepted manuscript (with working title "Semi-universal convolutional compressed sensing using (nearly) perfect sequences"). The final published article is available from the link below. Copyright @ 2012 IEEE.
Cong Ling +4 more
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Approximating Inverse of Toeplitz Matrices by Circulant Matrices [PDF]
Methods and Applications of Analysis, 2004 To a continuous complex-valued function \(A\) on the complex unit circle, one can associate a sequence \(\{T_n(a)\}_{n=1}^\infty\) of Toeplitz matrices and a sequence \(\{C_n(a)\}_{n=1}^\infty\) of circulant matrices. In the paper under review, the authors consider the problem of estimating the difference \(T_n^{-1}(a)-C_n^{-1}(a)\) in some sense. They
Bottcher, A. +2 more
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Circulant Type Matrices with the Sum and Product of Fibonacci and Lucas Numbers
Abstract and Applied Analysis, 2014 Circulant type matrices have become an important tool in solving differential equations. In this paper, we consider circulant type matrices, including the circulant and left circulant and g-circulant matrices with the sum and product of Fibonacci and ...
Zhaolin Jiang, Yanpeng Gong, Yun Gao
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Determinants of some special matrices over commutative finite chain rings
Special Matrices, 2020 Circulant matrices over finite fields and over commutative finite chain rings have been of interest due to their nice algebraic structures and wide applications. In many cases, such matrices over rings have a closed connection with diagonal matrices over
Jitman Somphong
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On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions
Journal of Mathematics, 2021 In this paper, based on combinatorial methods and the structure of RFMLR-circulant matrices, we study the spectral norms of RFMLR-circulant matrices involving exponential forms and trigonometric functions.
Baijuan Shi
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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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Fourier and Circulant Matrices are Not Rigid
Electron. Colloquium Comput. Complex., 2019 The concept of matrix rigidity was first introduced by Valiant in 1977. Roughly speaking, a matrix is rigid if its rank cannot be reduced significantly by changing a small number of entries. There has been extensive interest in rigid matrices as Valiant showed in his MFCS'77 paper that rigidity can be used to prove arithmetic circuit lower bounds. In a
Dvir, Zeev, Liu, Allen
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Journal of Applied Mathematics, 2014 We consider the skew circulant and skew left circulant matrices with any continuous Lucas numbers. Firstly, we discuss the invertibility of the skew circulant matrices and present the determinant and the inverse matrices by constructing the ...
Jin-jiang Yao, Zhao-lin Jiang
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An Algorithm for the Permanent of Circulant Matrices [PDF]
Canadian Mathematical Bulletin, 1977 The permanent of an n ✕ n matrix A = (aij) is the matrix function1where the summation is over all permutations in the symmetric group, Sn. An n ✕ n matrix A is a circulant if there are scalars a1 …, an such that2where P is the n ✕ n permutation matrix corresponding to the cycle (12 … n) in Sn.
Cummings, Larry J, Seberry, Jennifer
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Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers
Abstract and Applied Analysis, 2014 Circulant matrix family is used for modeling many problems arising in solving various differential equations. The RSFPLR circulant matrices and RSLPFL circulant matrices are two special circulant matrices.
Xiaoyu Jiang, Kicheon Hong
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