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Analyzing Chebyshev polynomial-based geometric circulant matrices
This paper explores geometric circulant matrices whose entries are Chebyshev polynomials of the first or second kind. Motivated by our previous research on circulant matrices and Chebyshev polynomials, we focus on calculating the Frobenius norm and ...
Pešović, Marko, Pucanović, Zoran
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Generalized circulant Strang-type preconditioners
, 2011 Strang's proposal to use a circulant preconditioner for linear systems of equations with a Hermitian positive definite Toeplitz matrix has given rise to considerable research on circulant preconditioners.
NOSCHESE, Silvia +2 more
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Eigenvectors of block circulant and alternating circulant matrices,” Res [PDF]
, 2005 . The eigenvectors and eigenvalues of symmetric block circulant ma-trices had been found, and that method is extended to general block circulant matrices. That analysis is applied to Stephen J.
Garry J. Tee, Tee, Garry J.
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Bazı özel sayı dizileri ile ilişkili circulant matrislerin özellikleri
Bu tezde Fibonacci ve Leonardo polinomlarının bir kısmı literatürde var olan tanım ve özelliklerine yer verildi. Fibonacci ve Leonardo polinomları arasındaki ili¸ski verildi.
RÜÇHAN BICAK
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A Fast GPU Algorithm for the Inverse of a Circulant Matrix
, 2011 Circulant matrix is a special case of Toeplitz matrix, which is widely used in many domains of specialization, especially in image and digital signal processing. Calculating the inverse of this category of matrices consists of the following three steps: (
Rui Xia Zhang, Zuo Yong Zheng
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AGGREGATED CIRCULANT MATRIX BASED LDPC CODES
, 2008 This paper presents a variation of circulant matrix based LDPC codes which allows more than one circulant identity matrix in one submatrix. The aggregated LDPC supports higher decoding throughput with small increase in datapath complexity.
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Circulant and skew-circulant splitting methods for Toeplitz systems
, 2003 We study efficient iterative methods for Toeplitz systems based on the circulant and skew-circulant splitting (CSCS) of the Toeplitz matrix. Theoretical analysis show that if the circulant and the skew-circulant splitting matrices are positive definite ...
Ng, Michael K.
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Skew-Circulant-Matrix-Based Harmonic-Canceling Synthesizer for BIST Applications. [PDF]
Sensors (Basel), 2022 Garayar-Leyva GG +3 more
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Best Conditioned Circulant Preconditioners
, 1992 In this paper, we discuss the solutions to a class of Hermitian positive definite system Ax = b by the preconditioned conjugate gradient method with circulant preconditioner C.
Raymond H. Chan, C.K. Wong
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Level Compressibility of Certain Random Unitary Matrices. [PDF]
Entropy (Basel), 2022 Bogomolny E.
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