Results 1 to 10 of about 83,231 (147)
Quantum LDPC Codes Based on Cocyclic Block Matrices [PDF]
Entropy, 2023 Motivated by a family of binary cocyclic block matrices over GF(2), we proposed a construction method to gain the stabilizer of long-length quantum error-correction codes (QECCs).
Yuan Li, Ying Guo
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Sparse random block matrices [PDF]
Journal of Physics A: Mathematical and Theoretical, 2022 Abstract The spectral moments of ensembles of sparse random block matrices are analytically evaluated in the limit of large order. The structure of the sparse matrix corresponds to the Erdös–Renyi random graph. The blocks are i.i.d. random matrices of the classical ensembles GOE or GUE. The moments are evaluated for finite or infinite
Giovanni M Cicuta, Mario Pernici
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Exact bounds for (λ,n)–stable 0-1 matrices. [PDF]
Transactions on Combinatorics, 2020 Consider a v × v (0, 1) matrix A with exactly k ones in each row and each column. A is (λ, n)–stable, if it does not contain any λ × n submatrix with exactly one 0. If A is (λ, n)–stable, λ, n ≥ 2, then under suitable conditions on A, v ≥ k k(n−1)+(λ−2) .
Trevor Bruen
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Block matrices and Guo's index for block circulant matrices with circulant blocks [PDF]
Linear Algebra and its Applications, 2018 In this paper we deal with circulant and partitioned into $n$-by-$n$ circulant blocks matrices and introduce spectral results concerning this class of matrices. The problem of finding lists of complex numbers corresponding to a set of eigenvalues of a nonnegative block matrix with circulant blocks is treated.
Andrade, Enide +3 more
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A particular block Vandermonde matrix [PDF]
ITM Web of Conferences, 2019 The Vandermonde matrix is ubiquitous in mathematics and engineering. Both the Vandermonde matrix and its inverse are often encountered in control theory, in the derivation of numerical formulas, and in systems theory.
Yaici Malika, Hariche Kamel
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Enumeration of weighted paths on a digraph and block hook determinant
Special Matrices, 2021 In this article, we evaluate determinants of “block hook” matrices, which are block matrices consist of hook matrices. In particular, we deduce that the determinant of a block hook matrix factorizes nicely.
Bera Sudip
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Roots of Characteristic Polynomial Sequences in Iterative Block Cyclic Reductions
Mathematics, 2021 The block cyclic reduction method is a finite-step direct method used for solving linear systems with block tridiagonal coefficient matrices. It iteratively uses transformations to reduce the number of non-zero blocks in coefficient matrices.
Masato Shinjo +3 more
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Mathematics, 2020 In this paper, we combine the periodogram method for perturbed block Toeplitz matrices with the Cholesky decomposition to give a parameter estimation method for any perturbed vector autoregressive (VAR) or vector moving average (VMA) process, when we ...
Jesús Gutiérrez-Gutiérrez +2 more
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On Some Matrix Trace Inequalities
Journal of Inequalities and Applications, 2010 We first present an inequality for the Frobenius norm of the Hadamard product of two any square matrices and positive semidefinite matrices. Then, we obtain a trace inequality for products of two positive semidefinite block matrices by using 2×2 ...
Ramazan Türkmen +1 more
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Some Method for Constructing Cycles in a Graph
Современные информационные технологии и IT-образование, 2022 Multidimensional matrices are a powerful tool for solving various fundamental scientific problems and applied scientific and technical problems. As examples of the use of multidimensional matrices in various fields, one can cite the work of the creator ...
Victor Munerman, Daniel Munerman
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