Results 11 to 20 of about 31 (31)
On the condition number of the Vandermonde matrix of the nth cyclotomic polynomial
Journal of Mathematical Cryptology, 2020 Recently, Blanco-Chacón proved the equivalence between the Ring Learning With Errors and Polynomial Learning With Errors problems for some families of cyclotomic number fields by giving some upper bounds for the condition number Cond(Vn) of the ...
Scala Antonio J. Di +2 more
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Determinant of binary circulant matrices
Special Matrices, 2019 This article gives a closed-form expression for the determinant of binary circulant matrices.
Hariprasad M.
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Forum of Mathematics, Sigma, 2019 We consider the spectrum of additive, polynomially vanishing random perturbations of deterministic matrices, as follows. Let $M_{N}$ be a deterministic $N\times N$ matrix, and let $G_{N}$ be a complex Ginibre matrix.
ANIRBAN BASAK +2 more
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The reciprocal super Catalan matrix
Special Matrices, 2015 The reciprocal super Catalan matrix has entries . Explicit formulæ for its LU-decomposition, the LU-decomposition of its inverse, and some related matrices are obtained. For all results, q-analogues are also presented.
Prodinger Helmut
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A variant of the reciprocal super Catalan matrix
Special Matrices, 2015 Recently Prodinger [8] considered the reciprocal super Catalan matrix and gave explicit formulæ for its LU-decomposition, the LU-decomposition of its inverse, and obtained some related matrices. For all results, q-analogues were also presented.
Kılıç Emrah +2 more
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Determinants of Toeplitz–Hessenberg Matrices with Generalized Leonardo Number Entries
Annales Mathematicae SilesianaeLet un = un(k) denote the generalized Leonardo number defined recursively by un = un−1 + un−2 + k for n ≥ 2, where u0 = u1 = 1. Terms of the sequence un(1) are referred to simply as Leonardo numbers.
Goy Taras, Shattuck Mark
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Unitary automorphisms of the space of Toeplitz-plus-Hankel matrices
Special Matrices, 2015 Our motivation was a paper of 1991 indicating three special unitary matrices that map Hermitian Toeplitz matrices by similarity into real Toeplitz-plus-Hankel matrices.
Abdikalykov A.K. +2 more
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A Family of Maximal Algebras of Block Toeplitz Matrices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 The maximal commutative subalgebras containing only Toeplitz matrices have been identified as generalized circulants. A similar simple description cannot be obtained for block Toeplitz matrices.
Khan Muhammad Ahsan
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Some Determinants Involving Incomplete Fubini Numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 We study some properties of restricted and associated Fubini numbers. In particular, they have the natural extensions of the original Fubini numbers in the sense of determinants.
Komatsu Takao, Ramírez José L.
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On the spectrum of tridiagonal matrices with two-periodic main diagonal
Special MatricesWe find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main ...
Dyachenko Alexander, Tyaglov Mikhail
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