Results 1 to 10 of about 31 (31)
The group inverse of circulant matrices depending on four parameters
Special Matrices, 2021 Explicit expressions for the coefficients of the group inverse of a circulant matrix depending on four complex parameters are analytically derived. The computation of the entries of the group inverse are now reduced to the evaluation of a polynomial ...
Carmona A. +3 more
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Determinants of some Hessenberg matrices with generating functions
Special Matrices, 2022 In this paper, we derive some relationships between the determinants of some special lower Hessenberg matrices whose entries are the terms of certain sequences and the generating functions of these sequences.
Leerawat Utsanee, Daowsud Katthaleeya
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Inverse properties of a class of seven-diagonal (near) Toeplitz matrices
Special Matrices, 2021 This paper presents the explicit inverse of a class of seven-diagonal (near) Toeplitz matrices, which arises in the numerical solutions of nonlinear fourth-order differential equation with a finite difference method.
Kurmanbek Bakytzhan +2 more
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On tridiagonal matrices associated with Jordan blocks
Acta Universitatis Sapientiae: Mathematica, 2022 This paper aims to show how some standard general results can be used to uncover the spectral theory of tridiagonal and related matrices more elegantly and simply than existing approaches.
da Fonseca Carlos M., Kowalenko Victor
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The smallest singular value of certain Toeplitz-related parametric triangular matrices
Special Matrices, 2021 Let L be the infinite lower triangular Toeplitz matrix with first column (µ, a1, a2, ..., ap, a1, ..., ap, ...)T and let D be the infinite diagonal matrix whose entries are 1, 2, 3, . . . Let A := L + D be the sum of these two matrices.
Solary Maryam Shams +2 more
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The p-norm of circulant matrices via Fourier analysis
Concrete Operators, 2022 A recent work derived expressions for the induced p-norm of a special class of circulant matrices A(n, a, b) ∈ ℝn×n, with the diagonal entries equal to a ∈ ℝ and the off-diagonal entries equal to b ≥ 0.
Sahasranand K. R.
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On the spectral properties of real antitridiagonal Hankel matrices
Special Matrices, 2022 In this article, we express the eigenvalues of real antitridiagonal Hankel matrices as the zeros of given rational functions. We still derive eigenvectors for these structured matrices at the expense of prescribed eigenvalues.
Lita da Silva João
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Explicit determinantal formula for a class of banded matrices
Open Mathematics, 2020 In this short note, we provide a brief proof for a recent determinantal formula involving a particular family of banded matrices.
Amanbek Yerlan +5 more
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On the connection between tridiagonal matrices, Chebyshev polynomials, and Fibonacci numbers
Acta Universitatis Sapientiae: Mathematica, 2020 In this note, we recall several connections between the determinant of some tridiagonal matrices and the orthogonal polynomials allowing the relation between Chebyshev polynomials of second kind and Fibonacci numbers.
da Fonseca Carlos M.
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Determinants of binomial-related circulant matrices
Special Matrices, 2018 Due to their rich algebraic structures and wide applications, circulant matrices have been of interest and continuously studied. In this paper, n×n complex left and right circulant matrices whose first row consists of the coefficients in the expansion of
Jantaramas Trairat +2 more
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