Results 1 to 10 of about 302 (56)
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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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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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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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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Determinants of the RSFPLR Circulant Matrices with the Jacobsthal Numbers
, 2020 In this paper, we study a special type of circulant matrices involving the Jacobsthal and Jacobsthal-Lucas numbers. We mainly calculate the determinant of these matrices using inverse factorization of polynomials. 2010 Mathematics Subject Classification:
Xi-you Cui, N. Jiang
semanticscholar +1 more source
Circulant matrices: norm, powers, and positivity [PDF]
, 2018 In their recent paper "The spectral norm of a Horadam circulant matrix", Merikoski, Haukkanen, Mattila and Tossavainen study under which conditions the spectral norm of a general real circulant matrix ${\bf C}$ equals the modulus of its row/column sum ...
Lindner, Marko
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Subresultants in multiple roots: an extremal case [PDF]
, 2017 We provide explicit formulae for the coefficients of the order-d polynomial subresultant of (x-\alpha)^m and (x-\beta)^n with respect to the set of Bernstein polynomials \{(x-\alpha)^j(x-\beta)^{d-j}, \, 0\le j\le d\}.
A. Bostan +29 more
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