Results 21 to 30 of about 1,099 (125)
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
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Bounds for the Z-eigenpair of general nonnegative tensors
Open Mathematics, 2016 In this paper, we consider the Z-eigenpair of a tensor. A lower bound and an upper bound for the Z-spectral radius of a weakly symmetric nonnegative irreducible tensor are presented.
Liu Qilong, Li Yaotang
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A counterexample to a question of Bapat & Sunder
, 2018 The objective of this article is to provide a counterexample to a question of Bapat and Sunder concerning the relative magnitudes of the permanent of a positive semidefinite matrix and the largest eigenvalue of a related matrix.
S. Drury
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A real counterexample to two inequalities involving permanents
, 2017 The objective of this article is to provide a counterexample to the permanent version of Oppenheim’s inequality using real symmetric matrices. This also provides a countereample to the permanent on top conjecture for real symmetric positive semidefinite ...
S. Drury
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On the reverse Young and Heinz inequalities
, 2017 In this paper, we study further improvements of the reverse Young and Heinz inequalities for positive real numbers. We use these modified inequalities to obtain corresponding operator inequalities and matrix inequalities on the Hilbert–Schmidt norm ...
M. Ghaemi +2 more
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Determinants and Inverses of Ppoeplitz and Ppankel matrices
Special Matrices, 2018 In this paper, we consider two kinds of special matrices, which are called Ppoeplitz matrix and Ppankel matrix. The idea of matrix transformation is used to compute the determinants and inverses of the Ppoeplitz matrix and the Ppankel matrix.
Zuo Baishuai, Jiang Zhaolin, Fu Deqian
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Diagonal dominance and invertibility of matrices
Special Matrices, 2023 A weakly diagonally dominant matrix may or may not be invertible. We characterize, in terms of combinatorial structure and sign pattern when such a matrix is invertible, which is the common case. Examples are given.
Johnson Charles Royal +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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Two types of hypergeometric degenerate Cauchy numbers
Open Mathematics, 2020 In 1985, Howard introduced degenerate Cauchy polynomials together with degenerate Bernoulli polynomials. His degenerate Bernoulli polynomials have been studied by many authors, but his degenerate Cauchy polynomials have been forgotten.
Komatsu Takao
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The bipartite Laplacian matrix of a nonsingular tree
Special Matrices, 2023 For a bipartite graph, the complete adjacency matrix is not necessary to display its adjacency information. In 1985, Godsil used a smaller size matrix to represent this, known as the bipartite adjacency matrix.
Bapat Ravindra B. +2 more
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