Results 11 to 20 of about 302 (56)
A numerical algorithm for computing the inverse of a Toeplitz pentadiagonal matrix
Journal of Applied Mathematics and Computational Mechanics, 2018 In the current paper, we present a computationally efficient algorithm for obtaining the inverse of a pentadiogonal toeplitz matrix. Few conditions are required, and the algorithm is suited for implementation using computer algebra systems.
B. Talibi, A. Hadj, D. Sarsri
semanticscholar +1 more source
A constructive arbitrary-degree Kronecker product decomposition of tensors [PDF]
, 2016 We propose the tensor Kronecker product singular value decomposition~(TKPSVD) that decomposes a real $k$-way tensor $\mathcal{A}$ into a linear combination of tensor Kronecker products with an arbitrary number of $d$ factors $\mathcal{A} = \sum_{j=1}^R ...
Batselier, Kim, Wong, Ngai
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On $k$-circulant matrices involving the Fibonacci numbers
, 2018 Let k be a nonzero complex number. In this paper we consider a k-circulant matrix whose first row is .F1;F2; : : : ;Fn/, where Fn is the nth Fibonacci number, and investigate the eigenvalues and Euclidean (or Frobenius) norm of that matrix.
Biljana Radičić
semanticscholar +1 more source
A mini-max problem for self-adjoint Toeplitz matrices [PDF]
, 2011 We study a minimum problem and associated maximum problem for finite, complex, self-adjoint Toeplitz matrices. If $A$ is such a matrix, of size $(N+1)$-by-$(N+1)$, we identify $A$ with the operator it represents on $P_N$, the space of complex polynomials
Courtney, Dennis, Sarason, Donald
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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
doaj +1 more source
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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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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Symmetric, Hankel-symmetric, and Centrosymmetric Doubly Stochastic Matrices [PDF]
, 2017 We investigate convex polytopes of doubly stochastic matrices having special structures: symmetric, Hankel symmetric, centrosymmetric, and both symmetric and Hankel symmetric.
Brualdi, Richard R., Cao, Lei
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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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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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