Results 61 to 70 of about 259,092 (193)
Mathematics, 2019 Foeplitz and Loeplitz matrices are Toeplitz matrices with entries being Fibonacci and Lucas numbers, respectively. In this paper, explicit expressions of determinants and inverse matrices of Foeplitz and Loeplitz matrices are studied.
Zhaolin Jiang +4 more
doaj +1 more source
Geometry of essential matrix ranges and the Smith–Ward problem for operator systems
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract A d$d$‐tuple of bounded linear selfadjoint operators acting on an infinite‐dimensional separable Hilbert space is said to have the Smith–Ward property if the identity map of the image of the operator system in the Calkin algebra has a completely positive lift.
Douglas Farenick +2 more
wiley +1 more source
Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions [PDF]
, 2015 We consider polynomials P_n orthogonal with respect to the weight J_? on [0,?), where J_? is the Bessel function of order ?. Asheim and Huybrechs considered these polynomials in connection with complex Gaussian quadrature for oscillatory integrals.
Deaño Cabrera, Alfredo +5 more
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On Matrix‐Based Cryptography Using Matrix Norm and Special Integer Sequences
Mathematische Nachrichten, Volume 299, Issue 8, Page 2087-2102, August 2026.ABSTRACT In this paper, a novel matrix‐based encryption approach based on the Affine Hill cipher is presented. The key matrix is constructed using the Narayana integer sequence, and the Frobenius norm of the key matrix is used as a scaling factor in the key construction.
Melih Göcen +1 more
wiley +1 more source
An upper bound to the second Hankel determinant for pre-starlike functions of order α
Le Matematiche, 2015 The objective of this paper is to obtain an upper bound to the second Hankel determinant for the function f and its inverse belonging to the class of pre-starlike functions of order alpha (0 ≤ alpha ≤ 1), using Toeplitz determinants.
Deekonda Vamshee Krishna, T. RamReddy
doaj
Математичні СтудіїThe primary object of this paper is to investigate sharp estimate to the Toeplitz determinants of third order for the class of bounded turning functions and fourth order for the class of starlike and convex functions in the open unit disk $\mathbb{D ...
Bareh Winne +2 more
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Bounds on Toeplitz Determinant for Starlike Functions with Respect to Conjugate Points
International Journal of Analysis and Applications, 2021 This paper is concerned with the estimate of the upper bounds of the Toeplitz determinants |T2(3)| and |T3(3)| for functions belonging to the subclass of starlike functions with respect to conjugate points.
Daud Mohamad +1 more
doaj
Toeplitz determinants in one and higher dimensions
Acta Mathematica ScientiaIn this study, we derive the sharp bounds of certain Toeplitz determinants whose entries are the coefficients of holomorphic functions belonging to a class defined on the unit disk $\mathbb{U}$. Further, these results are extended to a class of holomorphic functions on the unit ball in a complex Banach space and on the unit polydisc in $\mathbb{C}^n ...
Giri, Surya, Kumar, S. Sivaprasad
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Asymptotics for Toeplitz determinants: Perturbation of symbols with a gap [PDF]
Journal of Mathematical Physics, 2015 We study the determinants of Toeplitz matrices as the size of the matrices tends to infinity, in the particular case where the symbol has two jump discontinuities and tends to zero on an arc of the unit circle at a sufficiently fast rate. We generalize an asymptotic expansion by Widom [Indiana Univ. Math. J.
Christophe Charlier, Tom Claeys
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A Quantised Push‐Sum Distributed Adaptive Momentum Algorithm for Optimisation Over Directed Networks
CAAI Transactions on Intelligence Technology, Volume 11, Issue 4, Page 1284-1301, August 2026.ABSTRACT In this paper, we investigate a distributed constrained optimisation problem over directed networks. The agents in the networks conduct local computations and communications, endeavouring to collaboratively minimise the aggregation of all locally known convex cost functions subject to a global constraint set.
Qingguo Lü +6 more
wiley +1 more source