Results 41 to 50 of about 480 (210)
The Third-Order Hermitian Toeplitz Determinant for Alpha-Convex Functions [PDF]
, 2021 Sharp lower and upper bounds of the second- and third-order Hermitian Toeplitz determinants for the class of α-convex functions were found. The symmetry properties of the arithmetic mean underlying the definition of α-convexity and the symmetry ...
Anna Dobosz
core +1 more source
Mathematics, 2019 By using a certain general conic domain as well as the quantum (or q-) calculus, here we define and investigate a new subclass of normalized analytic and starlike functions in the open unit disk U .
Hari M. Srivastava +4 more
doaj +1 more source
On block Toeplitz matrices with analytic symbol [PDF]
, 1989 We construct the inverse and give a formula for the determinant of a block Toeplitz matrix generated by an analytic symbol of special ...
Gorodetsky, Michael
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Inverses and Determinants of Toeplitz-Hessenberg Matrices [PDF]
Taiwanese Journal of Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Toeplitz determinants with merging singularities [PDF]
Duke Mathematical Journal, 2015 We study asymptotic behavior for determinants of $n\times n$ Toeplitz matrices corresponding to symbols with two Fisher-Hartwig singularities at the distance $2t\ge0$ from each other on the unit circle.
Claeys, T., Krasovsky, I.
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Hermitian–Toeplitz determinants for certain univalent functions
Analysis and Mathematical Physics, 2023 Sharp upper and lower bounds for the second and third order Hermitian-Toepilitz determinants are obtained for some generalized subclasses of starlike and convex functions. Applications of these results are also discussed for several widely known classes.
Giri, Surya, Kumar, S. Sivaprasad
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Modified Szegö–Widom Asymptotics for Block Toeplitz Matrices with Zero Modes [PDF]
, 2020 The Szegö–Widom theorem provides an expression for the determinant of block Toeplitz matrices in the asymptotic limit of large matrix dimension n. We show that the presence of zero modes, i.e, eigenvalues that vanish as
Dubail, J. +3 more
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Eigenvalues of 2-tridiagonal Toeplitz matrix [PDF]
, 2015 In this article an explicit formula for eigenvalues of a 2-tridiagonal Toeplitz matrix can be derived on the basis of a certain relation between the determinant of this matrix and the determinant of a pertinent tridiagonal matrix.
Jolanta Borowska +3 more
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On Matrix‐Based Cryptography Using Matrix Norm and Special Integer Sequences
Mathematische Nachrichten, EarlyView.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
A Quantised Push‐Sum Distributed Adaptive Momentum Algorithm for Optimisation Over Directed Networks
CAAI Transactions on Intelligence Technology, EarlyView.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