Search Results - hyperbolic functions of matrices

Accelerated BIBO stability criterion for dynamical systems based on matrix hyperbolic tangent function: Accelerated BIBO stability criterion for dynamical systems based on matrix hyperbolic tangent by Fatoorehchi, Hooman, Bohr, Henrik G., Fosbøl, Philip L.

“… To simplify the intricate calculations, we propose a theorem linking the matrix sign function to the matrix hyperbolic tangent function…”
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Solving engineering models using hyperbolic matrix functions by Defez, Emilio, Sastre, Jorge, Ibáñez, Javier, Peinado, Jesús

“…•A method for computing hyperbolic matrix functions based on Hermite matrix polynomial expansions is presented…”
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THE HYBRID FORM OF THE HYPERBOLIC HORADAM MATRIX FUNCTIONS by Mersin, E.O

“…In the present paper, a special type of hybrid number is introduced whose components are the hyperbolic Horadam sine and cosine matrix functions…”
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On explicit formulas of hyperbolic tangent matrix function by Laarichi, Yassine, Ftouhi, Mostafa, Gretete, Driss

“…The hyperbolic tangent matrix function is a mathematical tool with diverse applications in various fields of mathematics, applied science, and engineering…”
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Accelerated BIBO stability criterion for dynamical systems based on matrix hyperbolic tangent function by Fatoorehchi, Hooman, Bohr, Henrik G., Fosbøl, Philip L.

“… To simplify the intricate calculations, we propose a theorem linking the matrix sign function to the matrix hyperbolic tangent function…”
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ON THE HYPERBOLIC FIBONACCI MATRIX FUNCTIONS by Bahsi, M, Solak, S

“…In this study, we will introduce a new class of hyperbolic matrix functions. By comparing Binet formulas for the Fibonacci and Lucas numbers to the formulas…”
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Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: Theory and Algorithms by Aprahamian, Mary, Higham, Nicholas J.

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Generalized hyperbolic functions, circulant matrices and functional equations by Muldoon, Martin E.

“… Here we shorten and simplify the statements and proofs of some of these results by a more systematic use of matrix notation…”
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A trigonometric identity for 2 × 2 block matrices by Withers, Christopher S., Nadarajah, Saralees

“…This note extends some formulas relating exponential, trigonometric and hyperbolic trigonometric functions to a subset of 2 × 2 block matrices…”
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Computing the Action of Trigonometric and Hyperbolic Matrix Functions by Higham, Nicholas J, Kandolf, Peter

“…We derive a new algorithm for computing the action \(f(A)V\) of the cosine, sine, hyperbolic cosine, and hyperbolic sine of a matrix \(A\) on a matrix \(V…”
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On some trigonometric and hyperbolic functions evaluated on circulant matrices by Bueno, Aldous Cesar F

“…] and the hyperbolic functions sinh x and cosh x are evaluated on circulant matrices. Keywords circulant matrix, trigonometric functions, hyperbolic functions…”
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Fast Approximation of Sine and Cosine Hyperbolic Functions for the Calculation of the Transmission Matrix of a Multiconductor Transmission Line by Dikhaminjia, Nana, Rogava, Jemal, Tsiklauri, Mikheil, Zvonkin, Mikhail, Jun Fan, Drewniak, James L.

“… The algorithm can be used for S-parameter calculation from RLGC parameters. The idea is to construct the recurrent relation for the approximate solution of sine and cosine hyperbolic complex value matrix functions…”
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Cryptology Based on Laplace Transform of Hyperbolic Function and Matrix Decomposition Method by Akram, Zaryab

“…Cryptography is the art of coding and decoding the communication. Cryptography ensures the security of delicate information over some confidentiality breaching…”
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Sparse signal reconstruction via recurrent neural networks with hyperbolic tangent function by Wen, Hongsong, He, Xing, Huang, Tingwen

“… First, a one-layer RNN based on the hyperbolic tangent function and the projection matrix is designed…”
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A New Algorithm for Computing the Actions of Trigonometric and Hyperbolic Matrix Functions by Al-Mohy, Awad H

“… For each option, actions of a pair of trigonometric or hyperbolic matrix functions are simultaneously computed…”
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Superior performance of using hyperbolic sine activation functions in ZNN illustrated via time-varying matrix square roots finding by Zhang, Yunong, Jin, Long, Ke, Zhende

“… In this paper, to pursue the superior convergence and robustness properties, hyperbolic sine activation functions are applied to the ZNN model for online solution of time-varying matrix…”
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Matrix Stability of Multiquadric Radial Basis Function Methods for Hyperbolic Equations with Uniform Centers by Chen, Xinjuan, Jung, Jae-Hun

“…The fully discretized multiquadric radial basis function methods for hyperbolic equations are considered…”
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A smoothed rank function algorithm based Hyperbolic Tangent function for matrix completion by Juan Geng, Lai-Sheng Wang, Ai-Min Fu, Qi-Qing Song

“… it. Our algorithm is named as Hyperbolic Tangent function Approximation algorithm (HTA). We report numerical results for solving randomly generated matrix completion problems and image reconstruction…”
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Accounting for the role of long walks on networks via a new matrix function by Estrada, Ernesto, Silver, Grant

“… This new matrix function is based on the matrix error function. We find a very good approximation of this function using a matrix hyperbolic tangent function…”
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A General Matrix Function Dimensionality Reduction Framework and Extension for Manifold Learning by Ran, Ruisheng, Feng, Ji, Zhang, Shougui, Fang, Bin

“… Then, combining the unified criterion with the matrix function, we propose a general matrix function dimensionality reduction framework…”
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