Search Results - Numerical computation of matrix exponential and similar matrix functions

Design and analysis of quaternion-valued neural networks for storing and retrieving color images by Manoj, N., Sriraman, R., Gurusamy, R., Shang, Yilun

“…) with non-differentiable distributed delays using the matrix measure method (MMM). Given the complex nature of quaternion algebra, the QVNNs are first transformed into similar four-dimensional real-valued neural networks (RVNNs…”
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A study of defect-based error estimates for the Krylov approximation of φ-functions by Jawecki, Tobias

“…Prior recent work, devoted to the study of polynomial Krylov techniques for the approximation of the action of the matrix exponential e t A v , is extended to the case of associated φ -functions…”
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Exponential Response Matrix Spectral Nodal Method for the Discrete Ordinates Neutral Particle Transport Model by Rivas-Ortiz, Iram B., Sanchez-Dominguez, Dany, Marrero Iglesias, Susana, Ambrósio, Paulo Eduardo

“… This approach eliminates the need for additional auxiliary equations found in the spectral Green’s function (SGF) schemes, streamlining internodal computation to a matrix…”
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An O(N) algorithm for computing expectation of N-dimensional truncated multi-variate normal distribution II: computing moments and sparse grid acceleration by Zheng, Chaowen, Tang, Zhuochao, Huang, Jingfang, Wu, Yichao

“… Analysis and numerical results were presented when A is tridiagonal or given by the exponential model…”
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A universal approach for solving the multi-revolution Lambert’s problem by McElreath, James, Down, Ian M., Majji, Manoranjan

“… This paper presents a universal approach (valid across all conics) to solving Lambert’s problem. By employing matrix exponential solutions to the Sundman transform, the transfer time equation…”
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Krylov subspace exponential time domain solution of Maxwell’s equations in photonic crystal modeling by Botchev, Mikhail A.

“…The exponential time integration, i.e., time integration which involves the matrix exponential, is an attractive tool for time domain modeling involving Maxwell’s equations…”
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On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI by Blower, Gordon

“… × 2 matrix coefficients with rational entries. By a construction due to Tracy and Widom, this linear system is associated with certain kernels which give trace class operators on Hilbert space…”
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On the linear classification of even and odd permutation matrices and the complexity of computing the permanent by Babenko, A. V., Vyalyi, M. N.

“… Exponential lower bounds on the magnitude of the coefficients of the functional that classifies the even and odd permutation matrices in the case of the field of real numbers and similar linear lower…”
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On ϵ-sensitive monotone computations by Hrubeš, Pavel

“… f has a monotone arithmetic circuit of size O ( s d 2 + n log n ) , for some ϵ > 0 . Second, if f : { 0 , 1 } n → { 0 , 1 } is a Boolean function, we associate with f an explicit exponential-size matrix M…”
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Simple and exact extreme eigenvalue distributions of finite Wishart matrices by Zhang, Wensheng, Zheltov, Pavel, Abreu, Giuseppe

“…’ eigenvalue is obtained, but also the CDF of the ‘largest’ eigenvalue and the probability density functions of both are expressed in a similar and convenient matrix form…”
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Computation of the Sommerfeld Integral tails using the matrix pencil method by Mengtao Yuan, Sarkar, T.K.

“…The oscillating infinite domain Sommerfeld integrals (SI) are difficult to integrate using a numerical procedure when dealing with structures in a layered media, even though several researchers have attempted to do that…”
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Generalized spatial dynamic factor models by Lopes, Hedibert Freitas, Gamerman, Dani, Salazar, Esther

“…) transformation of the measurements mean function. The factor loadings matrix is responsible for modeling spatial variation, while the common factors are responsible for modeling the temporal variation…”
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Constructive Necessary and Sufficient Condition for the Stability of Quasi-Periodic Linear Impulsive Systems by Fiacchini, Mirko, Morarescu, Irinel-Constantin

“…The technical note provides a computation-oriented necessary and sufficient condition for the global exponential stability of linear impulsive systems, whose impulsions are assumed to occur quasi-periodically…”
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Systolic computation of the matrix exponential and other matrix functions by Evans, D.J., Margaritis, K.

“…This paper discusses the systolic implementation of the computation of the exponential of a matrix by means of techniques involving "scaling and squaring" as applied to the Taylor series approximation…”
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Comparison between Specialized Quadrature Rules for Method of Moments with NURBS Modelling Applied to Periodic Multilayer Structures by Florencio, Rafael, Somolinos, Álvaro, González, Iván, Cátedra, Felipe, Lozano, Lorena

“…A comparison between Ma-Rokhlin-Wandzura (MRW) and double exponential (DE) quadrature rules for numerical integration of method of moments (MoM…”
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Wave atoms and time upscaling of wave equations by Demanet, Laurent, Ying, Lexing

“…). 2 Wave atoms offer a uniquely structured representation of the Green’s function in the sense that the resulting matrix is universally sparse over the class of C…”
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A Riemann–Hilbert problem for skew-orthogonal polynomials by Pierce, Virgil U.

“…We find a local ( d + 1 ) × ( d + 1 ) Riemann–Hilbert problem characterizing the skew-orthogonal polynomials associated to the partition function of orthogonal ensembles of random matrices with a potential function of degree d. Our Riemann…”
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An SVD analysis of equispaced polynomial interpolation by Boyd, John P., Sousa, Alan M.

“… We prove that the observed exponential-with- N error growth of the Runge Phenomenon requires that at least the smallest singular value of the interpolation matrix must decay to zero exponentially…”
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Riemann-Hilbert Problems, Their Numerical Solution and the Computation of Nonlinear Special Functions by Trogdon, Thomas D

“…The computation of special functions has important implications throughout engineering and the physical sciences…”
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Electromagnetic wave propagation based upon spectral-element methodology in dispersive and attenuating media by Morency, Christina

“… geometries, inherent to finite-element methods and retaining the strength of exponential convergence and accuracy due to the use of high-degree polynomials to interpolate field functions on the elements…”
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