Výsledky vyhľadávania - Numerical computation of matrix exponential and similar matrix functions

Design and analysis of quaternion-valued neural networks for storing and retrieving color images Autor 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…”
Získať plný text

A study of defect-based error estimates for the Krylov approximation of φ-functions Autor 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…”
Získať plný text

Exponential Response Matrix Spectral Nodal Method for the Discrete Ordinates Neutral Particle Transport Model Autor 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…”
Získať plný text

An O(N) algorithm for computing expectation of N-dimensional truncated multi-variate normal distribution II: computing moments and sparse grid acceleration Autor Zheng, Chaowen, Tang, Zhuochao, Huang, Jingfang, Wu, Yichao

“… Analysis and numerical results were presented when A is tridiagonal or given by the exponential model…”
Získať plný text

A universal approach for solving the multi-revolution Lambert’s problem Autor 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…”
Získať plný text

Krylov subspace exponential time domain solution of Maxwell’s equations in photonic crystal modeling Autor 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…”
Získať plný text

On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI Autor 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…”
Získať plný text

On the linear classification of even and odd permutation matrices and the complexity of computing the permanent Autor 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…”
Získať plný text

On ϵ-sensitive monotone computations Autor 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…”
Získať plný text

Simple and exact extreme eigenvalue distributions of finite Wishart matrices Autor 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…”
Získať plný text

Computation of the Sommerfeld Integral tails using the matrix pencil method Autor 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…”
Získať plný text

Generalized spatial dynamic factor models Autor 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…”
Získať plný text

Constructive Necessary and Sufficient Condition for the Stability of Quasi-Periodic Linear Impulsive Systems Autor 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…”
Získať plný text

Systolic computation of the matrix exponential and other matrix functions Autor 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…”
Získať plný text

Comparison between Specialized Quadrature Rules for Method of Moments with NURBS Modelling Applied to Periodic Multilayer Structures Autor 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…”
Získať plný text

Wave atoms and time upscaling of wave equations Autor 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…”
Získať plný text

A Riemann–Hilbert problem for skew-orthogonal polynomials Autor 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…”
Získať plný text

An SVD analysis of equispaced polynomial interpolation Autor 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…”
Získať plný text

Riemann-Hilbert Problems, Their Numerical Solution and the Computation of Nonlinear Special Functions Autor Trogdon, Thomas D

“…The computation of special functions has important implications throughout engineering and the physical sciences…”
Získať plný text

Electromagnetic wave propagation based upon spectral-element methodology in dispersive and attenuating media Autor 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…”
Získať plný text