Výsledky vyhledávání - matrix exponential and similar functions of matrices

On Bernoulli series approximation for the matrix cosine Autor Defez, Emilio, Ibáñez, Javier, Alonso, José M., Alonso‐Jordá, Pedro

“…This paper presents a new series expansion based on Bernoulli matrix polynomials to approximate the matrix cosine function…”
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Rudin’s extension theorems and exponential convexity for matrix- and function-valued positive semidefinite functions Autor Porcu, Emilio, Emery, Xavier, Ferreira, Vinicius, Zubelli, Jorge

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Summing divergent matrix series: Summing divergent matrix series Autor Wang, Rongbiao, Lee, JungHo, Lim, Lek-Heng

“…—not only is the scalar series replaced by a matrix series, positive weights are replaced by positive definite matrix weights, order on R replaced by Loewner order, exponential function replaced…”
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Rudin’s extension theorems and exponential convexity for matrix- and function-valued positive semidefinite functions: Rudin’s extension theorems and exponential Autor Porcu, Emilio, Emery, Xavier, Ferreira, Vinicius, Zubelli, Jorge

“…Matrix-valued (multivariate) correlation functions are increasingly used within both the statistics and machine learning communities, but their properties have been studied to a limited extent…”
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A Matrix Exponential Spatial Panel Model with Heterogeneous Coefficients Autor LeSage, James, Chih, Yao‐Yu

“… The HMESS takes a similar approach as the HSAR to produce estimates for each region in the sample, but relies on a matrix exponential function to apply exponential decay to higher‐order neighbors…”
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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…”
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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

“…In this work, the response matrix‐exponential nodal method is presented to solve fixed source neutral particle transport problems with isotropic scattering and discrete ordinates formulation in two…”
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A finite deformation constitutive model for brain white matter considering the time-dependent and damage behaviors of matrix and axonal fibers Autor Xia, Bing, Fan, Lei, He, Ge

“… Within the continuum damage mechanics framework, the Ogden model was used to describe the hyperelastic and viscous behavior of the matrix, while exponential and second-order power functions…”
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Signal Integrity Analysis of Tapered Through Packaging Multibit Glass Vias Using Exponential Matrix-Rational Approximation Technique Autor Kumar, Ajay, Dhiman, Rohit

“…) with pads in glass interposer by developing an exponential matrix-rational approximation (EM-RA) technique. An electrical RLGC model, which also includes the skin effect…”
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On exponential factorizations of matrices over Banach algebras Autor Brudnyi, Alexander

“…We study exponential factorization of invertible matrices over unital complex Banach algebras…”
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Further research on exponential stability for quaternion-valued neural networks with mixed delays Autor Xu, Xiaohui, Xu, Quan, Yang, Jibin, Xue, Huanbin, Xu, Yanhai

“… Conditions for ensuring the global exponential stability of the equilibrium point of the system are obtained on the basis of the vector Lyapunov function method instead of the linear…”
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Monotone convergence of the extended Krylov subspace method for Laplace–Stieltjes functions of Hermitian positive definite matrices Autor Schweitzer, Marcel

“…The extended Krylov subspace method is known to be very efficient in many cases in which one wants to approximate the action of a matrix function f…”
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Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: Theory and Algorithms Autor Aprahamian, Mary, Higham, Nicholas J.

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Convex Parameter Estimation of Perturbed Multivariate Generalized Gaussian Distributions Autor Ouzir, Nora, Pascal, Frederic, Pesquet, Jean-Christophe

“…) matrix are unknown is still an open problem. In robust estimation, imposing classical constraints on the precision matrix, such as sparsity, has been limited by the non-convexity of the resulting cost function…”
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Stochastic programming approach for static origin–destination matrix reconstruction problem Autor Jeong, In-Jae, Park, Dongjoo

“… We focus on the reconstruction of route flows such that the likelihood function of route flows is maximized…”
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On the q-exponential of matrix q-Lie algebras Autor Ernst, Thomas

“… Then we discuss matrix q-Lie algebras with a modified q-addition, and compute the matrix q-exponential to form the corresponding n…”
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Adaptive Rational Krylov Methods for Exponential Runge–Kutta Integrators Autor Bergermann, Kai, Stoll, Martin

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Controlled release of microencapsulated probiotics in food matrix Autor Basu, Soham, Banerjee, Debolina, Chowdhury, Ranjana, Bhattacharya, Pinaki

“…) matrix and their performance in lactose-rich media. Probiotic beads and microcapsules were suspended in modified de Mann-Rogosa-Sharpe (MRS…”
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Krylov complexity in the IP matrix model. Part II Autor Iizuka, Norihiro, Nishida, Mitsuhiro

“…A bstract We continue the analysis of the Krylov complexity in the IP matrix model…”
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Exponential stability of switched block triangular systems under arbitrary switching Autor Otsuka, Naohisa, Shimizu, Tomoharu

“…In this paper, exponential stability of continuous-time and discrete-time switched $ k\times k $ k…”
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