### Direct trajectory optimization and costate estimation of

Direct trajectory optimization and costate estimation of ﬁnite-horizon 339 scalar-valued function is a row vector. If φ Rm n →R and X is an m by n matrix then ∇φ denotes the m by n matrix whose (i j) element is (∇φ(X))ij =∂φ(X)∂Xij 3 Formulation of pseudospectral method using LGR points

Get Price### Estimating covariance and precision matrices DeepAI

Estimating covariance and precision matrices along subspaces. 09/26/2019 ∙ by Zeljko Kereta et al. ∙ 0 ∙ share . We study the accuracy of estimating the covariance and the precision matrix of a D-variate sub-Gaussian distribution along a prescribed subspace or direction

Get Price### Adaptive pseudospectral methods for solving constrained

Feb 01 2014 · Recently Marzban and Hoseini introduced an efficient composite Chebyshev finite difference method for solving unconstrained linear state-delay optimal control problems which is indeed an adaptive pseudospectral method based on Chebyshev–Gauss–Lobatto collocation points.

Get Price### Costate Estimation Using Multiple-Interval Pseudospectral

Costate Estimation Using Multiple-Interval Pseudospectral Methods Christopher L. Darby ∗ ‡ Divya Garg † ‡ and Anil V. Rao§ University of Florida Gainesville Florida 32611 DOI 10.2514/1.A32040 A method is presented for costate estimation in nonlinear optimal control problems using multiple-interval

Get Price### Direct Trajectory Optimization and Costate Estimation of

Direct Trajectory Optimization and Costate Estimation of Finite-Horizon and Inﬁnite-Horizon Optimal Control Problems Using a Radau Pseudospectral Method Divya Garg∗ Michael A. Patterson† Camila Francolin‡ Christopher L. Darby§ Department of Mechanical and Aerospace Engineering University of Florida Gainesville FL 32611 Geoﬀrey T

Get Price### 1611.09034 An adaptive-size multi-domain pseudospectral

Nov 28 2016 · We show that a pseudospectral representation of the wavefunction using multiple spatial domains of variable size yields a highly accurate yet efficient method to solve the time-dependent Schrödinger equation. The overall spatial domain is split into non-overlapping intervals whose size is chosen according to the local de Broglie wavelength. A multi-domain weak formulation of the

Get Price### Direct Trajectory Optimization and Costate Estimation of

Direct Trajectory Optimization and Costate Estimation of General Optimal Control Problems Using a Radau Pseudospectral Method. Divya Garg Michael Patterson Christopher Darby Camila Francolin Geoffrey Huntington William Hager and Anil Rao

Get Price### A two-dimensional adaptive pseudo-spectral method

N2We develop a two-dimensional adaptive pseudo-spectral procedure which is capable of improving the approximation of functions which are rapidly varying in two dimensions. The method is based on introducing two-dimensional coordinate transformations chosen to minimize certain functionals of the solution to be approximated.

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Jun 15 2020 · Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces. the same pseudodifferential operator representation will still allow for combining the efficiency of the pseudospectral method and the computation of the non-constant coefficient Dirac equation (see ). 5.

Get Price### Sorted Concave Penalized Regression DeepAI

Dec 28 2017 · The purpose of this paper is twofold. First we provide a unified treatment of prediction coefficient estimation and variable selection properties of concave penalized least squares estimation (PLSE) in high-dimensional linear regression under the restrictive eigenvalue (RE) condition on the design matrix. Second we propose sorted concave PLSE to combine the advantages of concave and

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