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MINRES for Second-Order PDEs with Singular Data
(2022)
Minimum residual methods such as the least-squares finite element method (FEM) or the discontinuous Petrov-Galerkin (DPG) method with optimal test functions usually exclude singular data, e.g., non-square-integrable loads. ...
A inversa generalizada de uma matriz e aplicações
(Universidade Estadual Paulista (Unesp), 2022-10-14)
A resolução de sistemas lineares tem aplicação nos mais diversos campos da ciência. Em geral, as resoluções de sistemas lineares envolvendo a inversa de uma matriz estão restritas às matrizes quadradas e não singulares. O ...
Estudo do produto matricial por meio do método dos mínimos quadrados: uma abordagem destinada ao ensino médio
(Universidade Federal de Santa MariaBRMatemáticaUFSMPrograma de Pós-Graduação em Matemática, 2014-04-22)
It has always been a challenge for math teachers to motivate students nowadays, with
access to new technologies, this becomes and even greater challenge. One of the strategies
that can be utilized in trying to increase ...
Performance Analysis of the Least-Squares Estimator in Astrometry
(2015)
We characterize the performance of the widely used least-squares estimator in astrometry in terms of a comparison with the Cramer-Rao lower variance bound. In this inference context the performance of the least-squares ...
Improvements on multivariable control strategies tested on the Petlyuk distillation column
(Elsevier, 2013-04-19)
In this work, a plant-wide control methodology, named Minimum Square Deviation (MSD), is applied on the challenging Petlyuk distillation column. This process presents an interesting design since allows to separate a ternary ...
Modelagem matemática de recordes esportivos via ajuste de curvas
(Universidade Estadual Paulista (Unesp), 2018-08-14)
O objetivo desse trabalho é estudar e apresentar detalhes da teoria de aproximação de funções e aplicá-la a problemas envolvendo prática esportiva, mais especificamente a encontrar limitantes e estimativas futuras para ...
Performance Analysis of the Least-Squares Estimator in Astrometry
(The Astronomical Society of the Pacific, 2015-11)
We characterize the performance of the widely used least-squares estimator in astrometry in terms
of a comparison with the Cramér–Rao lower variance bound. In this inference context the performance of the leastsquares
estimator ...
Stochastic stability analysis for the constant-modulus algorithm
(IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2008)
We derive an easy-to-compute approximate bound for the range of step-sizes for which the constant-modulus algorithm (CMA) will remain stable if initialized close to a minimum of the CM cost function. Our model highlights ...
Optimality of the maximum likelihood estimator in astrometry
(EDP Sciences, 2018)
Context. Astrometry relies on the precise measurement of positions and motions of celestial objects. Driven by the ever-increasing
accuracy of astrometric measurements, it is important to critically assess the maximum ...