The problem of guaranteed precision in numerical methods of linear algebra

SUMMARYThis paper presents the design of a controller that allows a four-rotor helicopter to track a desired trajectory in 3D space. To this aim, a dynamic model obtained from Euler-Lagrange equations describes the robot. This model is represented by numerical methods, with which the control actions for the operation of the system are obtained. The proposed controller is simple and presents good performance in face of uncertainties in the model of the system to be controlled. Zero-convergence proof is included, and simulation results show a good performance of the control system.

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Linear Algebra — Numerical Methods

Engineering Mathematics ◽

10.1007/978-94-010-9311-8_10 ◽

1977 ◽

pp. 381-407

Author(s):

A. J. M. Spencer ◽

D. F. Parker ◽

D. S. Berry ◽

A. H. England ◽

T. R. Faulkner ◽

...

Keyword(s):

Numerical Methods ◽

Linear Algebra

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Linear algebra approach to phase shifting interferometry: numerical methods

Applied Optical Metrology III ◽

10.1117/12.2530125 ◽

2019 ◽

Author(s):

Marco Antonio Escobar Acevedo ◽

Julio C. Estrada ◽

Javier Vargas

Keyword(s):

Numerical Methods ◽

Linear Algebra ◽

Phase Shifting ◽

Phase Shifting Interferometry ◽

Algebra Approach

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Sala de aula invertida no ensino de Matemática: mapeamento de pesquisas científicas na área de EnsinoFlipped Classroom in the teaching of Mathematics: mapping of scientific research in the area of Education

Educação Matemática Pesquisa Revista do Programa de Estudos Pós-Graduados em Educação Matemática ◽

10.23925/1983-3156.2018v20i2p222-235 ◽

2018 ◽

Vol 20 (2) ◽

Author(s):

Karla Priscila Schreiber ◽

Elaine Corrêa Pereira ◽

Celiane Costa Machado ◽

Mauren Porciúncula

Keyword(s):

Numerical Methods ◽

Linear Algebra ◽

Flipped Classroom ◽

Scientific Research ◽

Scientific Publications ◽

Pedagogical Strategy ◽

Teaching Of Mathematics ◽

Number Of Publications

Nesta pesquisa, teve-se como propósito identificar e analisar as publicações científicas, nacionais e internacionais, acerca da metodologia de sala de aula invertida, para o ensino de Matemática. Obtiveram-se 16 artigos, abrangendo investigações nos conteúdos de Cálculo, Métodos Numéricos e Álgebra Linear. Outras publicações apresentaram análises acerca da influência da inversão da sala de aula na diminuição da ansiedade e também, na utilização desta proposta por professores de Matemática. Tal mapeamento indicou, considerando os critérios apresentados, um número restrito de publicações, no período de 2014 a 2017, com apenas 5 periódicos. Com isso, consideram-se necessárias novas pesquisas, na área de Ensino, que possam analisar e discutir a metodologia da sala de aula invertida e as influências desta no ensino e aprendizagem de Matemática.The purpose of this research was to identify and analyze the scientific publications, national and international, about the pedagogical strategy of the flipped classroom in the teaching of Mathematics. The study retrieved 16 papers, covering investigations in the contents of Calculus, Numerical Methods and Linear Algebra. Other searches showed the inversion of the classroom in the reduction of anxiety and also in the use of this proposal by teachers of Mathematics. Such mapping indicated a limited number of publications, from 2014 to 2017, with only five journals. Therefore, it is considered necessary new searches that can discuss the flipped classroom and the influences of this one in the teaching of Mathematics.

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