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Sard's approximation processes and oblique projections
(Polish Academy of Sciences. Institute of Mathematics, 2009-12)
Three problems arising in approximation theory are studied. These problems have already been studied by Arthur Sard. The main goal of this paper is to use geometrical compatibility theory to extend Sard's results and get ...
On a conjecture by Mbekhta about best approximation by polar factors
(American Mathematical Society, 2021-11)
The polar factor of a bounded operator acting on a Hilbert space is the unique partial isometry arising in the polar decomposition. It is well known that the polar factor might not be a best approximant to its associated ...
Global symmetric approximation of frames
(Springer, 2019-08)
We solve the problem of best approximation by Parseval frames to an arbitrary frame in a subspace of an infinite dimensional Hilbert space. We explicitly describe all the solutions and we give a criterion for uniqueness. ...
Circumcentering outer-approximate projections and reflections for the convex feasibility problem
(2021-03-26)
Recentemente, algoritmos baseados em circuncentros foram aplicados para resolver problemas gerais de viabilidade convexa. Para superar computações custosas de projeções e reflexões em conjuntos convexos, nós apresentamos ...
Secant approximations
(Wolfram Demonstration Project, 2016)
Secant approximations
(Wolfram Demonstration Project, 2011)
Approximating the derivative by the symmetric difference quotient
(Wolfram Demonstration Project, 2016)
Approximating the derivative by the symmetric difference quotient
(Wolfram Demonstration Project, 2011)