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Linearization method for MINLP energy optimization problems. [PDF]
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Restricted Nonlinear Approximation
Constructive Approximation, 2000This paper introduces a new form of nonlinear approximation called restricted approximation. It is a generalization of \(n\)-term wavelet approximation in which a weight function is used to control the terms in the wavelet expansion of the approximant.
Cohen, A., DeVore, R. A., Hochmuth, R.
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Nonlinear Nonnested Spline Approximation
Constructive Approximation, 2016Linear and in particular non-linear spline approximation is a most useful tool in the approximation of for instance two-dimensional functions. Usually, piecewise polynomial splines with more and more refined knot-sequences are considered as elements of nested spaces spanned by splines. Generalising from this point of view, it is interesting to consider
Lind, Martin, Petrushev, Pencho
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Nonlinear Wavelet Approximation in BMO
Constructive Approximation, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ivanov, Kamen G., Petrushev, Pencho
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Nonlinear smoothing: approximate algorithms
Applied Mathematics and Computation, 1979In this paper the method of stochastic linearization is employed to develop new approximate algorithms for nonlinear smoothing. Both fixed-point and fixed-interval smoothing cases are considered. An example is included to illustrate the use of the algorithms.
Chan, W. K., Kumar, K. S. P.
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Nonlinear system approximations
26th IEEE Conference on Decision and Control, 1987We are interested in approximating a nonlinear system by a feedback linearizable system instead of a linear system. Two approaches presently exist in the literature. One involves the concept of involutivity to a certain order, and the other considers a canonical expansion and pure feedback approximation.
Richard Goldthwait, L. Hunt
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