Titlebook: Approximation and Optimization; Proceedings of the I Juan Alfredo Gómez-Fernandez,Francisco Guerra-Vázq Conference proceedings 1988 Springe

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978-3-540-50443-6Springer-Verlag Berlin Heidelberg 1988

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Lecture Notes in Mathematicshttp://image.papertrans.cn/b/image/160436.jpg

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Approximation and Optimization978-3-540-46005-3Series ISSN 0075-8434 Series E-ISSN 1617-9692

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https://doi.org/10.1007/978-3-642-90670-1In the first part of this paper we briefly review some recent results pertaining to the construction of compactly supported fundamental functions for univariate Lagrange interpolation by splines. In the second part of the paper we discuss several possible extensions of these results to a multivariate setting.

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https://doi.org/10.1007/978-3-642-94724-7In this paper we report on some recent results concerning the distance of a stable matrix A from the set of unstable matrices. Related optimization and optimal control problems are discussed in detail and new algorithms are presented for their solution.