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Titlebook: Numerical Mathematics Singapore 1988; Proceedings of the I Ravi P. Agarwal,Y. M. Chow,S. J. Wilson Conference proceedings 1988 Springer Bas

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A. Iserlesdates of the material and the references.Includes supplementFour signi?cant factors have led us to update this text. The ?rst is the breathtaking progress in technology, especially in receiver and digital techniques. The second is the advance of radio astronomy to shorter wavelengths, and the increa
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Satteluri R. K. Iyengar,Ram P. Manohariques. The second is the advance of radio astronomy to shorter wavelengths, and the increased availab- ity of astronomical satellites. The third is a need to reorganize some of the chapters in order to separate the basic theory, that seldom changes, from practical aspects that change often. Finally,
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Regular Domains of Tridiagonal Matrices, to be regular have been obtained through geometrical considerations and use of an associated three-term recurrence relation. In this note, we shall give an informal but organized presentation of the basic ideas behind, and highlight the excerpts from these results.
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Shape Preserving Interpolation by Parametric Rational Cubic Splines,arametric rational cubics. The resulting curves possess the minimum number of inflections consistent with the data, can be modified locally by the user and will in general have continuous tangent direction and curvature. A particular scheme is suggested which will also reproduce circular arcs.
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Solution of Ill-Posed Problems by Means of Truncated SVD,f a . is satisfied, then in . the truncation parameter can be chosen such that the TSVD solution is satisfactory. The appropriate truncation parameter, giving the optimal signal-to-noise ratio in the solution, is the minimizer of the generalized cross-validation function.
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