Fast Polynomial Transforms is popular PDF and ePub book, written by Jens Keiner in 2011, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Fast Polynomial Transforms can be Read Online from any device for your convenience.
Fast Polynomial Transforms Book PDF Summary
Classical orthogonal polynomials and the related associated functions are real classics in approximation theory. They share a rich history of research that has uncovered their many relationships to topics of fundamental importance. This text develops a new aspect of the so-called connection problem. This problem asks how a given expansion in a specific sequence of polynomials or functions may be converted into an equivalent one using a different sequence - often within reason, that is, within the same classical family. A new theory relates this problem to the class of semiseparable matrices. This implies efficient algorithms that have the capacity to cover the connection problem not only numerically efficient, but at the same time, numerically stable. The result has implications for numerical problems whose treatment involves these transformations. One such example, described in more detail, are generalizations of the fast Fourier transform to geometries like the two-sphere or the rotation group SO(3).
Detail Book of Fast Polynomial Transforms PDF
- Author : Jens Keiner
- Release : 20 September 2024
- Publisher : Logos Verlag Berlin GmbH
- ISBN : 9783832528508
- Genre : Mathematics
- Total Page : 231 pages
- Language : English
- PDF File Size : 21,7 Mb
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