The computation of orthogonal rational functions and their interpolating properties
نویسندگان
چکیده
منابع مشابه
On the computation of orthogonal rational functions
Several techniques are known to compute a new orthogonal polynomial φk+1 of degree k + 1 from Lk := span{φ0, ..., φk} in case of (discrete) orthogonality on the real line. In the Arnoldi approach one chooses Φk ∈ Lk and makes xΦk orthogonal against φ0, ..., φk. By taking as Φk a linear combination of φk and the kernel (or GMRES) polynomial ψk(x) = ∑k j=0 φj(0)φj(x), one needs to orthogonalize o...
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Introduction This monograph forms an introduction to the theory of orthogonal rational functions. The simplest way to see what we mean by orthogonal rational functions is to consider them as generalizations of orthogonal polynomials. There is not much confusion about the meaning of an orthogonal polynomial sequence. One says that f n g 1 n=0 is an orthogonal polynomial sequence if n is a polyno...
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ژورنال
عنوان ژورنال: Numerical Algorithms
سال: 1992
ISSN: 1017-1398,1572-9265
DOI: 10.1007/bf02142207