کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
468973 | 698275 | 2011 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Orthogonal polynomials associated with an inverse quadratic spectral transform
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Orthogonal polynomials associated with an inverse quadratic spectral transform Orthogonal polynomials associated with an inverse quadratic spectral transform](/preview/png/468973.png)
چکیده انگلیسی
Let {Pn}n≥0{Pn}n≥0 be a sequence of monic orthogonal polynomials with respect to a quasi-definite linear functional uu and {Qn}n≥0{Qn}n≥0 a sequence of polynomials defined by Qn(x)=Pn(x)+snPn−1(x)+tnPn−2(x),n≥1, with tn≠0tn≠0 for n≥2n≥2.We obtain a new characterization of the orthogonality of the sequence {Qn}n≥0{Qn}n≥0 with respect to a linear functional vv, in terms of the coefficients of a quadratic polynomial hh such that h(x)v=uh(x)v=u.We also study some cases in which the parameters snsn and tntn can be computed more easily, and give several examples.Finally, the interpretation of such a perturbation in terms of the Jacobi matrices associated with {Pn}n≥0{Pn}n≥0 and {Qn}n≥0{Qn}n≥0 is presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 61, Issue 4, February 2011, Pages 888–900
Journal: Computers & Mathematics with Applications - Volume 61, Issue 4, February 2011, Pages 888–900
نویسندگان
Manuel Alfaro, Ana Peña, M. Luisa Rezola, Francisco Marcellán,