کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774821 | 1631562 | 2017 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials](/preview/png/5774821.png)
چکیده انگلیسی
Persymmetric Jacobi matrices are invariant under reflection with respect to the anti-diagonal. The associated orthogonal polynomials have distinctive properties that are discussed. They are found in particular to be also orthogonal on the restrictions either to the odd or to the even points of the complete orthogonality lattice. This is exploited to design very efficient inverse problem algorithms for the reconstruction of persymmetric Jacobi matrices from spectral points. Isospectral deformations of such matrices are also considered. Expressions for the associated polynomials and their weights are obtained in terms of the undeformed entities.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 450, Issue 2, 15 June 2017, Pages 915-928
Journal: Journal of Mathematical Analysis and Applications - Volume 450, Issue 2, 15 June 2017, Pages 915-928
نویسندگان
Vincent X. Genest, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov,