Polynomial perturbations of bilinear functionals and Hessenberg matrices
نویسندگان
چکیده
منابع مشابه
Polynomial perturbations of bilinear functionals and Hessenberg matrices
This paper deals with symmetric and non-symmetric polynomial perturbations of symmetric quasi-de nite bilinear functionals. We establish a relation between the Hessenberg matrices associated with the initial and the perturbed functionals using LU and QR factorizations. Moreover we give an explicit algebraic relation between the sequences of orthogonal polynomials associated with both functionals.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2006
ISSN: 0024-3795
DOI: 10.1016/j.laa.2005.09.010