Error analysis for a matrix pencil of Hankel matrices with perturbed complex moments
نویسندگان
چکیده
منابع مشابه
determinant of the hankel matrix with binomial entries
abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.
15 صفحه اولAn Equivalent Matrix Pencil for Bivariate Polynomial Matrices
In this paper, we present a simple algorithm for the reduction of a given bivariate polynomial matrix to a pencil form which is encountered in Fornasini-Marchesini’s type of singular systems. It is shown that the resulting matrix pencil is related to the original polynomial matrix by the transformation of zero coprime equivalence. The exact form of both the matrix pencil and the transformation ...
متن کاملPerturbed Hankel determinants
In this paper, we compute, for large n, the determinant of a class of n×nHankel matrices, which arise from a smooth perturbation of the Jacobi weight. For this purpose, we employ the same idea used in previous papers, where the unknown determinant Dn[wα,βh] is compared with the known determinant Dn[wα,β]. Here wα,β is the Jacobi weight and wα,βh, where h = h(x), x ∈ [−1, 1], is strictly positiv...
متن کاملInversion of Mosaic Hankel Matrices via Matrix Polynomial Systems
Heinig and Tewodros [18] give a set of components whose existence provides a necessary and sufficient condition for a mosaic Hankel matrix to be nonsingular. When this is the case they also give a formula for the inverse in terms of these components. By converting these components into a matrix polynomial form we show that the invertibility conditions can be described in terms of matrix rationa...
متن کاملThe Euler-Seidel Matrix, Hankel Matrices and Moment Sequences
The purpose of this note is to investigate the close relationship that exists between the Euler-Seidel matrix [3, 4, 5, 6, 10] of an integer sequence, and the Hankel matrix [9] of that sequence. We do so in the context of sequences that have integral moment representations, though many of the results are valid in a more general context. While partly expository in nature, the note assumes a cert...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: JSIAM Letters
سال: 2009
ISSN: 1883-0609,1883-0617
DOI: 10.14495/jsiaml.1.76