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Direct and Inverse Computation of Jacobi Matrices of Infinite Homogeneous Affine I.F.S
Jacobi Matrices Orthogonal Polynomials Singular Continuous Measures Iterated Function Systems Gaussian–I.F.S. Quadratures
2011/7/28
Abstract: We introduce a new set of algorithms to compute Jacobi matrices associated with measures generated by infinite systems of iterated functions. We demonstrate their relevance in the study of t...
Darboux transformations of Jacobi matrices and Padé approximation
Darboux transformation, monic Jacobi matrix monic generalized
2011/2/22
Let J be a monic bounded Jacobi matrix associated with the function F. We construct a pair of the lower and upper triangular block matrices L and U such that J = LU and the matrix JC = UL is a monic g...
On the eigenvalue problem for a particular class of finite Jacobi matrices
the eigenvalue problem finite Jacobi matrices
2010/11/11
A function $\mathfrak{F}$ with simple and nice algebraic properties is defined on a subset of the space of complex sequences. Some special functions are expressible in terms of $\mathfrak{F}$, first ...