Indeterminacy criteria for the Stieltjes matrix moment problem
From MaRDI portal
Publication:869779
DOI10.1023/B:MATN.0000015022.02925.bdzbMath1110.47301MaRDI QIDQ869779
Publication date: 9 March 2007
Published in: Mathematical Notes (Search for Journal in Brave)
Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems (44A60)
Related Items (35)
On the truncated matricial Stieltjes moment problem \(\mathsf{M} [[\alpha, \infty);(s_j)_{j = 0}^m, \leq\)] ⋮ Three-term recurrence relation coefficients and continued fractions related to orthogonal matrix polynomials on the finite interval [a, b] ⋮ Untangling the nonlinearity in inverse scattering with data-driven reduced order models ⋮ Explicit relation between two resolvent matrices of the truncated Hausdorff matrix moment problem ⋮ On the resolvent matrix of the truncated Hausdorff matrix moment problem ⋮ Dyukarev-Stieltjes parameters of the truncated Hausdorff matrix moment problem ⋮ Relations between the orthogonal matrix polynomials on \([a,b\), Dyukarev-Stieltjes parameters, and Schur complements] ⋮ On generalization of classical Hurwitz stability criteria for matrix polynomials ⋮ A generalized Stieltjes criterion for the complete indeterminacy of interpolation problems ⋮ Transformations of matricial \({\alpha}\)-Stieltjes non-negative definite sequences ⋮ The matrix version of Hamburger's theorem ⋮ Description of the solutions of a degenerate moment problem on the axis and the semiaxis ⋮ Robust nonlinear processing of active array data in inverse scattering via truncated reduced order models ⋮ Complete indeterminacy of the Nevanlinna-Pick problem in the class \(S[a,b\)] ⋮ The zeros of determinants of matrix-valued polynomials that are orthonormal on a semi-infinite or finite interval ⋮ On resolvent matrix, Dyukarev-Stieltjes parameters and orthogonal matrix polynomials via \([0, \infty)\)-Stieltjes transformed sequences ⋮ A Potapov-Type Approach to a Truncated Matricial Stieltjes-Type Power Moment Problem ⋮ From the Potapov to the Krein-Nudel'man representation of the resolvent matrix of the truncated Hausdorff matrix moment problem ⋮ On Conditions of Complete Indeterminacy for the Matricial Hamburger Moment Problem ⋮ A Closer Look at the Solution Set of the Truncated Matricial Moment Problem "Equation missing" ⋮ On a simultaneous approach to the even and odd truncated matricial Stieltjes moment problem II: an \(\alpha\)-Schur-Stieltjes-type algorithm for sequences of holomorphic matrix-valued functions ⋮ On a simultaneous approach to the even and odd truncated matricial Stieltjes moment problem I: an \(\alpha\)-Schur-Stieltjes-type algorithm for sequences of complex matrices ⋮ Step-by-step solving of ordered interpolation problem for Stieltjes functions ⋮ A unified treatment for the matrix Stieltjes moment problem in both nondegenerate and degenerate cases ⋮ Multiscale S-Fraction Reduced-Order Models for Massive Wavefield Simulations ⋮ A Schur-Nevanlinna type algorithm for the truncated matricial Hausdorff moment problem ⋮ Resolvent matrix of the truncated Nevanlinna-Pick matrix interpolation problem via orthogonal rational functions in the Stieltjes class ⋮ A Favard type theorem for Hurwitz polynomials ⋮ Criterion for complete indeterminacy of limiting interpolation problem of Stieltjes type in terms of orthonormal matrix-functions ⋮ The matrix Toda equations for coefficients of a matrix three-term recurrence relation ⋮ Distance preserving model order reduction of graph-Laplacians and cluster analysis ⋮ Moment perturbation of matrix polynomials ⋮ The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions ⋮ On Dyukarev's resolvent matrix for a truncated Stieltjes matrix moment problem under the view of orthogonal matrix polynomials ⋮ On matrix Hurwitz type polynomials and their interrelations to Stieltjes positive definite sequences and orthogonal matrix polynomials
This page was built for publication: Indeterminacy criteria for the Stieltjes matrix moment problem
