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

DOI10.1016/j.laa.2017.01.028zbMath1359.44004arXiv1604.07240OpenAlexW2963579863WikidataQ114152358 ScholiaQ114152358MaRDI QIDQ513255

Bernd Kirstein, Bernd Fritzsche, Conrad Mädler

Publication date: 3 March 2017

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07240

zbMATH Keywords

matricial Stieltjes moment problem\(\alpha\)-Schur algorithm\(\alpha\)-Stieltjes non-negative definite extendable sequences

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems (44A60)

Related Items (8)

On an involution in the class of non-negative Hermitian matrix measures on a compact interval ⋮ Parametrization of the Solution Set of a Matricial Truncated Hamburger Moment Problem by a Schur Type Algorithm ⋮ On the truncated matricial Stieltjes moment problem \(\mathsf{M} [[\alpha, \infty);(s_j)_{j = 0}^m, \leq\)] ⋮ Schur analysis of matricial Hausdorff moment sequences ⋮ On resolvent matrix, Dyukarev-Stieltjes parameters and orthogonal matrix polynomials via \([0, \infty)\)-Stieltjes transformed sequences ⋮ A Closer Look at the Solution Set of the Truncated Matricial Moment Problem "Equation missing" ⋮ A Schur-Nevanlinna type algorithm for the truncated matricial Hausdorff moment problem ⋮ Matricial canonical moments and parametrization of matricial Hausdorff moment sequences

Cites Work

• On truncated matricial Stieltjes type moment problems
• On Hankel nonnegative definite sequences, the canonical Hankel parametrization, and orthogonal matrix polynomials
• On a general moment problem on the half axis
• On distinguished solutions of truncated matricial Hamburger moment problems
• Indeterminacy criteria for the Stieltjes matrix moment problem
• The Schur-Potapov algorithm for sequences of complex \(p\times q\) matrices. II
• The classical moment problem as a self-adjoint finite difference operator
• The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions
• A unified treatment for the matrix Stieltjes moment problem.
• Degenerate Stieltjes moment problem and associated \(J\)-inner polynomials
• On an operator approach to interpolation problems for Stieltjes functions
• Transformations of matricial \({\alpha}\)-Stieltjes non-negative definite sequences
• On matrix‐valued Herglotz‐Nevanlinna functions with an emphasis on particular subclasses
• On the Concept of Invertibility for Sequences of Complex $$ p \times q $$ -matrices and its Application to Holomorphic $$ p \times q $$ -matrix-valued Functions
• On a Schur-type Algorithm for Sequences of Complex $${p} \times{q} $$ -matrices and its Interrelations with the Canonical Hankel Parametrization
• On a Special Parametrization of Matricial α-Stieltjes One-sided Non-negative Definite Sequences
• On a Simultaneous Approach to the Even and Odd Truncated Matricial Hamburger Moment Problems
• Investigations about continued fractions (reprint)
• A unified treatment for the matrix Stieltjes moment problem in both nondegenerate and degenerate cases
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