6 papers · 1 filter
On the truncated matricial Stieltjes moment problem
Bernd Fritzsche, Bernd Kirstein, Torsten Schröder +1
This paper gives via Stieltjes transform a complete description of the solution set of a matricial truncated Stieltjes-type power moment problem in the non-degenerate and degenerat…
On the structure of Hausdorff moment sequences of complex matrices
Bernd Fritzsche, Bernd Kirstein, Conrad Mädler
The paper treats several aspects of the truncated matricial -Hausdorff type moment problems. It is shown that each -Hausdorff moment sequence has a particular intrins…
On a Simultaneous Approach to the Even and Odd Truncated Matricial Stieltjes Moment Problem II. An -Schur-Stieltjes-type algorithm for sequences of holomorphic matrix-valued functions
Bernd Fritzsche, Bernd Kirstein, Conrad Mädler
The main goal of this paper is to achieve a simultaneous treatment of the even and odd truncated matricial Stieltjes moment problems in the most general case. These results are gen…
On a Simultaneous Approach to the Even and Odd Truncated Matricial Stieltjes Moment Problem I: An -Schur-Stieltjes-type algorithm for sequences of complex matrices
Bernd Fritzsche, Bernd Kirstein, Conrad Mädler
The characterization of the solvability of matrix versions of truncated Stieltjes-type moment problems led to the class of -Stieltjes non-negative definite sequences of complex…
On Matrix-Valued Stieltjes Functions with an Emphasis on Particular Subclasses
Bernd Fritzsche, Bernd Kirstein, Conrad Mädler
The paper deals with particular classes of matrix-valued functions which are holomorphic in , where is an arbitrary real number. The…
On a Simultaneous Approach to the Even and Odd Truncated Matricial Hamburger Moment Problems
Bernd Fritzsche, Bernd Kirstein, Conrad Mädler
The main goal of this paper is to achieve a simultaneous treatment of the even and odd truncated matricial Hamburger moment problems in the most general case. In the odd case, thes…