{"paper":{"title":"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","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Bernd Fritzsche, Bernd Kirstein, Conrad M\\\"adler","submitted_at":"2016-04-25T13:11:44Z","abstract_excerpt":"The characterization of the solvability of matrix versions of truncated Stieltjes-type moment problems led to the class of $\\alpha$-Stieltjes non-negative definite sequences of complex $q \\times q$ matrices. In [21], a parametrization of this class was introduced, the so-called $\\alpha$-Stieltjes parametrization. The main topic of this first part of the paper is the construction of a Schur-type algorithm which produces exactly the $\\alpha$-Stieltjes parametrization."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07240","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}