{"paper":{"title":"On Some Inverse Eigenvalue Problems of Quadratic Palindromic Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Jiang Qian, Yunfeng Cai","submitted_at":"2016-06-13T07:17:27Z","abstract_excerpt":"This paper concerns some inverse eigenvalue problems of the quadratic $\\star$-(anti)-palindromic system $Q(\\lambda)=\\lambda^2 A_1^{\\star}+\\lambda A_0 + \\epsilon A_1$, where $\\epsilon=\\pm 1$, $A_1, A_0 \\in \\mathbb{C}^{n\\times n}$, $A_0^{\\star}=\\epsilon A_0$, $A_1$ is nonsingular, and the symbol $\\star$ is used as an abbreviation for transpose for real matrices and either transpose or conjugate transpose for complex matrices. By using the spectral decomposition of the quadratic $\\star$-(anti)-palindromic system, the inverse eigenvalue problems with entire/partial eigenpairs given, and the model "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03840","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"}