{"paper":{"title":"Lower and upper bounds for $H$-eigenvalues of even order real symmetric tensors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Hongwei Jin, Minru Bai, M. Rajesh Kannan","submitted_at":"2015-07-16T13:50:33Z","abstract_excerpt":"In this article, we define new classes of tensors called double $\\overline{B}$-tensors, quasi-double $\\overline{B}$-tensors and establish some of their properties. Using these properties, we construct new regions viz., double $\\overline{B}$-intervals and quasi-double $\\overline{B}$-intervals, which contain all the $H$-eigenvalues of real even order symmetric tensors. We prove that the double $\\overline{B}$-intervals is contained in the quasi-double $\\overline{B}$-intervals and quasi-double ${\\overline{B}}$-intervals provide supplement information on the Brauer-type eigenvalues inclusion set of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.04575","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"}