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That is, for a strictly copositive symmetric tensor $\\mathcal{A}$, the tensor "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1502.02209","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-02-08T05:29:55Z","cross_cats_sorted":[],"title_canon_sha256":"002636b7509c77f99be67114a228df6efb1f31853ab5251add4d2534934d36f5","abstract_canon_sha256":"43c18467309761ac25c26cab20707754be2834d693072b438e892243906b94a6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:43.328645Z","signature_b64":"TPEYLb3VLZq8RA6+nvy59CGXJI6Yqs0E4fMSHts604ztTgrjfJH8CiFuMOLgnLvaKC1e2SkeUeRdsdjdcamfDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7cffe692ca43ccea9117174596453645cabd2c2685db85dbb507f38e812a519b","last_reissued_at":"2026-05-18T02:27:43.328131Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:43.328131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tensor Complementarity Problem and Semi-positive Tensors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Liqun Qi, Yisheng Song","submitted_at":"2015-02-08T05:29:55Z","abstract_excerpt":"The tensor complementarity problem $(\\q, \\mathcal{A})$ is to\n  $$\\mbox{ find } \\x \\in \\mathbb{R}^n\\mbox{ such that }\\x \\geq \\0, \\q + \\mathcal{A}\\x^{m-1} \\geq \\0, \\mbox{ and }\\x^\\top (\\q + \\mathcal{A}\\x^{m-1}) = 0.$$ We prove that a real tensor $\\mathcal{A}$ is a (strictly) semi-positive tensor if and only if the tensor complementarity problem $(\\q, \\mathcal{A})$ has a unique solution for $\\q>\\0$ ($\\q\\geq\\0$), and a symmetric real tensor is a (strictly) semi-positive tensor if and only if it is (strictly) copositive. 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