{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:XDLE563GTIU274DQUOOFFXFIFA","short_pith_number":"pith:XDLE563G","schema_version":"1.0","canonical_sha256":"b8d64efb669a29aff070a39c52dca8282b79b91d4a6f51cf72e2d224dac1af86","source":{"kind":"arxiv","id":"1706.00596","version":2},"attestation_state":"computed","paper":{"title":"An efficient global optimization algorithm for maximizing the sum of two generalized Rayleigh quotients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Longfei Wang, Xiaohui Wang, Yong Xia","submitted_at":"2017-06-02T09:01:15Z","abstract_excerpt":"Maximizing the sum of two generalized Rayleigh quotients (SRQ) can be reformulated as a one-dimensional optimization problem, where the function value evaluations are reduced to solving semi-definite programming (SDP) subproblems. In this paper, we first use the dual SDP subproblem to construct an explicit overestimation and then propose a branch-and-bound algorithm to globally solve (SRQ). Numerical results demonstrate that it is even more efficient than the recent SDP-based heuristic algorithm."},"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":"1706.00596","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-06-02T09:01:15Z","cross_cats_sorted":[],"title_canon_sha256":"74aa9101671f21b29130f1f9b6ac4cb9c4e44b5189b8a3864957da58ee1d212a","abstract_canon_sha256":"10df9da351105288be2fffac37bab5a99923cc82a01395f6d18535f362527df8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:46.151228Z","signature_b64":"7SQb95rN13Y9QW2FcukvWIF17ySI2r4gwCznXgjANUM3z2fVXpSGkS45B4ioIuLIGl2Gs2lqi4n1g1f4jvXIBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8d64efb669a29aff070a39c52dca8282b79b91d4a6f51cf72e2d224dac1af86","last_reissued_at":"2026-05-18T00:26:46.150559Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:46.150559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An efficient global optimization algorithm for maximizing the sum of two generalized Rayleigh quotients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Longfei Wang, Xiaohui Wang, Yong Xia","submitted_at":"2017-06-02T09:01:15Z","abstract_excerpt":"Maximizing the sum of two generalized Rayleigh quotients (SRQ) can be reformulated as a one-dimensional optimization problem, where the function value evaluations are reduced to solving semi-definite programming (SDP) subproblems. In this paper, we first use the dual SDP subproblem to construct an explicit overestimation and then propose a branch-and-bound algorithm to globally solve (SRQ). Numerical results demonstrate that it is even more efficient than the recent SDP-based heuristic algorithm."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.00596","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1706.00596","created_at":"2026-05-18T00:26:46.150665+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.00596v2","created_at":"2026-05-18T00:26:46.150665+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.00596","created_at":"2026-05-18T00:26:46.150665+00:00"},{"alias_kind":"pith_short_12","alias_value":"XDLE563GTIU2","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"XDLE563GTIU274DQ","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"XDLE563G","created_at":"2026-05-18T12:31:53.515858+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XDLE563GTIU274DQUOOFFXFIFA","json":"https://pith.science/pith/XDLE563GTIU274DQUOOFFXFIFA.json","graph_json":"https://pith.science/api/pith-number/XDLE563GTIU274DQUOOFFXFIFA/graph.json","events_json":"https://pith.science/api/pith-number/XDLE563GTIU274DQUOOFFXFIFA/events.json","paper":"https://pith.science/paper/XDLE563G"},"agent_actions":{"view_html":"https://pith.science/pith/XDLE563GTIU274DQUOOFFXFIFA","download_json":"https://pith.science/pith/XDLE563GTIU274DQUOOFFXFIFA.json","view_paper":"https://pith.science/paper/XDLE563G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.00596&json=true","fetch_graph":"https://pith.science/api/pith-number/XDLE563GTIU274DQUOOFFXFIFA/graph.json","fetch_events":"https://pith.science/api/pith-number/XDLE563GTIU274DQUOOFFXFIFA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XDLE563GTIU274DQUOOFFXFIFA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XDLE563GTIU274DQUOOFFXFIFA/action/storage_attestation","attest_author":"https://pith.science/pith/XDLE563GTIU274DQUOOFFXFIFA/action/author_attestation","sign_citation":"https://pith.science/pith/XDLE563GTIU274DQUOOFFXFIFA/action/citation_signature","submit_replication":"https://pith.science/pith/XDLE563GTIU274DQUOOFFXFIFA/action/replication_record"}},"created_at":"2026-05-18T00:26:46.150665+00:00","updated_at":"2026-05-18T00:26:46.150665+00:00"}