{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:3CQ65F7N3II5N6BRJ6VIUSI4KR","short_pith_number":"pith:3CQ65F7N","schema_version":"1.0","canonical_sha256":"d8a1ee97edda11d6f8314faa8a491c545102836cb8fff8330a42794d3d14fe77","source":{"kind":"arxiv","id":"1402.5480","version":1},"attestation_state":"computed","paper":{"title":"On semi-convergence of generalized skew-Hermitian triangular splitting iteration methods for singular saddle-point problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Ai-Li Yang, Yan Dou, Yu-Jiang Wu","submitted_at":"2014-02-22T05:04:55Z","abstract_excerpt":"Recently, Krukier et al. [Generalized skew-Hermitian triangular splitting iteration methods for saddle-point linear systems, Numer. Linear Algebra Appl. 21 (2014) 152-170] proposed an efficient generalized skew-Hermitian triangular splitting (GSTS) iteration method for nonsingular saddle-point linear systems with strong skew-Hermitian parts. In this work, we further use the GSTS method to solve singular saddle-point problems. The semi-convergence properties of GSTS method are analyzed by using singular value decomposition and Moore-Penrose inverse, under suitable restrictions on the involved i"},"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":"1402.5480","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-02-22T05:04:55Z","cross_cats_sorted":[],"title_canon_sha256":"034f517ed88847867b112221009bde8e7d205e26f7092c1273ef3811dd046f0f","abstract_canon_sha256":"2b770ac79cbf5f2137f4f6a444e83a82f1e3593252fbd91b617465d4d5156ca4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:21.017184Z","signature_b64":"tiqseqgEfUsA7QUTvduC3Igsj7dBlVOWN5zAq+VpZaSEPH2xZITqW0Hq9PFoJcDT1/xpKoN+VdEIsc9KgcO9DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8a1ee97edda11d6f8314faa8a491c545102836cb8fff8330a42794d3d14fe77","last_reissued_at":"2026-05-18T02:58:21.016669Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:21.016669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On semi-convergence of generalized skew-Hermitian triangular splitting iteration methods for singular saddle-point problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Ai-Li Yang, Yan Dou, Yu-Jiang Wu","submitted_at":"2014-02-22T05:04:55Z","abstract_excerpt":"Recently, Krukier et al. [Generalized skew-Hermitian triangular splitting iteration methods for saddle-point linear systems, Numer. Linear Algebra Appl. 21 (2014) 152-170] proposed an efficient generalized skew-Hermitian triangular splitting (GSTS) iteration method for nonsingular saddle-point linear systems with strong skew-Hermitian parts. In this work, we further use the GSTS method to solve singular saddle-point problems. The semi-convergence properties of GSTS method are analyzed by using singular value decomposition and Moore-Penrose inverse, under suitable restrictions on the involved i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5480","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1402.5480","created_at":"2026-05-18T02:58:21.016751+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.5480v1","created_at":"2026-05-18T02:58:21.016751+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5480","created_at":"2026-05-18T02:58:21.016751+00:00"},{"alias_kind":"pith_short_12","alias_value":"3CQ65F7N3II5","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"3CQ65F7N3II5N6BR","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"3CQ65F7N","created_at":"2026-05-18T12:28:11.866339+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/3CQ65F7N3II5N6BRJ6VIUSI4KR","json":"https://pith.science/pith/3CQ65F7N3II5N6BRJ6VIUSI4KR.json","graph_json":"https://pith.science/api/pith-number/3CQ65F7N3II5N6BRJ6VIUSI4KR/graph.json","events_json":"https://pith.science/api/pith-number/3CQ65F7N3II5N6BRJ6VIUSI4KR/events.json","paper":"https://pith.science/paper/3CQ65F7N"},"agent_actions":{"view_html":"https://pith.science/pith/3CQ65F7N3II5N6BRJ6VIUSI4KR","download_json":"https://pith.science/pith/3CQ65F7N3II5N6BRJ6VIUSI4KR.json","view_paper":"https://pith.science/paper/3CQ65F7N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.5480&json=true","fetch_graph":"https://pith.science/api/pith-number/3CQ65F7N3II5N6BRJ6VIUSI4KR/graph.json","fetch_events":"https://pith.science/api/pith-number/3CQ65F7N3II5N6BRJ6VIUSI4KR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3CQ65F7N3II5N6BRJ6VIUSI4KR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3CQ65F7N3II5N6BRJ6VIUSI4KR/action/storage_attestation","attest_author":"https://pith.science/pith/3CQ65F7N3II5N6BRJ6VIUSI4KR/action/author_attestation","sign_citation":"https://pith.science/pith/3CQ65F7N3II5N6BRJ6VIUSI4KR/action/citation_signature","submit_replication":"https://pith.science/pith/3CQ65F7N3II5N6BRJ6VIUSI4KR/action/replication_record"}},"created_at":"2026-05-18T02:58:21.016751+00:00","updated_at":"2026-05-18T02:58:21.016751+00:00"}