{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:MRTZE5AUX65R6UF2FN56GXOXLN","short_pith_number":"pith:MRTZE5AU","schema_version":"1.0","canonical_sha256":"6467927414bfbb1f50ba2b7be35dd75b468379763b3edbb81e45aeb81f641764","source":{"kind":"arxiv","id":"1306.6937","version":2},"attestation_state":"computed","paper":{"title":"Local convergence of inexact Gauss-Newton like methods for injective-overdetermined systems of equations under a majorant condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"M.L.N. Goncalves","submitted_at":"2013-06-28T19:37:32Z","abstract_excerpt":"In this paper, inexact Gauss-Newton like methods for solving injective-overdetermined systems of equations are studied. We use a majorant condition, defined by a function whose derivative is not necessarily convex, to extend and improve several existing results on the local convergence of the Gauss-Newton methods.In particular, this analysis guarantees the convergence of the methods for two important new cases."},"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":"1306.6937","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-06-28T19:37:32Z","cross_cats_sorted":[],"title_canon_sha256":"b835ade6ca03c955bc4a2e62d88ff1be0c39d1f67ee2817f000cf78180c20988","abstract_canon_sha256":"bb2c3c0b3ae504c63d99a14a222c4cb8acff8c11f386e5b11f0bcc6ea81ace0a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:48.253519Z","signature_b64":"hiigWLx6ueJxbhbUL1HcjuavFIS2zzxdZoPVPVBq/Eu0WNRPaUZvbO8op6cLZjkn8fe/G+Sasgau61e7LpFUDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6467927414bfbb1f50ba2b7be35dd75b468379763b3edbb81e45aeb81f641764","last_reissued_at":"2026-05-18T02:31:48.252587Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:48.252587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local convergence of inexact Gauss-Newton like methods for injective-overdetermined systems of equations under a majorant condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"M.L.N. Goncalves","submitted_at":"2013-06-28T19:37:32Z","abstract_excerpt":"In this paper, inexact Gauss-Newton like methods for solving injective-overdetermined systems of equations are studied. We use a majorant condition, defined by a function whose derivative is not necessarily convex, to extend and improve several existing results on the local convergence of the Gauss-Newton methods.In particular, this analysis guarantees the convergence of the methods for two important new cases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.6937","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":"1306.6937","created_at":"2026-05-18T02:31:48.252746+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.6937v2","created_at":"2026-05-18T02:31:48.252746+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.6937","created_at":"2026-05-18T02:31:48.252746+00:00"},{"alias_kind":"pith_short_12","alias_value":"MRTZE5AUX65R","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_16","alias_value":"MRTZE5AUX65R6UF2","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_8","alias_value":"MRTZE5AU","created_at":"2026-05-18T12:27:52.871228+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/MRTZE5AUX65R6UF2FN56GXOXLN","json":"https://pith.science/pith/MRTZE5AUX65R6UF2FN56GXOXLN.json","graph_json":"https://pith.science/api/pith-number/MRTZE5AUX65R6UF2FN56GXOXLN/graph.json","events_json":"https://pith.science/api/pith-number/MRTZE5AUX65R6UF2FN56GXOXLN/events.json","paper":"https://pith.science/paper/MRTZE5AU"},"agent_actions":{"view_html":"https://pith.science/pith/MRTZE5AUX65R6UF2FN56GXOXLN","download_json":"https://pith.science/pith/MRTZE5AUX65R6UF2FN56GXOXLN.json","view_paper":"https://pith.science/paper/MRTZE5AU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.6937&json=true","fetch_graph":"https://pith.science/api/pith-number/MRTZE5AUX65R6UF2FN56GXOXLN/graph.json","fetch_events":"https://pith.science/api/pith-number/MRTZE5AUX65R6UF2FN56GXOXLN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MRTZE5AUX65R6UF2FN56GXOXLN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MRTZE5AUX65R6UF2FN56GXOXLN/action/storage_attestation","attest_author":"https://pith.science/pith/MRTZE5AUX65R6UF2FN56GXOXLN/action/author_attestation","sign_citation":"https://pith.science/pith/MRTZE5AUX65R6UF2FN56GXOXLN/action/citation_signature","submit_replication":"https://pith.science/pith/MRTZE5AUX65R6UF2FN56GXOXLN/action/replication_record"}},"created_at":"2026-05-18T02:31:48.252746+00:00","updated_at":"2026-05-18T02:31:48.252746+00:00"}