Triple
T6833242
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Successive Over-Relaxation |
E157387
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
Successive Under-Relaxation
Successive Under-Relaxation is a numerical technique for iteratively solving linear systems that deliberately uses a relaxation factor less than one to slow updates and improve stability or convergence in certain problems.
|
E621091
|
NE FINISHED |
How this triple was built (4 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Successive Under-Relaxation | Statement: [Successive Over-Relaxation, relatedTo, Successive Under-Relaxation]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Successive Under-Relaxation Context triple: [Successive Over-Relaxation, relatedTo, Successive Under-Relaxation]
-
A.
Successive Over-Relaxation
Successive Over-Relaxation is an iterative numerical method that accelerates the convergence of the Gauss–Seidel algorithm for solving large systems of linear equations by introducing a relaxation factor.
-
B.
Gauss–Seidel method
The Gauss–Seidel method is an iterative numerical technique used to solve systems of linear equations, particularly in large, sparse problems arising in scientific and engineering computations.
-
C.
Richardson iteration
Richardson iteration is an early iterative method for solving linear systems and other operator equations, based on repeated relaxation steps to progressively improve an approximate solution.
-
D.
Jacobi method
The Jacobi method is an iterative numerical algorithm used to solve systems of linear equations by repeatedly updating each variable using values from the previous iteration.
-
E.
Picard iteration
Picard iteration is a successive approximation method used to construct solutions to ordinary differential equations and establish their existence and uniqueness.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Successive Under-Relaxation Triple: [Successive Over-Relaxation, relatedTo, Successive Under-Relaxation]
Generated description
Successive Under-Relaxation is a numerical technique for iteratively solving linear systems that deliberately uses a relaxation factor less than one to slow updates and improve stability or convergence in certain problems.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Successive Under-Relaxation Target entity description: Successive Under-Relaxation is a numerical technique for iteratively solving linear systems that deliberately uses a relaxation factor less than one to slow updates and improve stability or convergence in certain problems.
-
A.
Successive Over-Relaxation
Successive Over-Relaxation is an iterative numerical method that accelerates the convergence of the Gauss–Seidel algorithm for solving large systems of linear equations by introducing a relaxation factor.
-
B.
Gauss–Seidel method
The Gauss–Seidel method is an iterative numerical technique used to solve systems of linear equations, particularly in large, sparse problems arising in scientific and engineering computations.
-
C.
Richardson iteration
Richardson iteration is an early iterative method for solving linear systems and other operator equations, based on repeated relaxation steps to progressively improve an approximate solution.
-
D.
Jacobi method
The Jacobi method is an iterative numerical algorithm used to solve systems of linear equations by repeatedly updating each variable using values from the previous iteration.
-
E.
Picard iteration
Picard iteration is a successive approximation method used to construct solutions to ordinary differential equations and establish their existence and uniqueness.
- F. None of above. chosen
Provenance (5 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69c6882c53608190b99aebef079b23bd |
completed | March 27, 2026, 1:37 p.m. |
| NER | Named-entity recognition | batch_69c6d62b1e8c8190a81d91191a54b073 |
completed | March 27, 2026, 7:10 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c723fd50c88190af005fd58ca0aee6 |
completed | March 28, 2026, 12:42 a.m. |
| NEDg | Description generation | batch_69c7247806808190ac60c134cec612c8 |
completed | March 28, 2026, 12:44 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69c7253b94f081909e7cee870a12af6b |
completed | March 28, 2026, 12:47 a.m. |
Created at: March 27, 2026, 2:18 p.m.