stationary iterative method
C21314
concept
A stationary iterative method is a numerical algorithm for solving linear systems that repeatedly updates an approximate solution using a fixed iteration matrix and rule that do not change between iterations.
All labels observed (3)
| Label | Occurrences |
|---|---|
| higher-order Newton-like method | 1 |
| iterative optimization method | 1 |
| stationary iterative method canonical | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: stationary iterative method
Generated description
A stationary iterative method is a numerical algorithm for solving linear systems that repeatedly updates an approximate solution using a fixed iteration matrix and rule that do not change between iterations.
Instances (3)
| Instance | Via concept surface |
|---|---|
| Successive Over-Relaxation | — |
| Halley’s method for solving equations | higher-order Newton-like method |
| Lloyd’s algorithm | iterative optimization method |