File:Rho-Lagrange.svg
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Summary
| Description |
English: In cubic Lagrange interpolation, optimal node t and critical point xc are related through xc + t = √ρ, with plastic ratio ρ the real root of x3 = x + 1, t = √ρ/(ρ2 + 1) and xc = ρ2t. The constants can be expressed as geometric series, in which the terms correspond to diagonal lengths of rectangles with edges in ratio ρ2. The diagram shows the sequences for xc (red) and t (green) converge at a single point on the diagonal of a rho-squared rectangle with length √ρ. |
| Date | |
| Source | Own work |
| Author | Zilverspreeuw |
| SVG development |  This vector image was created with a text editor. |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 16:24, 10 January 2025 | | 1,152 × 690 (2 KB) | Zilverspreeuw | Positioning |
| 15:28, 9 January 2025 |  | 1,140 × 700 (2 KB) | Zilverspreeuw | Spacing | |
| 15:21, 9 January 2025 |  | 1,140 × 700 (2 KB) | Zilverspreeuw | Uploaded own work with UploadWizard |
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