Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.21617 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918221019348992 |
|---|---|
| author | van der Kamp, Peter H. Overmars, Anthony Jackson, Marcel Hone, Andrew |
| author_facet | van der Kamp, Peter H. Overmars, Anthony Jackson, Marcel Hone, Andrew |
| contents | We provide efficient algorithms to compute convergents of quadratic irrationals. We show that for square roots, provided Galois' refinement of Lagrange's theorem holds, certain decimations of the sequence of convergents are signed Chebyshev sequences, which can be also be generated by a Householder method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_21617 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On efficient approximation of quadratic irrationals van der Kamp, Peter H. Overmars, Anthony Jackson, Marcel Hone, Andrew Number Theory We provide efficient algorithms to compute convergents of quadratic irrationals. We show that for square roots, provided Galois' refinement of Lagrange's theorem holds, certain decimations of the sequence of convergents are signed Chebyshev sequences, which can be also be generated by a Householder method. |
| title | On efficient approximation of quadratic irrationals |
| topic | Number Theory |
| url | https://arxiv.org/abs/2511.21617 |