> I have implemented the Zimmermann's square root algorithm, available in works > [here](https://inria.hal.science/inria-00072854/en/) and > [here](https://www.researchgate.net/publication/220532560_A_proof_of_GMP_square_root). > > The algorithm is proved to be asymptotically faster than the Newton's Method, > even for small numbers. To get an idea of how much the Newton's Method is > slow, consult my article [here](https://arxiv.org/abs/2406.07751), in which > I compare Newton's Method with a version of classical square root algorithm > that I implemented. After implementing Zimmermann's algorithm, it turns out > that it is faster than my algorithm even for small numbers.
fabioromano1 has updated the pull request incrementally with one additional commit since the last revision: Simplified computing square root of BigDecimal using BigInteger.sqrt() ------------- Changes: - all: https://git.openjdk.org/jdk/pull/19710/files - new: https://git.openjdk.org/jdk/pull/19710/files/203d3f67..d90c5963 Webrevs: - full: https://webrevs.openjdk.org/?repo=jdk&pr=19710&range=14 - incr: https://webrevs.openjdk.org/?repo=jdk&pr=19710&range=13-14 Stats: 179 lines in 1 file changed: 29 ins; 115 del; 35 mod Patch: https://git.openjdk.org/jdk/pull/19710.diff Fetch: git fetch https://git.openjdk.org/jdk.git pull/19710/head:pull/19710 PR: https://git.openjdk.org/jdk/pull/19710