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GALAHAD: Geometry-Adaptive Lyapunov-Assured Hybrid Optimizer

Implements the GALAHAD algorithm (Geometry-Adaptive 'Lyapunov'-Assured Hybrid Optimizer), combining 'Riemannian' metrics, 'Lyapunov' stability checks, and trust-region methods for stable optimization of mixed-geometry parameters. Designed for biological modeling (germination, dose-response, survival) where rates, concentrations, and unconstrained variables coexist. Developed at the Minnesota Center for Prion Research and Outreach (MNPRO), University of Minnesota. Based on Conn et al. (2000) <doi:10.1137/1.9780898719857>, Amari (1998) <doi:10.1162/089976698300017746>, Beck & Teboulle (2003) <doi:10.1016/S0167-6377(02)00231-6>, Nesterov (2017) <https://www.jstor.org/stable/resrep30722>, and Walne et al. (2020) <doi:10.1002/agg2.20098>.

Version: 1.0.0
Depends: R (≥ 4.2.0)
Imports: stats
Suggests: testthat (≥ 3.0.0)
Published: 2025-11-07
DOI: 10.32614/CRAN.package.GALAHAD
Author: Richard A. Feiss ORCID iD [aut, cre]
Maintainer: Richard A. Feiss <feiss026 at umn.edu>
License: MIT + file LICENSE
NeedsCompilation: no
Citation: GALAHAD citation info
Materials: README, NEWS
CRAN checks: GALAHAD results

Documentation:

Reference manual: GALAHAD.html , GALAHAD.pdf

Downloads:

Package source: GALAHAD_1.0.0.tar.gz
Windows binaries: r-devel: GALAHAD_1.0.0.zip, r-release: GALAHAD_1.0.0.zip, r-oldrel: GALAHAD_1.0.0.zip
macOS binaries: r-release (arm64): GALAHAD_1.0.0.tgz, r-oldrel (arm64): GALAHAD_1.0.0.tgz, r-release (x86_64): GALAHAD_1.0.0.tgz, r-oldrel (x86_64): GALAHAD_1.0.0.tgz

Linking:

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These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.