rootSolve: Nonlinear Root Finding, Equilibrium and Steady-State Analysis of Ordinary Differential Equations

Routines to find the root of nonlinear functions, and to perform steady-state and equilibrium analysis of ordinary differential equations (ODE). Includes routines that: (1) generate gradient and jacobian matrices (full and banded), (2) find roots of non-linear equations by the 'Newton-Raphson' method, (3) estimate steady-state conditions of a system of (differential) equations in full, banded or sparse form, using the 'Newton-Raphson' method, or by dynamically running, (4) solve the steady-state conditions for uni-and multicomponent 1-D, 2-D, and 3-D partial differential equations, that have been converted to ordinary differential equations by numerical differencing (using the method-of-lines approach). Includes fortran code.

Version:	1.8.2.4
Depends:	R (≥ 2.01)
Imports:	stats, graphics, grDevices
Published:	2023-09-21
DOI:	10.32614/CRAN.package.rootSolve
Author:	Karline Soetaert [aut, cre], Alan C. Hindmarsh [ctb] (files lsodes.f, sparse.f), S.C. Eisenstat [ctb] (file sparse.f), Cleve Moler [ctb] (file dlinpk.f), Jack Dongarra [ctb] (file dlinpk.f), Youcef Saad [ctb] (file dsparsk.f)
Maintainer:	Karline Soetaert <karline.soetaert at nioz.nl>
License:	GPL-2 | GPL-3 [expanded from: GPL (≥ 2)]
NeedsCompilation:	yes
Citation:	rootSolve citation info
In views:	DifferentialEquations, NumericalMathematics
CRAN checks:	rootSolve results

Documentation:

Reference manual:	rootSolve.html , rootSolve.pdf
Vignettes:	roots, gradients and steady-states in R (source, R code)

Downloads:

Package source:	rootSolve_1.8.2.4.tar.gz
Windows binaries:	r-devel: rootSolve_1.8.2.4.zip, r-release: rootSolve_1.8.2.4.zip, r-oldrel: rootSolve_1.8.2.4.zip
macOS binaries:	r-release (arm64): rootSolve_1.8.2.4.tgz, r-oldrel (arm64): rootSolve_1.8.2.4.tgz, r-release (x86_64): rootSolve_1.8.2.4.tgz, r-oldrel (x86_64): rootSolve_1.8.2.4.tgz
Old sources:	rootSolve archive

Reverse dependencies:

Reverse depends:	AdvBinomApps, ecolMod, emplikAUC, FME, GSED, kmc, PriorGen, ProbYX, prop.comb.RR, ReacTran, rtip, sephora, weightedCL, weightedScores
Reverse imports:	addhazard, AHSurv, bartcs, BayesCR, bdsm, bets.covid19, BivUnifBin, cemco, CJIVE, clordr, CompAREdesign, condGEE, conf, CoTiMA, crt2power, CureDepCens, deBif, DepCens, DImodels, dMod, dreamer, DRPT, eggCounts, equivalenceTest, Exact, fbati, fitlandr, FPDclustering, frailtypack, FuzzyClass, gammaFuncModel, geeCRT, geex, generalRSS, ghypernet, givitiR, godley, GWASbyCluster, HazardDiff, INSPEcT, iZID, LLSR, loewesadditivity, ludic, mdpeer, MedianaDesigner, mhazard, mixSSG, MRTAnalysis, multimode, munsellinterpol, NovelDistns, OPTtesting, PASSED, pbatR, pmsesampling, PROreg, qgcomp, qgcompint, Recon, reReg, ridgetorus, RMT4DS, rodd, sdprisk, sfcr, skyscapeR, snfa, soilfoodwebs, ssMRCD, STCCGEV, STCYP, StMoMo, temperatureresponse, TempStable, tranSurv, trawl
Reverse suggests:	assocInd, colorSpec, cSEM, epimdr, island, rodeo, rxode2, WeightIt

Linking:

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