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
Depends: R (≥ 2.01)
Imports: stats, graphics, grDevices
Published: 2019-12-19
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>
License: GPL-2 | GPL-3 [expanded from: GPL (≥ 2)]
NeedsCompilation: yes
Citation: rootSolve citation info
In views: DifferentialEquations, NumericalMathematics
CRAN checks: rootSolve results


Reference manual: rootSolve.pdf
Vignettes: roots, gradients and steady-states in R
Package source: rootSolve_1.8.2.tar.gz
Windows binaries: r-prerelease:, r-release:, r-oldrel:
macOS binaries: r-prerelease: rootSolve_1.8.2.tgz, r-release: rootSolve_1.8.2.tgz, r-oldrel: rootSolve_1.8.2.tgz
Old sources: rootSolve archive

Reverse dependencies:

Reverse depends: AdvBinomApps, diffdepprop, ecolMod, eel, errint, FME, GSED, kmc, NORMA, PriorGen, ProbYX, prop.comb.RR, ReacTran, rtip, weightedScores
Reverse imports: addhazard, BAMBI, BayesCR, BivUnifBin, clordr, clusteredinterference, condGEE, dMod, eggCounts, equivalenceTest, fbati, FPDclustering, geex, givitiR, GWASbyCluster, INSPEcT, iZID, ktsolve, LLSR, loewesadditivity, mdpeer, multimode, munsellinterpol, optinterv, pbatR, RadTran, Recon, rodd, rpsftm, sdprisk, SmartSifter, snfa, StMoMo, Surrogate, temperatureresponse, trawl, UncertainInterval, zFactor
Reverse suggests: assocInd, colorSpec, epimdr, island, rodeo


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