# rootSolve v1.8.2.1

Monthly downloads

## 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.

## Functions in rootSolve

Name | Description | |

rootSolve-package | Roots and steady-states | |

multiroot.1D | Solves for n roots of n (nonlinear) equations, created by discretizing ordinary differential equations. | |

hessian | Estimates the hessian matrix | |

gradient | Estimates the gradient matrix for a simple function | |

plot.steady1D | Plot and Summary Method for steady1D, steady2D and steady3D Objects | |

multiroot | Solves for n roots of n (nonlinear) equations. | |

steady.1D | Steady-state solver for multicomponent 1-D ordinary differential equations | |

runsteady | Dynamically runs a system of ordinary differential equations (ODE) to steady-state | |

jacobian.band | Banded jacobian matrix for a system of ODEs (ordinary differential equations) | |

stode | Iterative steady-state solver for ordinary differential equations (ODE) and a full or banded Jacobian. | |

stodes | Steady-state solver for ordinary differential equations (ODE) with a sparse jacobian. | |

uniroot.all | Finds many (all) roots of one equation within an interval | |

steady.band | Steady-state solver for ordinary differential equations; assumes a banded jacobian | |

steady | General steady-state solver for a set of ordinary differential equations. | |

steady.2D | Steady-state solver for 2-Dimensional ordinary differential equations | |

jacobian.full | Full square jacobian matrix for a system of ODEs (ordinary differential equations) | |

steady.3D | Steady-state solver for 3-Dimensional ordinary differential equations | |

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## Vignettes of rootSolve

Name | ||

rootSolve.Rnw | ||

vignettes.bib | ||

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## Last month downloads

## Details

License | GPL (>= 2) |

LazyData | yes |

NeedsCompilation | yes |

Packaged | 2020-04-25 08:14:33 UTC; karlines |

Repository | CRAN |

Date/Publication | 2020-04-27 16:40:02 UTC |

imports | graphics , grDevices , stats |

depends | R (>= 2.01) |

Contributors | Alan C. Hindmarsh, Cleve Moler, Jack Dongarra, S.C. Eisenstat, Youcef Saad |

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