A Proposal of a Mathematical Roadmap for Scilab DRAFT - Projects

– 15 functions for 1D, 2D or 3D interpolation– linear interpolation with interpln– spline interpolation with splinWe emphasize that several toolboxes are available which are useful complements tothe built-in functions.• the Forge/Atoms Quapro Toolbox http://forge.scilab.org/index.php/p/quapro/ which provides linear and linear quadratic optimization solvers.• the Forge/Atoms Integration Problems Toolbox http://forge.scilab.org/index.php/p/intprbs which provides 23 test problems for multi-dimensionnalintegration.• the Forge/Atoms CUTEr Toolbox http://forge.scilab.org/index.php/p/cuter/ which provides test problems for nonlinear optimization optimization.• the Forge/Atoms Unconstrained Optimization Problem Toolbox http://forge.scilab.org/index.php/p/uncprb/ which provides test problems for unconstrainedoptimization.2.2.2 LibrariesThe libraries which are providing the classic computational features in Scilab arethe following.• Quadpack: http://www.netlib.org/quadpack, a package for the numericalcomputation of definite one-dimensional integrals.• Odepack: http://www.netlib.org/odepack, a collection of Fortran solversfor the initial value problem for ordinary differential equation systems.• Modulopt: http://www-rocq.inria.fr/~gilbert/modulopt/, a collectionof optimization solvers.• Minpack: http://www.netlib.org/minpack/, a Fortran 77 code for solvingnonlinear equations and nonlinear least squares problems.• Dcdflib: http://www.netlib.org/random/, a Fortran 77 code for cumulativedistribution functions, inverses, and parameters.• Many macros: e.g. derivative2.2.3 Strong pointsIn this section, we describe the main advantages of using the classic features ofScilab.• Accurate algorithms: floating point aware.• Flexible functions: can drive either Scilab-defined or external codes in C orFortran.• Robust algorithms: most algorithms are used for decades.16