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Posted to dev@commons.apache.org by Apache Wiki <wi...@apache.org> on 2005/07/05 19:44:22 UTC
[Jakarta-commons Wiki] Update of "MathWishList" by PhilSteitz
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The following page has been changed by PhilSteitz:
http://wiki.apache.org/jakarta-commons/MathWishList
The comment on the change is:
Added high-level SoC breakout
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* Provide FFT's. -- AlChou
* do full implementation like [http://www.fftw.org/ FFTW] -- AlexGraesser
* [[Anchor(summerofcode)]] Numerical Enhancements (Summer of Code Proposal)
- * performance tuning for matrix computation and add more decomposition methods
- * univariate integration (Romberg is what I have in mind)
- * true polynomial interpolation (as opposed to spline)
- * rational function interpolation
- * univariate minimization
- * robust derivative-free multidimensional optimization (downhill simplex)
- * B-spline
- * ODE solver
+ * Du Li
+ * an approximation package, with an emphasis on the support for B-splines, which is used to approximate curves in general, given a set of points on the curve.
+ * generic PDE/ODE solvers, with built-in support for Poisson/heat/wave equations.
+ * an optimization package, including linear programming (simplex method, later also interior point method), quadratic programming, nonlinear unconstraint/constraint minimization, later will also include search methods including genetic programming.
+ * a simulation package, to provide a framework for running (Quasi)Monte-Carlo simulations
+ * James Stephenson
+ * Compressed Matrix Storage classes for Diagonal and Sparse Matricies.
+ * Advanced Matrix Decomposition Methods including Singular Value Decomposition, Q-R Factorization, and L-U Decomposition.
+ * Advanced Matrix Solvers including Gauss-Jordan, Gauss-Seidel, the Jacobi solver, and the Relaxation method.
+ * Matrix Functions optimized for Sparse and Compressed format for existing and newly developed functions.
+ * Xiaogang Zhang
+ * Integration and Quadrature
+ * Interpolation and Extrapolation
+ * Root Finding (add Ridder's method, Muller's method, Laguerre's method.)
+ * Fast Fourier Transform
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