Simplex Algorithm

SimplexNumerica provides the following algorithm:

Regression

  • Linear Least Squares Fit
  • Exponential Least Squares Fit
  • Logarithmic Least Squares Fit
  • Power Least Squares Fit
  • Invers Least Squares Fit
  • n-dimensinal Polynomial
  • Quadratic Polynomial
  • Cubic Polynomia
  • Sine Wave

Approximation   

  • Simplex Algorithm Fit
  • Gauß Algorithm Fit
  • Bezier
  • B-Spline
  • Smoothing Spline
  • Parametric Smoothing Spline
  • Cyclic Smoothing Spline

Interpolation

  • Polygonal Curve
  • Additive Segmentation
  • (n-1) Polynomial
  • Lagrange polynomial
  • Newton Polynomial
  • Rationale Polynomial
  • Aitken/Neville Polynomial
  • Cubic Spline
  • Parametric Spline
  • Periodic Spline
  • Cyclic Spline
  • Smooth Spline
  • Akima Subspline
  • Renner Subspline
  • Hermite Splines
  • Catmull-Rom Spline
  • Kochanek-Bartel Spline
  • Cardinal Spline

Surface Fit

  • Bi-Linear
  • Nearest Neighbors Linear
  • Smoothing Spline
  • Thin Plate Surface Spline
  • Nearest Neighbors Distance
  • Nearest Neighbors Around Distance
  • Thin Plate Surface Spline
  • Bivariate Cubic Spline

FFT

  • Approximation
  • Spectrum
  • Phase
  • Analysis
  • Synthesis
  • Real Part
  • Imaginary Part

Outlier Test

  • Dean-Dixon
  • Nalimov
  • Grubbs
  • Significance of extreme values

Polyline Simplification

  • Polyline Simplification
  • Radial Vertex Reduction
  • Perpendicular Vertex Reduction
  • Retake Perpendicular Vertex Reduction
  • Reumann/Witkam Reduction
  • Ramer/Douglas/Peucker Reduction
  • Optimized Ramer/Douglas/Peucker Reduction

IMPORTANT: WARRANTY DISCLAIMER

The author makes no warranty of any kind, expressed or implied, including any warranties of
fitness for a particular purpose. In no event will the author be liable for any incidental
or consequential damages arising from the use of, or inability to use, this algorithm
from the programs SimplexNumerica or Simplexety.

In particular you must NOT assume
 that the algorithm shown
are always
correct in SimplexNumerica or Simplexety!


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©1988-2012 Dipl.-Phys.-Ing. Ralf Wirtz. All rights reserved.