Graphic 3 for SigmaPlot

O-Matrix Curve Fitting, Optimization, and Derivatives

Curve Fitting

interp - Piecewise Linear Interpolation In One Dimension

interp1 - Piecewise Linear Interpolation In One Dimension

lagrange - Lagrange Polynomial Interpolation

polyfit - Least Squares Fit of a Descending Polynomial to Data

smospl - Smoothing Splines Of Arbitrary Order And Dimension

cubespl - Compute Cubic Spline Coefficients

cubeval - Evaluate A Cubic Spline

interp2 - Two Dimensional Piecewise Bilinear Interpolation

interp2 - Two Dimensional Piecewise Bilinear Interpolation (Mlmode)

Nonlinear Equations

snewton - Newton's Method For Multiple Nonlinear Equations In One Variable

brent - Brent's Method for Multiple Nonlinear Equations Without Derivatives

Optimization

conjdir - Optimization Without Derivatives Using Conjugate Directions

neldermead - Optimization Using the Nelder Mead Simplex Method

conjgrad - Optimization Using The Conjugate Gradient Method

linlsq - Singular Linear Least Squares

linlsqb - Linear Least Squares With Box Constraints

nlsq - Nonlinear Least Squares

dnlsq - Nonlinear Least Squares With Derivatives

nlsqbox - Nonlinear least Squares With Box Constraints

dnlsqb - Nonlinear Least Squares With Box Constraints and Derivatives

minline - Minimization Along A Direction In A Vector Space

lemke - Solving Linear Complementarity Problems

qpos - Quadratic Programming with Inequality and Positive Constraints

qbox - Quadratic Programming with Inequality and Box Constraints

qpro - Quadratic Programming with Equality and Inequality Constraints

sqp - Nonlinear Constrained Optimization by Successive Quadratic Programming

relative - Extended Least Squares

Derivative Approximation and Testing

fordiff - Forward Difference Derivative Approximation

cendiff - Central Difference Derivative Approximation

autodiff - Numerical Derivatives With Automatic Step Size Control

testder - Testing Calculation of The Derivative of a Function

testgrad - Testing Calculation of The Gradient of a Function

testhess - Testing Calculation of The Hessian of a Function

 

 

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