Curve Fitting, Optimization, and Derivatives

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