Contents Previous Next Subchapters-> interp interp1 lagrange polyfit smospl cubespl cubeval interp2 mlmode_interp2 snewton brent linlsq linlsqb nlsq dnlsq nlsqbox dnlsqb conjdir neldermead conjgrad minline lemke Qpos Qbox Qpro sqp relative fordiff cendiff autodiff testder testgrad testhess Current Chapters-> starting basic expression flow elementary submatrices io stringssort graphics userdefined linear fit filtering statistics special integration polynomial gui advanced debugger linking omrte appendix mlmode glossary Parent Chapters-> Omatrix6 fit Search Tools-> contents reference index search

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