Arc Length of a Curve
Clenshaw-Curtis Quadrature Formula
Characteristic Polynomial
Generate Combinations
Complex Step Derivatives
Chebyshev Polynomials
Newton-Cotes Formulas
Vector Cross Product
Univariate Global Optimization
Distance Matrix
Plot Error Bars
Minimum Finding
Einstein Functions
Hadamard Matrix
Givens Rotation
Gauss-Hermite Quadrature Formula
Horner's Rule
Kronecker product (Matlab Style)
Iterative Methods
Linearly Spaced Sequences
LU Matrix Factorization
Geometric and Harmonic Mean (Matlab Style)
Binomial Coefficients
Generate Permutations
Print Polynomial
Polynomial Transformation
Piecewise Polynomial Structures
Solving the Procrustes Problem
Adaptive Simpson Quadrature
Gaussian Quadrature with Richardson Extrapolation
Adaptive Gauss-Kronrod Quadrature
Adaptive Lobatto Quadrature
Polynomial Roots
Toeplitz Matrix
Titanium Test Data
Remove leading and trailing white space.
Rootfinding Through Bisection
Adams-Bashford-Moulton
Remove Linear Trends
Dirichlet Eta Function
Find All Minima
Plot Multivariate Function
Solve System of Nonlinear Equations
Gauss-Legendre Quadrature Formula
Gauss-Laguerre Quadrature Formula
Gram-Schmidt
Two-dimensional Data Interpolation
Matlab backslash operator
Multi-exponential Fitting
Line integral (in the complex plane)
Number of Dimensions
Orthogonal Distance Regression
Multiplying Polynomials
Matrix Rank
Match regular expression
Segment Intersection
Soft (Inexact) Line Search
Justify character vector
Angle between two subspaces
wilkinson Matrix
String Concatenation
Integer Functions (Matlab Style)
2-D Barycentric Lagrange Interpolation
Coordinate Transformations
Chebyshev Polynomials
Contour and Mesh Plotter
Find Peaks
Generalized Minimal Residual Method
Discrete Gradient (Matlab Style)
Householder Reflections
Polygon Region
Hypotenuse Function
Moler Matrix
Utility functions (Matlab style)
Matrix Condition
Kernel or Nullspace
Crank-Nicolson Method
Pade Approximation
Classical Runge-Kutta
Double and Triple Integration
Scalar Product
Jacobi Eigenvalue Method
Replace string using regular expression
Create Random Matrices
Reduced Row Echelon Form
Sort Rows of a Matrix (Matlab Style)
Basic Complex Functions
Steepest Descent
Degrees to Radians
Tridiagonal Linear System Solver
String of Blank Carakters
Univariate Akima Interpolation
Block Diagonal Matrix
Fitting a Circle
Companion Matrix
Control Plot Devices (Matlab Style)
Davidon-Fletcher-Powell Method
Complex Gamma Function
Find Interval Indices
Exponential and Logarithmic Integral
Numerical Gradient
Inverse Laplacian
Complex Root Finding
Nearest Symmetric Positive-definite Matrix
Newton's Root Finding Method for Polynomials.
Geometric Median
Nonzero Elements
Hampel Filter
Interpolation by Kriging
Magic Square
Integer Division
Polar Coordinate Plot (Matlab Style)
Real nth Root
Newmark Method
Next Power of 2
Base 2 Power
Derivative of Polynomial
Prime Numbers
Area of a Polygon
LSE Solution
2-d Gaussian Quadrature
Piecewise Polynomial Fit
Rectangle Intersection Areas
Double Simpson Integration
MATLAB timer functions
Find overlapping regular expression matches.
Rational Function Approximation
Runge-Kutta-Fehlberg
Ridders' Method
Matrix trace
Segment Distance
Trigonometric Approximation
Romberg Integration
Adaptive Simpson Quadrature
Monotone (Shape-Preserving) Interpolation
Matrix Square and p-th Roots
Sorting Routines
isempty Property
Riemann Zeta Function
Brent-Dekker Root Finding Algorithm
Directory Functions (Matlab style)
Clear function (Matlab style)
n-dimensional Vector Cross Product
Deconvolution
Interpolating Cubic Spline
Elliptic and Jacobi Elliptic Integrals
Easy Polar Plot
Easy Function Plot
Factorial Function
More Hyperbolic Functions
Root Finding
One-dimensional Interpolation
Numerically Evaluate Double and Triple Integrals
Linear Least-Squares Fitting
Laplacian Operator
Matlab Compatibility
Non-stiff ODE solvers
Range Space
Richardson's Numerical Derivative
Pascal Triangle
Vector Norm
Polynomial Approximation
Arithmetic-geometric Mean
Polynomial Powers
Polynomial Convolution
Brownian Motion
Aitken' Method
Parametric Curve Fit
Whittaker Smoothing
Vectorized Integration
Event Detection in ODE solution
Find Substrings
Hilbert Matrix
Matrix Exponential
Fresnel Integrals
Find All Roots
Incomplete Gamma Function
Golden Ratio Search
Halley's Root Finding Mathod
Finding Function Minimum
Matrix Inverse (Matlab Style)
Jacobian Matrix
L1 Linear Regression
Linear Programming Solver
Generate a Mesh Grid
Pseudoinverse or Generalized Inverse
Fitting by Polynomial
Random Permutation
Quiver or Velocity Plot
Generate Random Orthogogonal Matrix
Trigonometric Polynomial
String Comparison
Vandermonde matrix
Legendre Functions (Matlab Style)
Barycentric Lagrange Interpolation
Elementwise Function Application (Matlab Style)
Error Functions and Inverses (Matlab Style)
Eigenvalue Function (Matlab Style)
Gauss-Newton Function Minimization
Floating Point Relative Accuracy
Histogram Bin-width Optimization
Matlab Test Functions
Adaptive Numerical Integration
isprime Property
Hankel Matrix
Laguerre's Method
Lebesgue Constant
Log-linearly Spaced Sequences
Newton Method for Nonlinear Systems
Estimated Matrix Norm
Piecewise Linear Function
Polylogarithm Function
Psi (Polygamma) Function
Adaptive Clenshaw-Curtis Quadrature
Random Combination
Infinite Integrals
Accuracy Measures
Reshape Matrix
The Runs Test, or Wald-Wolfowitz Test
Converting string to number (Matlab style)
Trapezoidal Integration
Gaussian Triangle Quadrature
Accumulate Vector Elements
Broyden's Method
Chebyshev Approximation
Evaluate ODE Solution
Matrix Diagonal
Some Basic Matrices
Approximate and Sample Entropy
Numerical Differentiation
Prime Factors
Fornberg's Finite Difference Approximation
Matrix Flipping (Matlab Style)
Function Norm
Hooke-Jeeves Method
Lambert's W Function
Inverse Permutation
Mode function (Matlab style)
Nelder-Mead Minimization Method
Lagrange and Newtons Interpolation
Rootfinding through Newton-Raphson or Secant.
Number of Elements
Plotting Two y-Axes
Peaks Function (Matlab Style)
Define Polynomial by Roots
Anti-derivative of Polynomial
Evaluating a Polynomial
Rational Interpolation
Rosser Matrix
Sigmoid Function
Runge Function
Size of Matrix
Format Distance Matrix (Matlab Style)
Standard Error
Standard Deviation (Matlab Style)
Find and replace substring
Triangular Matrices (Matlab Style)
More Trigonometric Functions
Vector Field Plotting
Matrix Rotation
Andrews' Curves
Logical AND, OR (Matlab Style)
Boundary Value Problems
Find Cutting Points
Euler-Heun ODE Solver
Fibonacci Search
find function (Matlab Style)
Gauss-Kronrod Quadrature
GCD and LCM Integer Functions
Hessian Matrix
Hausdorff Distance
Histogram Count (Matlab style)
Hurst Exponent
Inverse Fast Fourier Transformation
Muller's Method
Nonlinear Least-Squares Fitting
Moving Average Filters
Neville's Method
Hermitean Interpolation Polynomials
Adding Polynomials
Practical Numerical Math Routines
Continuous Fractions (Matlab Style)
Replicate Matrix
Savitzky-Golay Smoothing
Semi-logarithmic Plots (Matlab Style)
Taylor Series Approximation