pracma

Adams-Bashford-Moulton

Accumulate Vector Elements

Arithmetic-geometric Mean

Aitken' Method

Univariate Akima Interpolation

Logical AND, OR (Matlab Style)

Andrews' Curves

Basic Complex Functions

Adaptive Nelder-Mead Minimization

Arc Length of a Curve

Arnoldi Iteration

Barycentric Lagrange Interpolation

2-D Barycentric Lagrange Interpolation

Utility functions (Matlab style)

Bernoulli Numbers and Polynomials

Bernstein Polynomials

Rootfinding Through Bisection or Secant Rule

Binary Representation

String of Blank Carakters

Block Diagonal Matrix

Brent-Dekker Root Finding Algorithm

Brownian Motion

Broyden's Method

Elementwise Function Application (Matlab Style)

Boundary Value Problems

Coordinate Transformations

Directory Functions (Matlab style)

Integer Functions (Matlab Style)

Characteristic Polynomial

Chebyshev Approximation

Chebyshev Polynomials

Chebyshev Polynomials

Fitting a Circle

Clear function (Matlab style)

Clenshaw-Curtis Quadrature Formula

Generate Combinations

Companion Matrix

Complex Step Derivatives

Matrix Condition

Polynomial Convolution

Newton-Cotes Formulas

Crank-Nicolson Method

Vector Cross Product

n-dimensional Vector Cross Product

Interpolating Cubic Spline

Parametric Curve Fit

Find Cutting Points

Double and Triple Integration

Deconvolution

Event Detection in ODE solution

Degrees to Radians

Remove Linear Trends

Evaluate ODE Solution

Matrix Diagonal

Distance Matrix

Scalar Product

Eigenvalue Function (Matlab Style)

Jacobi Eigenvalue Method

Einstein Functions

Elliptic and Jacobi Elliptic Integrals

Approximate and Sample Entropy

Floating Point Relative Accuracy

Error Functions and Inverses (Matlab Style)

Plot Error Bars

Dirichlet Eta Function

Euler-Heun ODE Solver

Exponential and Logarithmic Integral

Matrix Exponential

Some Basic Matrices

Contour, Surface, and Mesh Plotter

Easy Function Plot

Easy Polar Plot

Factorial Function

Prime Factors

Numerical Differentiation

Fibonacci Search

Control Plot Devices (Matlab Style)

find function (Matlab Style)

Find Interval Indices

Find All Minima

Find Peaks

Find All Roots

Fletcher-Powell Conjugate Gradient Minimization

Matrix Flipping (Matlab Style)

Finding Function Minimum

Minimize Nonlinear Constrained Multivariable Function.

Derivative-free Nonlinear Function Minimization

Minimize Unconstrained Multivariable Function

Function Norm

Fornberg's Finite Difference Approximation

Formatted Printing (Matlab style)

Fractal Curves

Fresnel Integrals

Solve System of Nonlinear Equations

Root Finding Algorithm

Complex Root Finding

Incomplete Gamma Function

Complex Gamma Function

Gauss-Hermite Quadrature Formula

Gauss-Laguerre Quadrature Formula

Gauss-Legendre Quadrature Formula

Gauss-Newton Function Minimization

Gauss-Kronrod Quadrature

GCD and LCM Integer Functions

Geometric Median

Givens Rotation

Generalized Minimal Residual Method

Golden Ratio Search

Numerical Gradient

Discrete Gradient (Matlab Style)

Gram-Schmidt

Hadamard Matrix

Halley's Root Finding Mathod

Hampel Filter

Hankel Matrix

Hausdorff Distance

Haversine Formula

Hessenberg Matrix

Hessian Matrix

Hilbert Matrix

Histogram Count (Matlab style)

Histogram Bin-width Optimization

Hooke-Jeeves Function Minimization Method

Horner's Rule

Householder Reflections

Matlab Test Functions

Hurst Exponent

More Hyperbolic Functions

Hypotenuse Function

Inverse Fast Fourier Transformation

Polygon Region

Adaptive Numerical Integration

Numerically Evaluate Double and Triple Integrals

One-dimensional Interpolation

Two-dimensional Data Interpolation

Matrix Inverse (Matlab Style)

Inverse Laplacian

isempty Property

Positive Definiteness

isprime Property

Iterative Methods

Jacobian Matrix

Interpolation by Kriging

Kronecker product (Matlab Style)

L1 Linear Regression

Laguerre's Method

Lambert's W Function

Laplacian Operator

Lebesgue Constant

Legendre Functions (Matlab Style)

Line integral (in the complex plane)

Linear Projection onto a Subspace

Linear Programming Solver

Linearly Spaced Sequences

Log-linearly Spaced Sequences

Linear Least-Squares Fitting

Linear Least-Squares Fitting with linear constraints

Nonlinear Least-Squares Fitting

LU Matrix Factorization

Magic Square

Matlab Compatibility

Geometric and Harmonic Mean (Matlab Style)

Generate a Mesh Grid

Multi-exponential Fitting

Bulirsch-Stoer Algorithm

Matlab backslash operator

Integer Division

Mode function (Matlab style)

Moler Matrix

Moving Average Filters

Muller's Method

Binomial Coefficients

Number of Dimensions

Nearest Symmetric Positive-definite Matrix

Nelder-Mead Function Minimization Method

Neville's Method

Newmark Method

Newton's Root Finding Method for Polynomials.

Lagrange and Newtons Interpolation

Rootfinding through Newton-Raphson or Secant.

Newton Method for Nonlinear Systems

Next Power of 2

Nile overflow data

Nonzero Elements

Vector Norm

Estimated Matrix Norm

Real nth Root

Kernel or Nullspace

Richardson's Numerical Derivative

Number of Elements

Non-stiff (and stiff) ODE solvers

Orthogonal Distance Regression

Range Space

Pade Approximation

Pascal Triangle

Hermitean Interpolation Polynomials

Peaks Function (Matlab Style)

Generate Permutations

Piecewise Linear Function

Pseudoinverse or Generalized Inverse

Plotting Two y-Axes

Poisson Disk Sampling

Polar Coordinate Plot (Matlab Style)

Define Polynomial by Roots

Print Polynomial

Polynomial Approximation

Adding Polynomials

Area of a Polygon

Derivative of Polynomial

Fitting by Polynomial

Anti-derivative of Polynomial

Polylogarithm Function

Multiplying and Dividing Polynomials

Polynomial Powers

Polynomial Transformations

Evaluating a Polynomial

Base 2 Power

Piecewise Polynomial Structures

Piecewise Polynomial Fit

Practical Numerical Math Routines

Prime Numbers

Solving the Procrustes Problem

Psi (Polygamma) Function

Special Quadratic Programming Solver

LSE Solution

Adaptive Simpson Quadrature

2-d Gaussian Quadrature

Adaptive Clenshaw-Curtis Quadrature

Adaptive Gauss-Kronrod Quadrature

Gaussian Quadrature with Richardson Extrapolation

Infinite Integrals

Adaptive Lobatto Quadrature

Quadratic Programming

Vectorized Integration

Quiver or Velocity Plot

Create Random Matrices

Random Combination

Generate Random Orthonormal or Unitary Matrix

Random Permutation

Matrix Rank

Continuous Fractions (Matlab Style)

Rational Interpolation

Rational Function Approximation

Rectangle Intersection Areas

Find overlapping regular expression matches.

Match regular expression

Replace string using regular expression

Replicate Matrix

Reshape Matrix

Ridders' Root Finding Method

Classical Runge-Kutta

Runge-Kutta-Fehlberg

Accuracy Measures

Romberg Integration

Polynomial Roots

Rosser Matrix

Matrix Rotation

Reduced Row Echelon Form

Runge Function

Savitzky-Golay Smoothing

Segment Distance

Segment Intersection

Semi-logarithmic Plots (Matlab Style)

Shooting Method

Shubert-Piyavskii Method

Sine and Cosine Integral Functions

Sigmoid Function

Adaptive Simpson Quadrature

Double Simpson Integration

Trigonometric Functions in Degrees

Size of Matrix

Soft (Inexact) Line Search

Sorting Routines

Sort Rows of a Matrix (Matlab Style)

Monotone (Shape-Preserving) Interpolation

Matrix Square and p-th Roots

Format Distance Matrix (Matlab Style)

Standard Deviation (Matlab Style)

Standard Error

Steepest Descent Minimization

Converting string to number (Matlab style)

String Concatenation

String Comparison

Find Substrings

Justify character vector

Find and replace substring

Remove leading and trailing white space.

Angle between two subspaces

Alternating Series Acceleration

Taylor Series Approximation

MATLAB timer functions

Titanium Test Data

Toeplitz Matrix

Matrix trace

Trapezoidal Integration

Triangular Matrices (Matlab Style)

Trigonometric Approximation

Trigonometric Polynomial

More Trigonometric Functions

Gaussian Triangle Quadrature

Tridiagonal Linear System Solver

Vandermonde matrix

Vector Field Plotting

Whittaker Smoothing

wilkinson Matrix

Riemann Zeta Function