CasADi is a symbolic framework for numeric optimization implementing automatic differentiation in forward and reverse modes on sparse matrix-valued computational graphs. It supports self-contained C-code generation and interfaces state-of-the-art codes such as SUNDIALS, IPOPT etc. It can be used from...
(−a sin(a x)−a cos(a x)a cos(a x)−a sin(a x)) You can also perform differentiation of a vector function with respect to a vector argument. Consider the transformation from Cartesian coordinates(x,y,z)to spherical coordinates(r,λ,φ)as given by x=rcosλ...
Syntax, array indexing and manipulation, data types, operators Data Import and Analysis Import and export data, including large files; preprocess data, visualize and explore Mathematics Linear algebra, differentiation and integrals, Fourier transforms, and other mathematics ...
Some previous works have discussed the accurate analytical computation approach for the sensitivity matrix of the 1D geophysical problems but the codes are not publicly accessible. Using the basic differentiation rules (product and quotient) and the logarithmic differentiation the MATLAB code for ...
Copy CodeCopy Command Rosenbrock's function is a standard test function for optimization. Therosenbrock.mhelper function computes the function value and uses automatic differentiation to compute its gradient. Get typerosenbrock.m function [y,dydx] = rosenbrock(x) ...
To learn more about custom training loops, automatic differentiation, and deep learning arrays, see Custom Training Loops (Deep Learning Toolbox). Code generation supports both formatted and unformatted deep learning arrays. dlarray objects containing gpuArrays are also supported for code generation. To...
Linear algebra, differentiation and integrals, Fourier transforms, and other mathematics Graphics Two- and three-dimensional plots, images, animation Programming Scripts, functions, and classes App Building Create self-contained apps, embedded Live Editor tasks, and custom UI components ...
When used with Symbolic Math Toolbox™, you can access functions for disciplines like algebra and calculus. Perform analytical computations such as differentiation and integration as well as solving algebraic and ordinary differential equations. Visualize analytical functions in 2D and 3D. Use MATLAB ...
Numerical differentiation Numerical integration Max/min problems Experiments with MATLAB MATLAB app with 20 interactive STEM examples for exploring several mathematical concepts, including: Iteration Fibonacci numbers Orbits Shallow-water equations Morse code Games Precalculus Challenge Challenge your ...
A deep learning array stores data with optional data format labels for custom training loops, and enables functions to compute and use derivatives through automatic differentiation. Tip For most deep learning tasks, you can use a pretrained neural network and adapt it to your own data. For an ...