With more than 600 mathematical, statistical, and engineering functions, MATLAB gives you immediate access to high-performance numeric computing. The numerical routines are fast, accurate, and reliable. The math is optimized for matrix operations, so you can use it in place of low-level languages like C, with equal performance but less programming.
 Linear algebra and matrix computation
Fourier and statistical analysis functions
Differential equation solvers
Sparse matrix support
Trigonometric and other fundamental math operations
Because most of the MATLAB functions are written in M-code (the MATLAB language), you can view and modify the underlying algorithms. In addition to the hundreds of core math functions provided, MATLAB also makes it easy to create your own customized functions. You can call multiple MATLAB math functions (M-files) from a single routine to create a whole new function. MathWorks developers rely on the MATLAB core functions to produce many Toolboxes and other products.
The MATLAB ODE Suite, a collection of M-files for solving ordinary differential equations, offers a significant enhancement to the numerical integration capabilities of MATLAB. The ODE suite features stiff and non-stiff system solvers, as well as support for sparse systems and mass matrices. Optional features include interfaces to Simulink integrators and systems, and specification of output points and integration backward in time.
Multidimensional (N-D) interpolation
Analysis and display of irregularly sampled data
Efficient triangle-based interpolation
Manipulation and analysis of multidimensional array data
Matrix, array, relational, logical, bit, and set operations
Signal processing
Geometric analysis
Polynomials
Ordinary differential equations
Nonlinear numerical methods
Sparse iterative methods, eigenvalues, and singular values
2-D quadrature
MATLAB
Simulink
Stateflow
MATLAB Compiler
C/C++ Math Library
C/C++ Graphics Library
Database Toolbox
Data Acquisition Toolbox
Excel Link
Instrument Control Toolbox
MATLAB Report Generator
MATLAB Runtime Server
MATLAB Web Server
MatrixVB
Signal and Image Processing
Signal Processing
Image Processing
Communications
Wavelet
Filter Design
Finance and Economics
Financial
Financial Time Series
GARCH
Financial Derivatives
Datafeed
Data Analysis and Math
Curve Fitting
Optimization
Statistics
Neural Networks
Symbolic Math
Partial Differential Equations
Mapping
Spline
Virtual Reality Toolbox
Control System Design
Control System
Fuzzy Logic
Robust Control
System Identification
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