数学和优化

开发、求解和可视化数学模型

您可以使用多款 MATLAB^® 产品来帮助您创建和分析数学模型。这些产品提供了多种建模方法，包括核心和专用数学工具、数值和符号计算，以及交互式和编程功能。

适用产品：数学和优化

求解线性优化、二次优化、锥优化、整数优化和非线性优化问题

Solve multiple maxima, multiple minima, and nonsmooth optimization problems

Perform symbolic math computations

Analyze and visualize geographic information

Solve partial differential equations using finite element analysis

使用优化实时编辑器任务或求解器的有约束非线性问题 (Optimization Toolbox)
使用可视化方法或基于文本的方法最小化具有非线性约束的非线性函数。
Constrained Electrostatic Nonlinear Optimization Using Optimization Variables (Optimization Toolbox)
Define objective and constraint functions for a structured nonlinear optimization in the problem-based approach.
Fit ODE Parameters Using Optimization Variables (Optimization Toolbox)
Fit parameters of an ODE using problem-based least squares.

Comparison of Six Solvers (Global Optimization Toolbox)
Explore some characteristics of global solvers.
Solve Nonlinear Problem with Integer and Nonlinear Constraints (Global Optimization Toolbox)
Compare the solution of a nonlinear problem both with and without integer constraints.
Optimize ODEs in Parallel (Global Optimization Toolbox)
Save time by calling an expensive subroutine just once and computing an ODE solution in parallel using patternsearch or ga.

Create Symbolic Numbers, Variables, and Expressions (Symbolic Math Toolbox)
Use symbolic values and variables to perform analytical calculations.
Differentiation (Symbolic Math Toolbox)
Differentiate symbolic expressions and functions.
Integration (Symbolic Math Toolbox)
Integrate symbolic expressions and functions.

Choose a 2-D Map Display (Mapping Toolbox)
Choose a 2-D map display based on criteria such as the map projection, the type of data, and interactivity options.
Supported Geospatial File Formats for Import and Export (Mapping Toolbox)
File formats that Mapping Toolbox™ can read and write, and recommended functions.
Comparison of 3-D Coordinate Systems (Mapping Toolbox)
Learn how to choose a coordinate transformation function based on your data.

Deflection Analysis of Bracket (Partial Differential Equation Toolbox)
Analyze a bracket under an applied load and determine the maximal deflection by using the unified workflow.
Heat Transfer in Block with Cavity (Partial Differential Equation Toolbox)
Find the heat distribution in a block with a cavity by using the unified workflow.
Electrostatic Potential in Air-Filled Frame (Partial Differential Equation Toolbox)
Find the electrostatic potential in an air-filled annular quadrilateral frame by using the unified workflow.