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MATLAB培训教程11 Root_Finding 求根 共26页.pdf
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26页
【大纲】 02 Array_Operation 矩阵运算 共26页 03 Structured_Programming_&_Function 结构化程序设计函数 共25页 04 Data_Structure_&_File_Access 数据结构和文件库 共34页 05 Basic_Plotting 基础绘图 共29页 06 Advanced_Plotting 高级绘图 共36页 07 Graphical_User_Interface 图形界面GUI 共24页 08 Image_Processing I 图像处理1 共28页 09 Image_Processing II 图像处理2 共18页 10 Integration_&_Differentiation 积分和微分 共32页 11 Root_Finding 求根 共26页 12 Linear_Equations 线性方程组 共29页 13 Statistics_&_Data_Analysis 统计数据分析 共28页 14 Curve_Fitting_&_Interpolation 拟合与插值 共26页
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APPLICATIONS OF
MATLAB IN ENGINEERING
Today:
• Symbolic approach
• Numeric root solvers
• Recursive functions
![](https://csdnimg.cn/release/download_crawler_static/88568725/bg2.jpg)
Problem Statement
• Suppose you have a mathematical function
and you want to find
such that
, e.g.
• How do you solve the
problem using MATLAB?
• Analytical Solutions
• Graphical Illustration
• Numerical Solutions
Applications of MATLAB in Engineering
2
-10 -5 0 5 10
0
20
40
60
80
100
x
f(x)
![](https://csdnimg.cn/release/download_crawler_static/88568725/bg3.jpg)
Symbolic Root Finding Approach
• Performing mathematics on symbols, NOT numbers
• The symbols math are performed using “symbolic
variables”
• Use sym or syms to create symbolic variables
• Define:
Applications of MATLAB in Engineering
3
syms x
x + x + x
(x + x + x)/4
x=sym('x');
x + x + x
(x + x + x)/4
![](https://csdnimg.cn/release/download_crawler_static/88568725/bg4.jpg)
Symbolic Root Finding: solve()
• Function solve finds roots for equations
• Find the roots for:
and
Applications of MATLAB in Engineering
4
syms x
solve('x*sin(x)-x', x)
syms x
y = x*sin(x)-x;
solve(y, x)
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