matlab 训练题目.docVIP

过程系统研究室训练资料 2010.9.27 内容： 1. 矩阵和数组的基本操作 2. 简单M文件程序设计 3. 拟合与规划 3.1 线性拟合 3.2 非线性拟合 3.3 单目标规划(线性、非线性) 3.4 多目标规划(线性、非线性) 4. 方程（组）求解 4.1 线性方程（组）的求解 4.2 非线性方程（组）的求解 5. 简单图形用户界面（GUI）设计 5.1 知识点 5.2 实例训练 6.GUI进阶 6.1 知识点 6.2 实例训练 7. 大型系统编程 1. 矩阵和数组的基本操作 用MATLAB产生2个矩阵A和B，其中A为4*4的魔方矩阵，B为4*4随机均匀分布的矩阵，对A和B做以下操作： (1) 求A*B，A+B，A/B，A.*B的值。 (2) 分别找出A和B元素中最大的值及其对应的位置（以A(i,j)形式表示）。[rows,cols]=find(max(max(a))) [m, ind]=max( a(:) ) [i,j]=ind2sub(size(a),ind)★ (3) 对A中的所有元素进行升序排列，并重新生成4*4的矩阵C。b=sort(a(:))，c=reshape(b,4,4) (4) 删除A的最后一列得矩阵D和B的第一行得矩阵E。a(:,4)=[]…b(1,:)=[] (5) 将A和B连接起来，生成一个4*8的矩阵F和一个8*4的矩阵G c=[a b],, d=[a;b] 2. 简单的M文件程序设计 (1) 编写M文件，用for循环求100以内的素数。 (2) 编写M文件，求1000以内的所有完数。（如6=1+2+3） (3) 编写M文件，求100—1000之间的水仙花数。（如4^3+0^3+7^3=407） (4) 编写M文件，用while循环计算的值。（即求）xi = [1.00 1.25 1.50 1.75 2.00]; yi = [5.10 5.79 6.53 7.45 8.46]; （2）已知变量x1,x2与函数y满足关系y=a0+a1x1+a2x2,已得到下列样本数据，求常数a0,a1,a2并计算出abs(y计算-y实际)。 x1=[0.6 1.5 1.8 2.4 3.0 3.3]T x2=[0.3 0.9 1.2 2.7 3.3 4.2]T y=[0.51 0.78 0.84 0.69 0.81 0.72]T 3.2 非线性拟合（单变量、多变量） （1）拟合的函数形式是 y=A*x + B*x, 且A0,B0 。 x=[110.3323 148.7328 178.064 202.8258033 224.7105 244.5711 262.908 280.0447 296.204 311.5475]； y=[5 10 15 20 25 30 35 40 45 50]； y=(a4*x1*x2*x3-a5*x4)*x5/(1 (a0*x1)^0.5 a1*x2 a2*x3 a3*x4)^2其中： x1=[0.03274,0.03274,0.03274,0.03556,0.03556,0.03556,0.03556,0.0388,0.0388,0.0388,0.02963,0.02963,0.02963,0.02963,0.03852,0.03852,0.03852,0.0237,0.0237,0.0237,0.04741,0.04741,0.04741,0.04741,0.05333,0.05333,0.05333,0.05333,0.03556,0.03556,0.03556,0.03556,0.03556,0.035 56,0.03556]; x2=[0.05686,0.05686,0.05686,0.05912,0.05912,0.05912,0.05912,0.06128,0.06128,0.06128,0.04926,0.04926,0.04926,0.04926,0.06404,0.06404,0.06404,0.07882,0.07882,0.07882,0.03941,0.03941,0.03941,0.03941,0.02956,0.02956,0.02956,0.02956,0.05912,0.05912,0.05912,0.05912,0.05912,0.05912,0.05912]; x3=[3.32,2.986,2.831,3.169,2.602,2.133,1.708,2.526,2.012,1.684,3.164,2.668,2.26,1.878,2.611,2.002,1.65,2.637,2.249,1.981,2.64,2.036,1.697,1.504,2.839,2.372,1.99