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1、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
2、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
3、矩阵Gc=[ab],,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）(5)编写M文件，用switch语句实现百分制成绩的等级输出，90分以上为‘A’，80~90分为‘B’，70~79分为‘C’，60~69分为‘D’，60分以下为‘E’。3.拟合与规划3.1线性拟合（单变量、多变量）（
4、1）已知变量x与函数y满足关系lny=ax+lnb，且已知下列样本数据，求a，b的值。xi=[1.001.251.501.752.00];yi=[5.105.796.537.458.46];（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=[0.61.51.82.43.03.3]Tx2=[0.30.91.22.73.34.2]Ty=[0.510.780.840.690.810.72]T3.2非线性拟合（单变量、多变量）（1）
5、拟合的函数形式是y=A*x2+B*x,且A>0,B>0。其中：x=[110.3323148.7328178.064202.8258033224.7105244.5711262.908280.0447296.204311.5475]；y=[5101520253035404550]；（2）需要拟合的函数y=(a4*x1*x2*x3-a5*x4)*x5/(1(a0*x1)^0.5a1*x2a2*x3a3*x4)^2其中：x1=[0.03274,0.03274,0.03274,0.03556,0.03556,0.03556,0.03
6、556,0.0388,0.0388,0.0388,0.02963,0.02963,0.02963,0.02963,0.03852,0.03852,0.03852,0.0237,0.0237,0.0237,0.04741,0.04741,0.04741,0.04741,0.05333,0.05333,0.05333,0.05333,0.03556,0.03556,0.03556,0.03556,0.03556,0.03556,0.03556]';x2=[0.05686,0.05686,0.05686,0.05912,0.059
7、12,0.05912,0.05912,0.06128,0.06128,0.06128,0.04926,0.04926,0.04926,0.04926,0.06404,0.06404,0.06404,0.07882,0.07882,0.07882,0.03941,0.03941,0.03941,0.03941,0.02956,0.02956,0.02956,0.02956,0.05912,0.05912,0.05912,0.05912,0.05912,0.05912,0.05912]';x3=[3.32,2.986,2.831
8、,3.169,2.602,2.133,1.708,2.526,2.012,1.684,3.164,2.668,2.26,1.878,2.611,2.002,1.65,2.637,2.249,1.981,2.64,2.036,1.697,1.504,2.839,2.372,1.99,1.81
