数值分析的matlab程序设计

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1、数值分析作业题目利用MATLAB编写数值算法程序班级/学号04140101/20100414028学生姓名张阳指导教师刘勇进一、编写lagrange插值法计算拉氏基函数，再求和。图1拉氏基函数求解流程图Lagrange_base_function.m文件%Copyright(c)2012ShenYangAreospaceUniversity%Allrightsreserved%%filename:Lagrange_base_function.m%summary:%%currentedition:%programmer:YungZhung%accomplishtime:2012-04-15%

2、%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%functionname:Lagrange_base_function.m%functiondescribe:%functionindetailed:%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%functionY=Lagrange_base_function(x,k)n=length(x);y=ones(n,2);Y=1;forii=1:nifii==kcontinue

3、;endy(ii,2)=-x(ii);Y=conv(Y,y(ii,:));endend图2计算lagrange插值函数及差值值Lagrange.m文件%Copyright(c)2012ShenYangAreospaceUniversity%Allrightsreserved%%filename:Lagrange.m%summary:%%currentedition:%programmer:YungZhung%accomplishtime:2012-04-15%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

4、%functionname:Lagrange.m%functiondescribe:%functionindetailed:%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%functionY=Lagrange(x,y,point)ifmin(size(x))>1

5、

6、min(size(y))>1error('themuxtbetwovectors!!!');endn=length(x);ifn~=length(y)error('thedimentionofthetwovectorsmustaggree!!!

7、');endY=0;forii=1:ny_1=Lagrange_base_function(x,ii);Y=polyadd(Y,y(ii)*y_1/polyval(y_1,x(ii)));endifnargin==2disp(Y);elseY=polyval(Y,point);end一、编写复合二重simpson求积公式图3二重复合simpson公式流程图转化为一重simpson求积公式。%Copyright(c)2012ShenYangAreospaceUniversity%Allrightsreserved%%filename:simpson_con.m%summary:%%curre

8、ntedition:%programmer:YungZhung%accomplishtime:2012-06-25%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%functionname:simpson_con.m%functiondescribe:%functionindetailed:%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%function[val]=simpson_con(f,a,b,c,d,m,n)if

9、b