Upload original Matlab程序设计 course files (part 2)

matlab数学建模算法/matlab经典算法的程序(1)/Arithmetic/Binary_Search.m

@@ -1,3 +1,11 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:4aad050656e98af5ef9b660fdc5b525e388d094d431c947ae7e5c0437d75613a
-size 404
+function Binary_Search(L,a,b,x)%c����
+begin
+  if a>b then return(-1)
+            else begin
+                   m:=(a+b) div 2;
+                   if x=L[m] then return(m)
+                             else if x>L[m] 
+                                    then return(Binary_Search(L,m+1,b,x));
+                                    else return(Binary_Search(L,a,m-1,x));
+                  end; 
+end;

matlab数学建模算法/matlab经典算法的程序(1)/Arithmetic/Dijkstra/MINROUTE.M

@@ -1,3 +1,34 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:bc383609b78e5ef633e5819d5e9ebe7651c3ff3be039ad84b6822ea5e74a3aaa
-size 1259
+function [S,D]=minRoute(i,m,W)
+%ͼ���������������·����Dijkstra�㷨 M-����
+%��ʽ [S,D]=minroute(i,m,W)
+%    iΪ���·������ʼ��,mΪͼ������,WΪͼ�Ĵ�Ȩ�ڽӾ���
+%    �����ɱߵ�������֮���Ȩ��inf��ʾ����ʾ���Ϊ��S��ÿ
+%    һ�д��ϵ��¼�¼�˴�ʼ�㵽�յ�����·�������������ţ�
+%    D��һ����������¼��S����ʾ·���Ĵ�С;
+%����
+%    clear;w=inf*ones(6);w(1,3)=10;w(1,5)=30;
+%    w(1,6)=100;w(2,3)=5;w(3,4)=50;w(4,6)=10;
+%    w(5,4)=20;w(5,6)=60;
+%    i=1;[s,d]=minroute(i,6,w)
+
+% By X.D. Ding June 2000
+
+dd=[];tt=[];ss=[];ss(1,1)=i;V=1:m;V(i)=[];dd=[0;i];
+% dd�ĵڶ�����ÿ����������·�����յ㣬��һ�������·����ֵ
+kk=2;[mdd,ndd]=size(dd);
+while ~isempty(V)
+   [tmpd,j]=min(W(i,V));tmpj=V(j);
+   for k=2:ndd
+      [tmp1,jj]=min(dd(1,k)+W(dd(2,k),V));
+      tmp2=V(jj);tt(k-1,:)=[tmp1,tmp2,jj];
+   end
+   tmp=[tmpd,tmpj,j;tt];[tmp3,tmp4]=min(tmp(:,1));
+   if tmp3==tmpd, ss(1:2,kk)=[i;tmp(tmp4,2)];
+   else,tmp5=find(ss(:,tmp4)~=0);tmp6=length(tmp5);
+      if dd(2,tmp4)==ss(tmp6,tmp4)
+         ss(1:tmp6+1,kk)=[ss(tmp5,tmp4);tmp(tmp4,2)];
+         else, ss(1:3,kk)=[i;dd(2,tmp4);tmp(tmp4,2)];
+   end;end
+   dd=[dd,[tmp3;tmp(tmp4,2)]];V(tmp(tmp4,3))=[];
+   [mdd,ndd]=size(dd);kk=kk+1;
+end; S=ss; D=dd(1,:);             

matlab数学建模算法/matlab经典算法的程序(1)/Arithmetic/Dynamic_pro/DYNPROG.M

@@ -1,3 +1,86 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:ab9ef86cd6f10ff0289bf031250390694cfe9dbe36752b49d1019cf44f7df6b0
-size 3151
+function [p_opt,fval]=dynprog(x,DecisFun,ObjFun,TransFun)       
+% [p_opt,fval]=dynprog(x,DecisFun,ObjFun,TransFun)
+% ����ʼ�˺��ն˵Ķ�̬�滮,��ָ�꺯����Сֵ�������㷨�ݹ�
+% �������x��״̬������һ�д���һ���׶�״̬��M-����
+% DecisFun(k,x)�ɽ׶�k��״̬����x�����Ӧ���������߱���;
+% M-����ObjFun(k,x,u)�ǽ׶�ָ�꺯����M-����TransFun(k,x,u)
+% ��״̬ת�ƺ���,����x�ǽ׶�k��ij״̬������u����Ӧ�ľ��߱�����
+% ���p_opt��4�й��ɣ�p_opt=[�����;���Ų�����;���Ź�����;
+% ָ�꺯��ֵ��]��fval��һ������������Ԫ�طֱ��ʾp_opt��
+% ���Ų������Ӧʼ��״̬x�����ź���ֵ��
+%
+%�����ο��������ȱࡶ��ѧʵ��--ʹ��MATLAB��P180
+%��д3������
+%                 eg13f1_2.m
+%    function u=DecisF_1(k,x)
+%    �ڽ׶�k��״̬����x��ֵ�������Ӧ�ľ��߱������е�ȡֵ
+%    c=[70,72,80,76];q=10*[6,7,12,6];
+%    if q(k)-x<0,u=0:100;       %���߱�������ȡΪ��ֵ
+%    else,u=q(k)-x:100;end;     %�������������Ҳ�����100
+%    u=u(:);
+%                 eg13f2_2.m
+%    function v=ObjF_1(k,x,u)
+%    �׶�k��ָ�꺯��
+%    c=[70,72,80,76];v=c(k)*u+2*x;
+%                 eg13f3_2.m
+%    function y=TransF_1(k,x,u)
+%     ״̬ת�Ʒ���
+%     q=10*[6,7,12,6];y=x+u-q(k);
+%����DynProg.m�������£�
+%    clear;x=nan*ones(14,4);% x��10�ı��������Χ0��x��130,
+%       %���x=0,1,...13������x��ʼ��ȡ14�У�nan��ʾ������Ԫ��
+%    x(1:7,1)=10*(0:6)';     % ���¶���x�Ŀ���ȡֵ
+%    x(1:11,2)=10*(0:10)';x(1:12,3)=10*(2:13)';
+%    x(1:7,4)=10*(0:6)';
+%    [p,f]=dynprog(x,'eg13f1_2','eg13f2_2','eg13f3_2')
+
+% By X.D. Ding June 2000
+
+k=length(x(1,:));f_opt=nan*ones(size(x));d_opt=f_opt;
+t_vubm=inf*ones(size(x));x_isnan=~isnan(x);t_vub=inf;
+% �����ն����ֵ
+tmp1=find(x_isnan(:,k));tmp2=length(tmp1);
+for i=1:tmp2
+   u=feval(DecisFun,k,x(i,k));tmp3=length(u);
+   for j=1:tmp3
+         tmp=feval(ObjFun,k,x(tmp1(i),k),u(j));
+         if tmp<=t_vub, 
+            f_opt(i,k)=tmp;d_opt(i,k)=u(j);t_vub=tmp; 
+end;end;end
+% ���Ƽ�����׶εĵݹ���ó���
+for ii=k-1:-1:1
+   tmp10=find(x_isnan(:,ii));tmp20=length(tmp10);
+   for i=1:tmp20
+      u=feval(DecisFun,ii,x(i,ii));tmp30=length(u);
+      for j=1:tmp30
+         tmp00=feval(ObjFun,ii,x(tmp10(i),ii),u(j));
+         tmp40=feval(TransFun,ii,x(tmp10(i),ii),u(j));
+         tmp50=x(:,ii+1)-tmp40;
+         tmp60=find(tmp50==0);
+         if ~isempty(tmp60),
+            tmp00=tmp00+f_opt(tmp60(1),ii+1);    
+            if tmp00<=t_vubm(i,ii)
+               f_opt(i,ii)=tmp00;d_opt(i,ii)=u(j);
+               t_vubm(i,ii)=tmp00;
+end;end;end;end;end;
+fval=f_opt(tmp1,1);
+% ��¼���ž��ߡ����Ź��ߺ���Ӧָ�꺯��ֵ
+p_opt=[];tmpx=[];tmpd=[];tmpf=[];
+tmp0=find(x_isnan(:,1));tmp01=length(tmp0);
+for i=1:tmp01,
+  tmpd(i)=d_opt(tmp0(i),1); 
+  tmpx(i)=x(tmp0(i),1);
+  tmpf(i)=feval(ObjFun,1,tmpx(i),tmpd(i));
+  p_opt(k*(i-1)+1,[1,2,3,4])=[1,tmpx(i),...
+tmpd(i),tmpf(i)];
+  for ii=2:k
+     tmpx(i)=feval(TransFun,ii-1,tmpx(i),tmpd(i));
+     tmp1=x(:,ii)-tmpx(i);tmp2=find(tmp1==0);
+     if ~isempty(tmp2)
+        tmpd(i)=d_opt(tmp2(1),ii);
+     end;
+     tmpf(i)=feval(ObjFun,ii,tmpx(i),tmpd(i));
+     p_opt(k*(i-1)+ii,[1,2,3,4])=[ii,tmpx(i),...
+tmpd(i),tmpf(i)];
+end;end;
+

matlab数学建模算法/matlab经典算法的程序(1)/Arithmetic/Floyd/floyd.m

@@ -1,3 +1,27 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:3939d7eee97b57205ce5648e3652bfd72cf5f6be2c6ac9d37b9855edb309c21a
-size 563
+   function [d,r]=floyd(a)
+ %floyd.m
+ %����floyd�㷨����ͼa��ÿ�Զ������·
+ %d�Ǿ������
+ %r��·�ɾ���
+   n=size(a,1);
+    d=a;
+     for i=1:n
+         for j=1:n
+                 r(i,j)=j;
+          end 
+     end 
+       r
+      for k=1:n
+           for i=1:n
+                for j=1:n
+                     if d(i,k)+d(k,j)<d(i,j)
+                          d(i,j)=d(i,k)+d(k,j);
+                           r(i,j)=r(i,k)
+                      end 
+                 end 
+           end
+           k
+           d
+           r
+        end
+ 

matlab数学建模算法/matlab经典算法的程序/Arithmetic/work/test/Untitled.m

@@ -1,3 +1,67 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:238e1da8b9958d956f95def56745a257e3f26da6da76daa8c75dda61e1348e63
-size 1362
+%sjbh.m
+function sjbh1(m)
+x=-1:0.01:10;
+y1=sin(x);
+plot(x,y1)
+axis([-1 10 -2 2])
+grid
+legend('sin(x)')
+pause(2)
+legend off
+legend('��y=sin(x)�ĺ�����������ԭ����1/2')
+%hold on
+%theax=axis;
+pause
+%y=sinx->y=sin(wx)
+h=line('Color',[1 1 0],'Marker','.','MarkerSize',4,'EraseMode','xor');
+w=1:0.05:2;
+y2=zeros(1101,21);
+for i=1:21
+    y2(:,i)=sin(w(i)*x');
+    set(h,'xdata',x,'ydata',y2(:,i));
+    drawnow;
+    pause(0.0005)
+    i=i+1;
+    %axis=theax;
+end
+legend off
+legend('sin(2x)')
+pause(2)
+legend('��y=sin(2x)����ƽ��pi/6')
+%hold on
+pause
+%y=sin(wx)->y=sin(wx+pi/3)
+h=line('Color',[1 0 1],'Marker','.','MarkerSize',4,'EraseMode','Xor');
+w1=2;
+y3=zeros(1101,20);
+for i=1:20
+    y3=(:,i)=sin(w1*x'+pi/60*i);
+    set(h,'xdata',x,'ydata',y3(:,i));
+    drawnow;
+    pause(0.0005)
+    i=i+1;
+    %axis=theax;
+end
+legend off
+legend('sin(2x+pi/3)')
+pause(2)
+legend('��y=sin(2x)����ƽ��pi/6')
+%y=sin(wx+pi/3)->y=2sin(wx+pi/3)
+pause
+%y=sin(wx)->y=sin(wx+pi/3)
+h=line('Color',[1 0 1],'Marker','.','MarkerSize',5,'EraseMode','Xor');
+w3=1:0.05:2;
+y4=zeros(1101,21);
+for i=1:21
+    y4=(:,i)=w3(i)*sin(w1*x'+pi/60*i);
+    set(h,'xdata',x,'ydata',y4(:,i));
+    drawnow;
+    %pause(0.0005)
+    i=i+1;
+    %axis=theax;
+end
+legend off
+legend('sin(2x+pi/3)')
+legend off
+%pause(2)
+%legend('��y=sin(2x)����ƽ��pi/6')

matlab数学建模算法/matlab经典算法的程序/Arithmetic/work/test/test_exe.m

@@ -1,3 +1,4 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:689387fbef8fe0e0a45af56e62da7296efd0e31af06f2f24388ce45bb48ba87e
-size 76
+function [out]=test_exe()
+out=100*188*sqrt(100);
+disp('out=');
+disp(out);

matlab数学建模算法/matlab经典算法的程序/Arithmetic/work/test/test_exe_main.cpp

@@ -1,3 +1,30 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:49688c22c971b673e2ae947f7d4edea3940e5a59e1950c1680372047726e9aa4
-size 1164
+//
+// MATLAB Compiler: 3.0
+// Date: Thu Sep 02 20:52:11 2004
+// Arguments: "-B" "macro_default" "-O" "all" "-O" "fold_scalar_mxarrays:on"
+// "-O" "fold_non_scalar_mxarrays:on" "-O" "optimize_integer_for_loops:on" "-O"
+// "array_indexing:on" "-O" "optimize_conditionals:on" "-p" "-W" "main" "-L"
+// "Cpp" "-t" "-T" "link:exe" "-h" "libmmfile.mlib" "test_exe.m" 
+//
+#include "libmatlb.hpp"
+#include "test_exe.hpp"
+
+extern _mexcpp_information _main_info;
+
+static mexFunctionTableEntry function_table[1]
+  = { { "test_exe", mlxTest_exe, 0, 1, &_local_function_table_test_exe } };
+
+static _mexcppInitTermTableEntry init_term_table[1]
+  = { { InitializeModule_test_exe, TerminateModule_test_exe } };
+
+_mexcpp_information _main_info
+  = { 1, 1, function_table, 0, NULL, 0, NULL, 1, init_term_table };
+
+//
+// The function "main" is a Compiler-generated main wrapper, suitable for
+// building a stand-alone application.  It calls a library function to perform
+// initialization, call the main function, and perform library termination.
+//
+int main(int argc, const char * * argv) {
+    return mwMain(argc, argv, mlxTest_exe, 1, &_main_info);
+}

matlab数学建模算法/matlab经典算法的程序/Arithmetic/work/timestwo/timestwo.c

@@ -1,3 +1,16 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:b542628bc196534ad2502430f289e19c9fc260fa2817502fbec39b7175da870e
-size 356
+#include "mex.h"
+void timestwo(double y[],double x[])
+{
+	y[0]=2.0*x[0];
+}
+void mexFunction(int nlhs,mxArray *plhs[],int nrhs,const mxArray *prhs[])
+{
+	double *x,*y;
+	int mrows,ncols;
+	mrows=mxGetM(prhs[0]);
+	ncols=mxGetN(prhs[0]);
+	plhs[0]=mxCreateDoubleMatrix(mrows,ncols,mxREAL);
+	x=mxGetPr(prhs[0]);
+	y=mxGetPr(plhs[0]);
+	timestwo(y,x);
+}

matlab数学建模算法/matlab经典算法的程序/MATLAB/tayloretc.m

@@ -1,3 +1,13 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:1c408b99f570b86b12ee011ad27892af056af848638cc615d5b00a002f50350e
-size 199
+clear
+clc
+syms x; 
+f='x^2*(sin(x))^2';
+diff(f); 
+f1=simple(ans)
+diff(f,x,2); 
+f2=simple(ans)
+diff(f,x,3); 
+f3=simple(ans)
+diff(f,x,4); f4=simple(ans)
+int(f4,x)
+taylor(x^2*(sin(x))^2,15,x)

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/biology.m

@@ -1,3 +1,14 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:db570d8c947d75893242e15da377b6fa2773e196d7e69ecd902f98658ec4156a
-size 188
+clear;
+n=10000;
+x=zeros(n,1);
+   x(1)=0.1;
+   i=1;
+   while i<n
+      x(i+1)=4*x(i)*(1-x(i));
+      i=i+1;
+   end
+   for j=31:n
+      plot(j,x(j),'b*')
+      hold on
+   end
+

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/boyin.m

@@ -1,3 +1,18 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:07ea1d70a75c9d664db1ccf17ab573954b9b203a4ab6d5c6ec3ab8f5c1d77dae
-size 248
+h=0.5;
+a=0;
+b=8;
+n=80;
+d=(b-a)/n;
+for i=1:n+1
+   pr(i)=a+(i-1)*d;
+   p=pr(i);
+   n=-78*p^2+655*p+125;
+   x=h*n;
+   r=p*x;
+   c=50+1.5*x+8*x^(3/4);
+   l(i)=r-c;
+end
+plot(pr,l);
+grid on
+xlabel('Price:p');
+title ('Profit Curve:R(p)');

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/df1.m

@@ -1,3 +1,3 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:aae7df0696c32bba70412a801457c7b765b347be27d3ba17254e5fa9e0244962
-size 42
+function b=df1(x)
+b=zeros(1,1);
+b=2*x+1;

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/df2.m

@@ -1,3 +1,12 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:b710a5c86830b4be731d88ce35108dfb18af9907535f60cb93a58128314add84
-size 190
+function A=df2(x);
+n=3;
+A=zeros(n,n);
+A(1,1)=2*x(1)-10;
+A(1,2)=2*x(2);
+A(1,3)=1;
+A(2,1)=x(2)^2;
+A(2,2)=2*x(1)*x(2);
+A(2,3)=2*x(3)-2;
+A(3,1)=2*x(1);
+A(3,2)=2*x(2)-3;
+A(3,3)=2*x(3);

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/diechaos.m

@@ -1,3 +1,24 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:9f88891e1f2903440b0b40c9f7955bc907df349d1dd5f2cff9fec9cdb3dd40f8
-size 252
+clear;
+n0=50;
+n=100;
+x=zeros(n,1);
+for r=1.7:0.01:3.6
+   x(1)=0.5;
+   i=1;
+   while i<n
+      x(i+1)=r*x(i)*(1-x(i));
+      i=i+1;
+   end
+   for j=n0:n
+      plot(r,x(j),'b*')
+      hold on
+   end
+end
+
+
+
+   
+      
+      
+   
+   

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/erfenfa.m

@@ -1,3 +1,19 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:9d7775e2932eb42cbb10027c95b10bc1b9e3d2e154ef58bb5509b2d09ab3cf27
-size 260
+function [U,step]=erfenfa(a,b)
+k=0;
+e=ones(1,1);
+while norm(e,2)>1e-6
+   x=(a+b)/2;
+   k=k+1;
+   if f1(x)==0
+      exit
+   elseif f1(x)*f1(a)<0
+      b=x;
+      e=b-a;
+   elseif f1(x)*f1(b)<0
+      a=x;
+      e=b-a;
+   end
+end
+U=x;
+step=k;
+

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/exampleg.m

@@ -1,3 +1,8 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:8bf6b5794b74f5167b3f271ac38abd641bd7fc00245a98bc387cfbf2199cd424
-size 153
+a=[1 2 4 1 7;2 3 0 1 8;4 1 7 6 1;1 1 0 2 1;1 3 0 1 1]
+b=[15 14 19 5 6]'
+r=[a,b]
+n=5;
+[A,x]=gauss(r,n);
+disp('the solution of the equations:');
+A
+x

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/exampleg1.m

@@ -1,3 +1,13 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:8b681f1ac9834c0e935c391c79b6c7c745e56eee4b31b8e607bb10ec63025692
-size 428
+a=[0 1 -1 1 0 0 0 0 0 0;0 0 0 1 1 0 0 0 0 0;0 0 0 0 0 -1 1 0 0 0;
+   1 1 0 0 0 0 0 0 0 0;1 0 0 0 1 0 0 0 0 0;0 0 0 0 0 0 1 1 0 0;
+   0 0 0 0 0 0 0 0 1 0;0 0 0 0 0 0 0 0 -1 1;0 0 0 0 0 0 0 0 0 1;
+   0 0 1 0 0 1 0 1 0 0];
+%a=[1 2 4 1 7;2 3 0 1 8;4 1 7 6 1;1 1 0 2 1;1 3 0 1 1]
+%b=[15 14 19 5 6]'
+b=[300 500 200 800 800 1000 400 200 600 1000]';
+%n=5;
+n=10;
+[A,x]=gauss1(r,n);
+disp('the solution of the equations:');
+A
+x

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/examplegs.m

@@ -1,3 +1,10 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:73b8fdd92d921b7564bbc8535671e94453d96a049f0ea97fc46e8620d1a06e7f
-size 157
+clear;
+a=[1 0 3 0;0 2 1 2;3 1 15 0;0 2 0 4];
+b=[1 6 5 8]';
+n=4;
+u=zeros(n,1);
+[X,K]=gausei(a,b,n,u);
+disp('������Ľ�:');
+X
+disp('�����Ĵ�����')
+K

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/examplejac.m

@@ -1,3 +1,10 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:c8997fe0087961046217953657e4e8cec92e6d7c31a9b9489b548ff393cb0dcb
-size 154
+clear;
+a=[1 0 3 0;0 2 1 2;3 1 15 0;0 2 0 4];
+b=[1 6 5 8]';
+n=4;
+u=zeros(n,1);
+[X,K]=jac(a,b,n,u);
+disp('������Ľ�:');
+X
+disp('�����Ĵ�����')
+K

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/examplesor.m

@@ -1,3 +1,22 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:d93a53b78451f8bdbce919de8ce6e34f2cc79050c0148cf0836c3cfbef509614
-size 294
+clear;
+a=[4 -2 -4;-2 17 10;-4 10 9];
+b=[10 3 -7]';
+n=3;
+u=zeros(n,1);
+w=1;
+[X1,K1]=sor(a,b,n,u,w);
+disp('���ɳ�ϵ��:')
+w
+disp('������Ľ�:');
+X1
+disp('�����Ĵ�����')
+K1
+w=1.46;
+[X2,K2]=sor(a,b,n,u,w);
+disp('���ɳ�ϵ��:')
+w
+disp('������Ľ�:');
+X2
+disp('�����Ĵ�����')
+K2
+

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/f1.m

@@ -1,3 +1,3 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:28f059378380f5e07449ecbb72adc5604c9005c59c6a44531ff71ff00aefa613
-size 47
+function f=f1(x);
+f=zeros(1,1);
+f=x^2+x-14;

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/f2.m

@@ -1,3 +1,7 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:2a9b3a5379ba9e964f628789b7d45c213746cfbfd57783be73fd31f45d5213e7
-size 145
+function f=f2(x)
+n=3;
+f=zeros(n,1);
+f(1)=x(1)^2-10*x(1)+x(2)^2+x(3)+7;
+f(2)=x(1)*x(2)^2+x(3)^2-2*x(3);
+f(3)=x(1)^2+x(2)^2-3*x(2)+x(3)^2;
+

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/gausei.m

@@ -1,3 +1,40 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:f5b6bbe3d0b818bdc12adcce0c3cdc6e53e7abbd1adc7054cb292dad1b007701
-size 686
+%Gauss-Seidel��������
+function [x,sp]=gausei(a,b,n,x1)
+%���
+e=ones(n,1);
+%�����Ľ�����
+x2=zeros(n,1);
+%�����Ĵ���
+k=0;
+%�����û������Ҫ��ʱ��������
+while norm(e,2)>1e-6
+   %ÿ��5����ʾ�������
+   if (rem(k,5)==0)
+      str=sprintf('X%d= %g %g %g %g\n',k,x1);
+      disp(str)
+   end
+   k=k+1;
+   %����x2��i��
+   for i=1:n
+      s1=0;
+      s2=0;
+      if i-1>0
+         for j=1:i-1
+            s1=s1+a(i,j)*x2(j);
+         end
+      end
+      for j=i+1:n
+         s2=s2+a(i,j)*x1(j);
+      end
+      
+      x2(i)=(b(i)-s1-s2)/a(i,i);
+   end
+   %�����������
+   e=x2-x1;
+   %��x2��Ϊ�µĵ�����ֵ
+   x1=x2;
+end
+%���ص�������
+sp=k;
+%���ص���ֵ
+x=x2;

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/gauss.m

@@ -1,3 +1,32 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:c9bd6682ecb51c00c51b1d83a398dfb187df218fa0a5c8364e6e3965c5fba532
-size 645
+%˳��gauss��ȥ����gauss����
+function [A,u]=gauss(a,n)
+for k=1:n-1
+   %��ȥ����
+   for i=k+1:n
+      for  j=k+1:n+1
+         %���a(k,k)=0,������ȥ
+         if abs(a(k,k))>1e-6
+            %�����k�����������
+            a(i,j)=a(i,j)-a(i,k)/a(k,k)*a(k,j);
+         else
+            %a(k,k)=0,˳��gauss��ȥʧ��
+            disp('˳��gauss��ȥʧ��');
+            pause;
+            exit;
+         end
+      end
+   end
+end
+%�ش�����
+x(n)=a(n,n+1)/a(n,n);
+for i=n-1:-1:1
+   s=0;
+   for j=i+1:n
+      s=s+a(i,j)*x(j);
+   end
+   x(i)=(a(i,n+1)-s)/a(i,i);
+end
+%����gauss��ȥ����������
+A=triu(a);
+%���ط�����Ľ�
+u=x;

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/gauss1.m

@@ -1,3 +1,46 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:5f338405039e955f2b46a82116243286d0884324995ce1ed6f0626dd029e0ac8
-size 795
+%����Ԫgauss��ȥ����
+function [A,u]=gauss(a,n)
+%��ȥ����
+for k=1:n-1
+   %ѡ��Ԫ
+   c=0;
+   for q=k:n
+      if abs(a(q,k))>c
+         c=a(q,k);
+         l=q;
+      end
+   end
+   %�����ԪΪ0�������A������
+   if abs(c)<1e-10
+      disp('error');
+      pause;
+      exit;
+   end
+   %���l������k���򽻻���l�к͵�k��
+   if l~=k 
+      for q=k:n+1
+         temp=a(k,q);
+         a(k,q)=a(l,q);
+         a(l,q)=temp;
+      end
+   end
+   %�����k����Ԫ��ֵ
+   for i=k+1:n
+      for  j=k+1:n+1
+         a(i,j)=a(i,j)-a(i,k)/a(k,k)*a(k,j);
+      end
+   end
+end
+%�ش�����
+x(n)=a(n,n+1)/a(n,n);
+for i=n-1:-1:1
+   s=0;
+   for j=i+1:n
+      s=s+a(i,j)*x(j);
+   end
+   x(i)=(a(i,n+1)-s)/a(i,i);
+end
+%��������Ԫgauss��ȥ����������
+A=triu(a);
+%���ط�����Ľ�
+u=x;

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/gexian.m

@@ -1,3 +1,14 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:097e31eff9a8cbeafbef931afacb1f3db144531d63cb5c026ec104caec3688fb
-size 241
+function [x,step]=newton2(x0,n)
+x(1)=x0;
+b=1;
+i=1;
+while (abs(b)>eps*x(i))
+   x(i+1)=x(i)-f1(x(i))*(x(i)-x(i-1))/(f1(x(i))-f1(x(i-1)));
+   b=x(i+1)-x(i);
+   i=i+1;
+   if i>n
+      error('n is full');
+   end
+end
+x=x(i);
+step=i;

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/jac.m

@@ -1,3 +1,33 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:b51bd17f3c355af3bd3c3d37ad599d12f89b5c2916446ca34b6a13239d82f09c
-size 559
+%Jacobian��������
+function [x,sp]=jac(a,b,n,x1)
+%���
+e=ones(n,1);
+%�����Ľ�����
+x2=zeros(n,1);
+%�����Ĵ���
+k=0;
+%�����û������Ҫ��ʱ��������
+while norm(e,2)>1e-6
+   %ÿ��5����ʾ�������
+   if (rem(k,5)==0)
+      str=sprintf('X%d= %g %g %g %g\n',k,x1);
+      disp(str)
+   end
+   k=k+1;
+   %����x2��i��
+   for i=1:n
+      s=0;
+      for j=1:n
+         s=s+a(i,j)*x1(j);
+      end
+      x2(i)=(b(i)-s)/a(i,i)+x1(i);
+   end
+   %�����������
+   e=x2-x1;
+   %��x2��Ϊ�µĵ�����ֵ
+   x1=x2;
+end
+%���ص�������
+sp=k;
+%���ص���ֵ
+x=x2;

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/mainerfen.m

@@ -1,3 +1,5 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:db726a577da51f4ef09fdfc15d6f06b0da2604f7824450363443e5e7294d1a1d
-size 37
+a=3;
+b=4;
+[x,k]=erfenfa(a,b);
+x
+k

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/maingexian.m

@@ -1,3 +1,5 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:f16b19c4dc581a78256db01f8234d5ebb56db3e9549e6e4f375a7861f1eac019
-size 43
+x0=0;
+n=100;
+[x,k]=newton1(x0,n);
+x
+k

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/mainnewton.m

@@ -1,3 +1,12 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:be005f5f92cb583cb6a71bf87ef1471e47124a58cee9642cebc225d8870f75b3
-size 152
+n=3;
+u=[0 0 0]';
+disp('��ʼֵx=[0 0 0]�Ľ����');
+[X,k]=newton(u,n);
+X
+k
+
+u=[8 8 8]';
+disp('��ʼֵx=[8 8 8]�Ľ����');
+[X,k]=newton(u,n);
+X
+k

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/mainnewton1.m

@@ -1,3 +1,5 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:f16b19c4dc581a78256db01f8234d5ebb56db3e9549e6e4f375a7861f1eac019
-size 43
+x0=0;
+n=100;
+[x,k]=newton1(x0,n);
+x
+k

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/newton.m

@@ -1,3 +1,14 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:2c89aa2c320d98c13a2bcb7234da85f21a04d9d1650de51c18e322167959515c
-size 213
+function [U,step]=newton(X,n)
+k=0;
+e=ones(n,1);
+while norm(e,2)>1e-6
+   str=sprintf('X%d= %g %g %g\n',k,X);
+   disp(str)
+   k=k+1;
+   A=df2(X);
+   dX=inv(A)*f2(X);
+   X=X-dX;
+   e=dX;
+end
+U=X;
+step=k;

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/newton1.m

@@ -1,3 +1,15 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:0b59d13cac7d0013fd219476bad27fdbbc1c54eae7744ba03f359a2e344018ff
-size 217
+function [x,step]=newton1(x0,n)
+x(1)=x0;
+b=1;
+i=1;
+while (abs(b)>eps*x(i))
+   x(i+1)=x(i)-f1(x(i))/df1(x(i));
+   b=x(i+1)-x(i);
+   i=i+1;
+   if i>n
+      error('n is full');
+   end
+end
+x=x(i);
+step=i;
+

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/sor.m

@@ -1,3 +1,39 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:242285a56b83848da1b62b34261cf697d02431fefcb15018ea4c74e98bf8423c
-size 697
+%Successive Over Relaxation��������
+function [x,sp]=sor(a,b,n,x1,w)
+%���
+e=ones(n,1);
+%�����Ľ�����
+x2=zeros(n,1);
+%�����Ĵ���
+k=0;
+%�����û������Ҫ��ʱ��������
+while norm(e,2)>1e-6
+   %ÿ��5����ʾ�������
+   if (rem(k,5)==0)
+      str=sprintf('X%d= %g %g %g %g\n',k,x1);
+      disp(str)
+   end
+   k=k+1;
+   %����x2��i��
+   for i=1:n
+      s1=0;
+      s2=0;
+      if i-1>0
+         for j=1:i-1
+            s1=s1+a(i,j)*x2(j);
+         end
+      end
+      for j=i:n
+         s2=s2+a(i,j)*x1(j);
+      end
+      x2(i)=x1(i)+w*(b(i)-s1-s2)/a(i,i);
+   end
+   %�����������
+   e=x2-x1;
+   %��x2��Ϊ�µĵ�����ֵ
+   x1=x2;
+end
+%���ص�������
+sp=k;
+%���ص���ֵ
+x=x2;

matlab数学建模算法/matlab经典算法的程序/math_exp/代数方程组的解法/sparfull.m

@@ -1,3 +1,20 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:5f0725db12dd7f37cb2a00a3b3b5eb4752b3fd12488fff34c11f1bb7a7382dfd
-size 222
+n=1000;
+b=[1:n]';
+a1=sparse(1:n,1:n,1,n,n);
+a2=sparse(2:n,1:n-1,1,n,n);
+a=a1+a2+a2';
+tic;
+x=a\b;
+t1=toc;
+aa=full(a);
+tic;
+xx=aa\b;
+t2=toc;
+y=sum(x);
+yy=sum(xx);
+tic;
+eig(a);
+t3=toc
+tic;
+eig(aa);
+t4=toc

matlab数学建模算法/matlab经典算法的程序/math_exp/优化问题实验/fun1.m

@@ -1,3 +1,3 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:dbaf3b00127f12bd5563fa2274175fd3f4a59c7c1308adf192d0c4a333c63242
-size 131
+function [f,g]=fun1(x)
+f=exp(x(1))*(4*x(1)^2+2*x(2)^2+4*x(1)*x(2)+2*x(2)+1);
+g=[x(1)+x(2);1.5+x(1)*x(2)-x(1)-x(2);-x(1)*x(2)-10];

matlab数学建模算法/matlab经典算法的程序/math_exp/优化问题实验/funconstr.m

@@ -1,3 +1,4 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:7dab480c4dd86893771333edd6f21b813161bfe1979e962f2dce8493705e5822
-size 105
+x0=[-1;1];
+options(13)=1;%g�е�һ��Լ������Ϊ��ʽԼ��
+[x,options]=constr('fun1',x0,options)
+options(8)

matlab数学建模算法/matlab经典算法的程序/math_exp/优化问题实验/funfmins.m

@@ -1,3 +1,4 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:af2bdbc1924cdcedbe24fcd6e0757294543059b4ed8707389e114cc5ec50ee29
-size 151
+options(6)=1;%��ţ�ٷ���DFP��ʽ
+[x,options]=fmins('funrosen',[-1.2,2],options)
+y=options(8) %��������ֵ��ĺ���ֵ
+n=options(10)%���������������

matlab数学建模算法/matlab经典算法的程序/math_exp/优化问题实验/funfminu.m

@@ -1,3 +1,5 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:13bbccdf960943b40f13aa5e2cd3e436e71f9727f280c3f1782fa6405ed85cc5
-size 191
+options(6)=1;%��ţ�ٷ���DFP��ʽ
+options(7)=0;%��ϵĶ����ͺ������Ͳ�ֵ
+[x,options]=fminu('funrosen',[-1.2,2],options)
+y=options(8) %��������ֵ��ĺ���ֵ
+n=options(10)%���������������

matlab数学建模算法/matlab经典算法的程序/math_exp/优化问题实验/funrosen.m

@@ -1,3 +1,2 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:a35cec4352749ab56c64073fe6e6ebdffbc356859b1fac0557a81afbbccc6c59
-size 60
+function f=funrosen(x)
+f=100*(x(2)-x(1).^2).^2+(1-x(1)).^2;

matlab数学建模算法/matlab经典算法的程序/math_exp/优化问题实验/rosen.m

@@ -1,3 +1,12 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:41283ec77a7a0e23b10c6adae986ab824ec36775d4f5c65f1a32123ea8de9736
-size 221
+[x,y]=meshgrid(-2:0.1:2,-1:0.1:3);
+z=100*(y-x.^2).^2+(1-x).^2;
+figure(1);
+mesh(x,y,z)
+figure(2);
+contour(x,y,z,20)
+drawnow
+hold on
+plot(-1.2,2,'o');
+text(-1.2,2,'start point')
+plot(1,1,'o')
+text(1,1,'solution')

matlab数学建模算法/matlab经典算法的程序/math_exp/微分方程实验/chase1.m

@@ -1,3 +1,4 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:7ee6e8ee3429787d9c44c399d6dcceb5412c432c63c521896bc8383bf5a6813d
-size 78
+clear
+x=0:0.01:1;
+y=-5*(1-x).^(4/5)/8+5*(1-x).^(6/5)/12+5/24;
+plot(x,y,'*')

matlab数学建模算法/matlab经典算法的程序/math_exp/微分方程实验/chase2.m

@@ -1,3 +1,9 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:168024bc6fe588cb7536cb77bc171a3297dc187383c13360271d3e3a470f2584
-size 119
+t0=0;
+tf=2;
+[t,y]=ode45('eq2',[t0 tf],[0 0]);
+X=1;
+Y=0:0.01:2;
+plot(X,Y,'-')
+hold on
+plot(y(:,1),y(:,2),'*')
+

matlab数学建模算法/matlab经典算法的程序/math_exp/微分方程实验/chase3.m

@@ -1,3 +1,9 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:69340c392d937215f12de14f45d91ca4d2101cd40de4a98803da28dfd4752a4f
-size 150
+t0=0;tf=3.75;
+[t,y]=ode45('eq3',[t0 tf],[0 0]);
+T=0:0.1:2*pi;
+X=10+20*cos(T);
+Y=20+15*sin(T);
+plot(X,Y,'-')
+hold on
+plot(y(:,1),y(:,2),'*')
+

matlab数学建模算法/matlab经典算法的程序/math_exp/微分方程实验/chase4.m

@@ -1,3 +1,9 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:7b263d70cb05fb410132e7b7519ebc13ff5de92515be907291183635ae266897
-size 149
+t0=0;tf=200;
+[t,y]=ode45('eq4',[t0 tf],[0 0]);
+T=0:0.1:2*pi;
+X=10+20*cos(T);
+Y=20+15*sin(T);
+plot(X,Y,'-')
+hold on
+plot(y(:,1),y(:,2),'*')
+

matlab数学建模算法/matlab经典算法的程序/math_exp/微分方程实验/eq1.m

@@ -1,3 +1,4 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:ef75573f07ce648d86b2f124f5376c812ee6b788ea11651b89d0dfa95382d643
-size 98
+   function dy=eq1(x,y)
+    dy=zeros(2,1);
+    dy(1)=y(2);
+    dy(2)=1/5*sqrt(1+y(1)^2)/(1-x); 

matlab数学建模算法/matlab经典算法的程序/math_exp/微分方程实验/eq2.m

@@ -1,3 +1,5 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:cfd5a595918dbdf98b8f7ebaf18f2929207c400cbbcc7a900b480f20fcc72188
-size 134
+function dy=eq2(t,y)
+dy=zeros(2,1);
+dy(1)=5*(1-y(1))/sqrt((1-y(1))^2+(t-y(2))^2);
+dy(2)=5*(t-y(2))/sqrt((1-y(1))^2+(t-y(2))^2);
+

matlab数学建模算法/matlab经典算法的程序/math_exp/微分方程实验/eq3.m

@@ -1,3 +1,5 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:22e146c90c0302664f9458f598d6ff941a6269c5e1b860d051f048d3e9936ca5
-size 202
+function dy=eq3(t,y)
+dy=zeros(2,1);
+dy(1)=20*(10+20*cos(t)-y(1))/sqrt((10+20*cos(t)-y(1))^2+(20+15*sin(t)-y(2))^2);
+dy(2)=20*(20+15*sin(t)-y(2))/sqrt((10+20*cos(t)-y(1))^2+(20+15*sin(t)-y(2))^2);
+

matlab数学建模算法/matlab经典算法的程序/math_exp/微分方程实验/eq4.m

@@ -1,3 +1,5 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:6a7b025d894a92d50d7fb9fcb4b5cc6f610a81e6ce5915688872c9e7b5793e7c
-size 200
+function dy=eq4(t,y)
+dy=zeros(2,1);
+dy(1)=5*(10+20*cos(t)-y(1))/sqrt((10+20*cos(t)-y(1))^2+(20+15*sin(t)-y(2))^2);
+dy(2)=5*(20+15*sin(t)-y(2))/sqrt((10+20*cos(t)-y(1))^2+(20+15*sin(t)-y(2))^2);
+