Matlab 实现高斯消元LU分解.zip

function varargout = main(varargin) % MAIN MATLAB code for main.fig % MAIN, by itself, creates a new MAIN or raises the existing % singleton*. % % H = MAIN returns the handle to a new MAIN or the handle to % the existing singleton*. % % MAIN('CALLBACK',hObject,eventData,handles,...) calls the local % function named CALLBACK in MAIN.M with the given input arguments. % % MAIN('Property','Value',...) creates a new MAIN or raises the % existing singleton*. Starting from the left, property value pairs are % applied to the GUI before main_OpeningFcn gets called. An % unrecognized property name or invalid value makes property application % stop. All inputs are passed to main_OpeningFcn via varargin. % % *See GUI Options on GUIDE's Tools menu. Choose "GUI allows only one % instance to run (singleton)". % % See also: GUIDE, GUIDATA, GUIHANDLES % Edit the above text to modify the response to help main % Last Modified by GUIDE v2.5 10-May-2020 22:49:48 % Begin initialization code - DO NOT EDIT gui_Singleton = 1; gui_State = struct('gui_Name', mfilename, ... 'gui_Singleton', gui_Singleton, ... 'gui_OpeningFcn', @main_OpeningFcn, ... 'gui_OutputFcn', @main_OutputFcn, ... 'gui_LayoutFcn', [] , ... 'gui_Callback', []); if nargin && ischar(varargin{1}) gui_State.gui_Callback = str2func(varargin{1}); end if nargout [varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:}); else gui_mainfcn(gui_State, varargin{:}); end % End initialization code - DO NOT EDIT % --- Executes just before main is made visible. function main_OpeningFcn(hObject, eventdata, handles, varargin) % This function has no output args, see OutputFcn. % hObject handle to figure % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) % varargin command line arguments to main (see VARARGIN) % Choose default command line output for main handles.output = hObject; % Update handles structure guidata(hObject, handles); % UIWAIT makes main wait for user response (see UIRESUME) % uiwait(handles.figure1); % --- Outputs from this function are returned to the command line. function varargout = main_OutputFcn(hObject, eventdata, handles) % varargout cell array for returning output args (see VARARGOUT); % hObject handle to figure % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) % Get default command line output from handles structure varargout{1} = handles.output; % --- Executes on button press in pushbutton1. function pushbutton1_Callback(hObject, eventdata, handles) % hObject handle to pushbutton1 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) %% 逆矩阵 A = str2num((get(handles.edit1,'String'))); b = str2num((get(handles.edit2,'String'))); n=length(b); x1=inv(A)*b; R = num2str(x1); set(handles.edit3,'String',R,'max',8); handles.x1=x1; guidata(hObject, handles); % --- Executes on button press in pushbutton2. function pushbutton2_Callback(hObject, eventdata, handles) % hObject handle to pushbutton2 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) %% 三角形法 A = str2num((get(handles.edit1,'String'))); b = str2num((get(handles.edit2,'String'))); n=length(b); x4=sanjiao(A,b,n)'; R = num2str(x4); wucha=mean(x4-handles.x1);wucha=roundn(wucha,-4); set(handles.edit3,'String',R,'max',8); set(handles.edit4,'String',['三角方程组解法平均误差=',num2str(wucha)],'max',8); handles.x4=x4; guidata(hObject, handles); % --- Executes on button press in pushbutton3. function pushbutton3_Callback(hObject, eventdata, handles) % hObject handle to pushbutton3 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) %% 高斯消元法 A = str2num((get(handles.edit1,'String'))); b = str2num((get(handles.edit2,'String'))); n=length(b); x2=guass(n,A,b) R = num2str(x2); wucha=mean(x2-handles.x1);wucha=roundn(wucha,-4); set(handles.edit3,'String',R,'max',8); set(handles.edit4,'String',['高斯消元法平均误差=',num2str(wucha)],'max',8); handles.x2=x2; guidata(hObject, handles); % --- Executes on button press in pushbutton4. function pushbutton4_Callback(hObject, eventdata, handles) % hObject handle to pushbutton4 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) %% 列消元 A = str2num((get(handles.edit1,'String'))); b = str2num((get(handles.edit2,'String'))); n=length(b); x5=Lie_Gauss(A,b,n); R = num2str(x5); wucha=mean(x5-handles.x1);wucha=roundn(wucha,-4); set(handles.edit3,'String',R,'max',8); set(handles.edit4,'String',['列主元消元法平均误差=',num2str(wucha)],'max',8); handles.x5=x5; guidata(hObject, handles); % --- Executes on button press in pushbutton5. function pushbutton5_Callback(hObject, eventdata, handles) % hObject handle to pushbutton5 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) %% LU分解 A = str2num((get(handles.edit1,'String'))); b = str2num((get(handles.edit2,'String'))); n=length(b); x3=Lu_Decomplete(n,A,b) R = num2str(x3); wucha=mean(x3-handles.x1);wucha=roundn(wucha,-4); set(handles.edit3,'String',R,'max',8); set(handles.edit4,'String',['LU分解平均误差=',num2str(wucha)],'max',8); handles.x3=x3; guidata(hObject, handles); % --- Executes on button press in pushbutton6. function pushbutton6_Callback(hObject, eventdata, handles) % hObject handle to pushbutton6 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) %% 雅可比矩阵 A = str2num((get(handles.edit1,'String'))); b = str2num((get(handles.edit2,'String'))); n=length(b); x6=jacobi(A,b,n) R = num2str(x6); wucha=mean(x6-handles.x1);wucha=roundn(wucha,-4); set(handles.edit3,'String',R,'max',8); set(handles.edit4,'String',['雅可比迭代平均误差=',num2str(wucha)],'max',8); handles.x6=x6; guidata(hObject, handles); % --- Executes on button press in pushbutton7. function pushbutton7_Callback(hObject, eventdata, handles) % hObject handle to pushbutton7 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) %% disp('高斯-塞德尔迭代') A = str2num((get(handles.edit1,'String'))); b = str2num((get(handles.edit2,'String'))); n=length(b); x7=Gauss_Seidel(A,b,n); R = num2str(x7); wucha=mean(x7-handles.x1);wucha=roundn(wucha,-4); set(handles.edit3,'String',R,'max',8); set(handles.edit4,'String',['高斯-塞德尔迭代平均误差=',num2str(wucha)],'max',8); handles.x7=x7; guidata(hObject, handles); % --- Executes on button press in pushbutton8. function pushbutton8_Callback(hObject, eventdata, handles) % hObject handle to pushbutton8 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) %% disp('超松弛迭代') A = str2num((get(handles.edit1,'String'))); b = str2num((get(handles.edit2,'String'))); n=length(b); x8 = LinearEquations_SSOR(A, b,n); R = num2str(x8); wucha=mean(x8-handles.x1); wucha=roundn(wucha,-4); set(handles.edit3,'String',R,'max',8); set(handles.edit4,'String',['超松弛迭代平均误差=',num2str(wucha)],'max',8); handles.x8=x8; guidata(hObject, handles); function edit1_Callback(hObject, eventdata, handles) % hObject handle to edit1 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) % Hints: get(hObject,'String') returns contents of edit1 as text % st