1、,作为下轮迭代的搜索方向。下轮迭代的始点取方向进行一维搜索得极小点4)判断是否满足收敛准则。若满足则取为极小点,否则应置,返回2,继续 进行下一轮迭代。改进后的鲍威尔法程序框图如下:三 用鲍威尔法求函数程序如下:/鲍威尔法Dlg.cpp : implementation file/#include stdafx.h鲍威尔法.h鲍威尔法Dlg.h#ifdef _DEBUG#define new DEBUG_NEW#undef THIS_FILEstatic char THIS_FILE = _FILE_;#endif/ CAboutDlg dialog used for App Aboutcla
2、ss CAboutDlg : public CDialogpublic: CAboutDlg();/ Dialog Data /AFX_DATA(CAboutDlg) enum IDD = IDD_ABOUTBOX ; /AFX_DATA / ClassWizard generated virtual function overrides /AFX_VIRTUAL(CAboutDlg) protected: virtual void DoDataExchange(CDataExchange* pDX); / DDX/DDV support /AFX_VIRTUAL/ Implementatio
3、nprotected: /AFX_MSG(CAboutDlg) /AFX_MSG DECLARE_MESSAGE_MAP();CAboutDlg:CAboutDlg() : CDialog(CAboutDlg:IDD) /AFX_DATA_INIT(CAboutDlg) /AFX_DATA_INITvoid CAboutDlg:DoDataExchange(CDataExchange* pDX) CDialog:DoDataExchange(pDX); /AFX_DATA_MAP(CAboutDlg) /AFX_DATA_MAPBEGIN_MESSAGE_MAP(CAboutDlg, CDia
4、log) /AFX_MSG_MAP(CAboutDlg) / No message handlers /AFX_MSG_MAPEND_MESSAGE_MAP()/ CMyDlg dialogCMyDlg:CMyDlg(CWnd* pParent /*=NULL*/) : CDialog(CMyDlg:IDD, pParent) /AFX_DATA_INIT(CMyDlg) m_x01 = 0.0f; m_x02 = 0.0f; m_x1 = 0.0f; m_x2 = 0.0f; / Note that LoadIcon does not require a subsequent Destroy
5、Icon in Win32 m_hIcon = AfxGetApp()-LoadIcon(IDR_MAINFRAME);void CMyDlg: /AFX_DATA_MAP(CMyDlg) DDX_Text(pDX, IDC_x01, m_x01); DDX_Text(pDX, IDC_x02, m_x02); DDX_Text(pDX, IDC_x1, m_x1); DDX_Text(pDX, IDC_x2, m_x2);BEGIN_MESSAGE_MAP(CMyDlg, CDialog) /AFX_MSG_MAP(CMyDlg) ON_WM_SYSCOMMAND() ON_WM_PAINT
6、() ON_WM_QUERYDRAGICON()/ CMyDlg message handlersBOOL CMyDlg:OnInitDialog()OnInitDialog(); / Add About. menu item to system menu. / IDM_ABOUTBOX must be in the system command range. ASSERT(IDM_ABOUTBOX & 0xFFF0) = IDM_ABOUTBOX); ASSERT(IDM_ABOUTBOX AppendMenu(MF_SEPARATOR);AppendMenu(MF_STRING, IDM_
7、ABOUTBOX, strAboutMenu); / Set the icon for this dialog. The framework does this automatically / when the applications main window is not a dialog SetIcon(m_hIcon, TRUE); / Set big icon SetIcon(m_hIcon, FALSE); / Set small icon / TODO: Add extra initialization here return TRUE; / return TRUE unless
8、you set the focus to a controlOnSysCommand(UINT nID, LPARAM lParam) if (nID & 0xFFF0) = IDM_ABOUTBOX) CAboutDlg dlgAbout; dlgAbout.DoModal(); else CDialog:OnSysCommand(nID, lParam);/ If you add a minimize button to your dialog, you will need the code below/ to draw the icon. For MFC applications usi
9、ng the document/view model,/ this is automatically done for you by the framework.OnPaint() if (IsIconic() CPaintDC dc(this); / device context for painting SendMessage(WM_ICONERASEBKGND, (WPARAM) dc.GetSafeHdc(), 0); / Center icon in client rectangle int cxIcon = GetSystemMetrics(SM_CXICON); int cyIc
10、on = GetSystemMetrics(SM_CYICON); CRect rect; GetClientRect(&rect); int x = (rect.Width() - cxIcon + 1) / 2; int y = (rect.Height() - cyIcon + 1) / 2; / Draw the icon dc.DrawIcon(x, y, m_hIcon);OnPaint();/ The system calls this to obtain the cursor to display while the user drags/ the minimized wind
11、ow.HCURSOR CMyDlg:OnQueryDragIcon() return (HCURSOR) m_hIcon;OnOK() Add extra validation here /CDialog:OnOK(); UpdateData(true); int i,n; double h1,h2,h3,m,flag,X0021,d0121,d0221,d0321; /确定键的执行程序 double X0121,X0221,X0321; double F0,F1,F2,F3,e1,e2,em; double X21; double f0,f1,f2,f3; X0000=m_x01; /对初始
12、搜索点进行赋值 X0010=m_x02; d0100=1,d0110=0; /初始索索方向的确定 d0200=0,d0210=1; i=1; do F0=(X0000*X0000+2*X0010*X0010-4*X0000-2*X0000*X0010),f0=F0; /初始点函数值 h1=(4*d0100+2*d0100*X0010+2*d0110*X0000)/(2*d0100*d0100+ /确定搜索方向 4*d0110*d0110-4*d0110*d0100); X0100=X0000+h1*d0100,X0110=X0010+h1*d0110; F1=(X0100*X0100+2*X0
13、110*X0110-4*X0100-2*X0100*X0110),f1=F1; /确定F的函数值 h2=(4*d0200+2*d0200*X0110+2*d0210*X0100)/(2*d0200*d0200+ /确定搜索步长 4*d0210*d0210-4*d0210*d0200); X0200=X0100+h2*d0200 ;X0210=X0110+h2*d0210; F2=(X0200*X0200+2*X0210*X0210-4*X0200-2*X0200*X0210),f2=F2;/确定F2的函数值 e1=f0-f1; /进行判定 e2=f1-f2; if(e1e2) em=e1,m=
14、1; else em=e2,m=2; / d0300=X0200-X0000; d0310=X0210-X0010; X0300=2*X0200-X0000; X0310=2*X0210-X0010; F3=(X0300*X0300+2*X0310*X0310-4*X0300-2*X0300*X0310),f3=F3; /确定F3的函数值 while (F3=F0 & (F0-2*F2+F3)*(F0-F2-em)*(F0-F2-em)=0.5*(F0-F3)*(F0-F3) /不满足判别条件 i+; if (F2 /进行判断 else em=e2,m=2; d0300=X0200-X0000
15、; /确定新的搜索方向 d0310=X0210-X0010; X0300=2*X0200-X0000; X0310=2*X0210-X0010; F3=(X0300*X0300+2*X0310*X0310-4*X0300-2*X0300*X0310),f3=F3; else X0000=X0300,X0010=X0310; h1=(4*d0100+2*d0100*X0010+2*d0110*X0000)/(2*d0100*d0100+ if(m=1) d0100=d0300,d0110=d0310; if(m=2) d0200=d0300,d0210=d0310; h3=(4*d0300+2*
16、d0300*X0210+2*d0310*X0200)/(2*d0300*d0300+ 4*d0310*d0310-4*d0310*d0300); X0000=X0200+h3*d0300; X0010=X0210+h3*d0310; if(i=2) break; while (abs(X0200-X0000)0.001&abs(X0210-X0010)0.001);/输出极小值点X00=X0000,X10=X0010;m_x1=X00;m_x2=X10;UpdateData(false);程序运行结果:四 结论由该程序的运行结果可知,要求函数的极小值的在(10,5)处。该程序利用VC+6.0下的MFC插件,创建对话框,将运算结果很形象的表现出来。经验证,运算结果完全正确。验证了该程序的可行性。
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