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<html xmlns:o="urn:schemas-microsoft-com:office:office"xmlns:w="urn:schemas-microsoft-com:office:word"xmlns="http://www.w3.org/TR/REC-html40"><head><meta http-equiv=Content-Type content="text/html; charset=GB2312"><meta name=ProgId content=Word.Document><meta name=Generator content="Microsoft Word 9"><meta name=Originator content="Microsoft Word 9"><link rel=File-List href="./No21_2.files/filelist.xml"><title>高斯算法(2)</title><!--[if gte mso 9]><xml> <o:DocumentProperties> <o:Author>a</o:Author> <o:LastAuthor>a</o:LastAuthor> <o:Revision>1</o:Revision> <o:TotalTime>1</o:TotalTime> <o:Created>1996-12-31T17:05:00Z</o:Created> <o:LastSaved>1996-12-31T17:06:00Z</o:LastSaved> <o:Pages>2</o:Pages> <o:Words>223</o:Words> <o:Characters>1273</o:Characters> <o:Company>aa</o:Company> <o:Lines>10</o:Lines> <o:Paragraphs>2</o:Paragraphs> <o:CharactersWithSpaces>1563</o:CharactersWithSpaces> <o:Version>9.2812</o:Version> </o:DocumentProperties></xml><![endif]--><!--[if gte mso 9]><xml> <w:WordDocument> <w:PunctuationKerning/> <w:DrawingGridVerticalSpacing>7.8 磅</w:DrawingGridVerticalSpacing> <w:DisplayHorizontalDrawingGridEvery>0</w:DisplayHorizontalDrawingGridEvery> <w:DisplayVerticalDrawingGridEvery>2</w:DisplayVerticalDrawingGridEvery> <w:Compatibility> <w:SpaceForUL/> <w:BalanceSingleByteDoubleByteWidth/> <w:DoNotLeaveBackslashAlone/> <w:ULTrailSpace/> <w:DoNotExpandShiftReturn/> <w:AdjustLineHeightInTable/> <w:UseFELayout/> </w:Compatibility> </w:WordDocument></xml><![endif]--><style><!-- /* Font Definitions */@font-face {font-family:宋體; panose-1:2 1 6 0 3 1 1 1 1 1; mso-font-alt:SimSun; mso-font-charset:134; mso-generic-font-family:auto; mso-font-pitch:variable; mso-font-signature:3 135135232 16 0 262145 0;}@font-face {font-family:"\@宋體"; panose-1:2 1 6 0 3 1 1 1 1 1; mso-font-charset:134; mso-generic-font-family:auto; mso-font-pitch:variable; mso-font-signature:1 135135232 16 0 262144 0;} /* Style Definitions */p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; text-align:justify; text-justify:inter-ideograph; mso-pagination:none; font-size:10.5pt; mso-bidi-font-size:12.0pt; font-family:"Times New Roman"; mso-fareast-font-family:宋體; mso-font-kerning:1.0pt;} /* Page Definitions */@page {mso-page-border-surround-header:no; mso-page-border-surround-footer:no;}@page Section1 {size:595.3pt 841.9pt; margin:72.0pt 90.0pt 72.0pt 90.0pt; mso-header-margin:42.55pt; mso-footer-margin:49.6pt; mso-paper-source:0; layout-grid:15.6pt;}div.Section1 {page:Section1;}--></style></head><body lang=ZH-CN style='tab-interval:21.0pt;text-justify-trim:punctuation' bgcolor="#e8ffe8"><div class=Section1 style='layout-grid:15.6pt'><p class=MsoNormal align=center style='text-align:center'><spanstyle='font-family:宋體;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>高斯算法</span><span lang=EN-US>(2)</span></p><p class=MsoNormal><span lang=EN-US>/* </span><span style='font-family:宋體;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>高斯列主元消去法解線代數方程組</span><spanlang=EN-US> */<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US>#include "math.h"<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US>#include "stdio.h"<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US>#include "stdlib.h"<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US>void max_ele(double af[][21],int n,intk)<span style="mso-spacerun: yes"> </span>/* </span><spanstyle='font-family:宋體;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>選主元</span><span lang=EN-US> */<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun: yes"> </span>{double max1,t;<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>int i,j;<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>max1=af[k][k]; i=k;<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>for (j=k+1;j<=n;j++)<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>if(fabs(af[j][k])>fabs(max1)) i=j;<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>if(i>k)<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>for (j=k;j<=n+1;j++)<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>{t=af[i][j],af[i][j]=af[k][j],af[k][j]=t;}<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun: yes"> </span>}<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US>int gauss(double a[][20],double f[],doublex[],int n)<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US>/* Guass </span><span style='font-family:宋體;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>消去法</span><spanlang=EN-US>,</span><span style='font-family:宋體;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>引入</span><span lang=EN-US>af[20[21],x[]</span><spanstyle='font-family:宋體;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>是為了不改變矩陣</span><span lang=EN-US>a[][],f[]<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span></span><span style='font-family:宋體;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>及簡化程序</span><spanlang=EN-US><span style="mso-spacerun: yes"> </span>*/<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>{int i,j,k;<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun: yes"> </span>double af[20][21],del,t;<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun: yes"> </span>for(i=1;i<=n;i++)<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>{ for(j=1;j<=n;j++)<span style="mso-spacerun:yes"> </span>af[i][j]=a[i][j];<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>af[i][n+1]=f[i];<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>}<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun: yes"> </span>for (k=1;k<n;k++)<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>{ max_ele(af,n,k);<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>del=af[k][k];<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>if (fabs(del)<1e-7)<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style='mso-tab-count:1'> </span>{printf("Single!press any key return...\n");<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style='mso-tab-count:1'> </span><spanstyle="mso-spacerun: yes"> </span>getchar();<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style='mso-tab-count:1'> </span><spanstyle="mso-spacerun: yes"> </span>return 0;}<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>for (j=k;j<=n+1;j++)<spanstyle="mso-spacerun: yes"> </span>af[k][j]/=del;<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>for (i=k+1;i<=n;i++)<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style='mso-tab-count:1'> </span>{t=af[i][k];<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style='mso-tab-count:1'> </span><spanstyle="mso-spacerun: yes"> </span>for (j=k;j<=n+1;j++)<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style='mso-tab-count:1'> </span><spanstyle="mso-spacerun: yes"> </span>af[i][j]-=af[k][j]*t;<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style='mso-tab-count:1'> </span>}<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>}<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun: yes"> </span>del=af[n][n];<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun: yes"> </span>for (j=n;j<=n+1;j++) af[n][j]/=del;<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun: yes"> </span>for (j=1;j<=n;j++) x[j]=af[j][n+1];<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun: yes"> </span>for (i=n-1;i>0;i--)<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>for (j=n;j>i;j--)<span style="mso-spacerun:yes"> </span>x[i]-=x[j]*af[i][j];<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun: yes"> </span>return 1;<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>}<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US>main()<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>{ double a[20][20], f[20],x[20];<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>int i,j,n;<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>printf("Input n(<20)");<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>scanf("%d",&n);<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>/* </span><span style='font-family:宋體;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>隨機生成系數矩陣及右端項</span><spanlang=EN-US>,</span><span style='font-family:宋體;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>進行檢驗</span><span lang=EN-US> */<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>for (i=1;i<=n;i++)<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>for (j=1;j<=n;j++)a[i][j]=(float)rand()/100.0;<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>for (i=1;i<=n;i++)<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>{ for (j=1;j<=n;j++) printf("%8.4f",a[i][j]);<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>printf("\n");}<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>for (i=1;i<=n;i++)<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>{ f[i]=0;<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>for (j=1;j<=n;j++)f[i]+=a[i][j];<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>}<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>gauss(a,f,x,n);<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>for (i=1;i<=n;i++)<span style="mso-spacerun:yes"> </span>printf("%lf ",x[i]);<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>printf("\n");<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><span style="mso-spacerun:yes"> </span>}</span></p></div></body></html>?? 快捷鍵說明
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