欢迎来到天天文库
浏览记录
ID:44041390
大小:339.68 KB
页数:6页
时间:2019-10-18
《层次分析法实验》由会员上传分享,免费在线阅读,更多相关内容在工程资料-天天文库。
1、题日:用方根法解矩阵A的最人特征值及对应的特征向最,并将特征向最归一化,対A进行一致性检验。四、1%%%%实验平台:MATLAB7.4问题描述:已知矩阵A,它进行归一化,最后进行一致性检验实验步骤:已知矩阵A,采用方根法求解分以下的步骤:法一(方根法):用方根法来求它的最人特征值及对应的特征向址,还要对61.计算A每一行元索的乘积,耐,=匸[勺1i=12345,6W:Mj=i=12345,6122512252/251/14701/2452.计算的6次方根:i=12345,6W]=3.2711vv2
2、=3.2711yv>=1.2009vv4=0.6564w5=0.2966vv6=0.3998“3.2711、3.27111.20090.65640.2966,0.3998丿进行归一化,即6_/=!心12345,66其中工石=3.2711+3.2711+1.2009+0.6564+0.2966+0.3988=9.09491=1则W二[W],w2-«-w6]=(0.3597,0.3597,0.1320,0.0722,0.0326,0.0440)即为所求的特征向量。3.最人特征值入“狀的计算:其中,(A
3、W表示向量AW的第i个元索。AW=(2.2766,2.2766,0.8755,0.4459,0.2078,0.2745)'2.27662.27660.87550.44590.2078++++6*0.35976*0.35976*0.13206*0.07226*0.0326=6.57346*0.0440»(2.2766/0.3597+2.766/0.3597+0.8755/0.1320+0.4459/0.0722+0.2078/0.0326+0.2745/0.0440)/6ans=6.57342-6
4、Ci二——=(6.5734-6)/(6-1)=0.11476-1由于这个矩阵是6阶矩阵,所以取修正值RI二1.24d检验一致性:CR=—=1.1147/1.24=0.0925<0.1RI法二(MATLAB直接求解).运用MATLAB7.4求得矩阵A的最大特征值如图所示>>A二[115577;115577;1/51/51355;1/51/51/3132;1/71/71/51/311/2;1/71/71/51/221]A=115r*077115L□771/51/513551/51/51/31321/7
5、1/71/51/311/21/71/71/51/221求得其特征值为:V=3994/629000000-127/3025+2407/1630i000000-127/3025-2407/1630i000000*000000-643/3763000000-299/3150W*^XMEQZT3>■
6、jj©text*3MewtoAMA"M・Zw'•二80©(4・f»7、is”i/si/si、•・.t/exCOw《dxa(E)•e.i/t•・cnMB(dAB(ED・NVUI6-m/uicton/wi52"灵07M7/2002•X5”l)2汀Uf/WW/M•m/iers-M/101S4V440IZ462OliiMkfItMMigh4HIM/她7JColuasaZthxouch6HUe8、B二]二03grtau列HowtoAdd/]WhM-tNew£)OAd・EM-fitABAItf5001mMOC1呵11-3-2FI±f、xwiMBdHmory*xfoo*tr»tU)A«(ii•»rr.ii■■f卩.i/・i/ii、■®,r)Mua>4m(ii»srr.iitsrr.iAi/si)it.iAgg“(a4&M(O3?sfc3I:Ilnl/siA:黑"1/r557fl丨"”s”・M//MS・twz■■・awi2tr••m/i»s-MT/545•maje9、r-tJi/iw-Mvim-M/IXI)&2/4m■ni/22M&X2/OM♦ni/mo&•-m/m)wmo■wmo•t)l/IOt»B•TSW4itr/imi♦-■•NVM2I・IM/FMH•ie)VM4t■〃wwWr/M46V/N4-m/wn•X/21•3M♦OM用.£&0>buQD«10、*.TMAmiMP所
7、is”i/si/si、•・.t/exCOw《dxa(E)•e.i/t•・cnMB(dAB(ED・NVUI6-m/uicton/wi52"灵07M7/2002•X5”l)2汀Uf/WW/M•m/iers-M/101S4V440IZ462OliiMkfItMMigh4HIM/她7JColuasaZthxouch6HUe8、B二]二03grtau列HowtoAdd/]WhM-tNew£)OAd・EM-fitABAItf5001mMOC1呵11-3-2FI±f、xwiMBdHmory*xfoo*tr»tU)A«(ii•»rr.ii■■f卩.i/・i/ii、■®,r)Mua>4m(ii»srr.iitsrr.iAi/si)it.iAgg“(a4&M(O3?sfc3I:Ilnl/siA:黑"1/r557fl丨"”s”・M//MS・twz■■・awi2tr••m/i»s-MT/545•maje9、r-tJi/iw-Mvim-M/IXI)&2/4m■ni/22M&X2/OM♦ni/mo&•-m/m)wmo■wmo•t)l/IOt»B•TSW4itr/imi♦-■•NVM2I・IM/FMH•ie)VM4t■〃wwWr/M46V/N4-m/wn•X/21•3M♦OM用.£&0>buQD«10、*.TMAmiMP所
8、B二]二03grtau列HowtoAdd/]WhM-tNew£)OAd・EM-fitABAItf5001mMOC1呵11-3-2FI±f、xwiMBdHmory*xfoo*tr»tU)A«(ii•»rr.ii■■f卩.i/・i/ii、■®,r)Mua>4m(ii»srr.iitsrr.iAi/si)it.iAgg“(a4&M(O3?sfc3I:Ilnl/siA:黑"1/r557fl丨"”s”・M//MS・twz■■・awi2tr••m/i»s-MT/545•maje
9、r-tJi/iw-Mvim-M/IXI)&2/4m■ni/22M&X2/OM♦ni/mo&•-m/m)wmo■wmo•t)l/IOt»B•TSW4itr/imi♦-■•NVM2I・IM/FMH•ie)VM4t■〃wwWr/M46V/N4-m/wn•X/21•3M♦OM用.£&0>buQD«10、*.TMAmiMP所
10、*.TMAmiMP所
此文档下载收益归作者所有