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1、一问题描述用幂法与反幂法求解矩阵特征值求 n 阶方阵 A的特征值和特征向量，是实际计算中常常碰到的问题，如：机械、结构或电磁振动中的固有值问题等。对于n 阶矩阵 A，若存在数和 n 维向量 x 满足 Ax=x （1）则称为矩阵 A的特征值，x 为相应的特征向量。由线性代数知识可知，特征值是代数方程|I-A|=n+a11n+a1n+an=0 （2）的根。从表面上看，矩阵特征值与特征向量的求解问题似乎很简单，只需求解方程（2）的根，就能得到特征值，再解齐次方程组（I-A）x=0 （3）的解，就可得到相应的特征向量。上述方法对于n很小时是可以的。但当 n稍大时，计算工作量将以惊人的速度增大，并且由于
2、计算带有误差，方程（2）未必是精确的特征方程，自然就不必说求解方程（2）与（3）的困难了。幂法与反幂法是一种计算矩阵主特征值及对应特征向量的迭代方法,特别是用于大型稀疏矩阵。这里用幂法与反幂法求解带状稀疏矩阵A501501 的特征值。二算法设计1 幂法（1）取初始向量u)0(（例如取u)0(=(1,1,1)T）,置精度要求，置 k=1.（2）计算v)(k=Au)1(k,mk=max(v)(k),u)(k=v)(k/mk（3）若|mk-m1k|，则停止计算（mk作为绝对值最大特征值1，u)(k作为相应的特征向量）否则置k=k+1，转（2）2.反幂法（1）取初始向量u)0(（例如取u)0(=(1,
3、1,1)T）,置精度要求，置 k=1.（2）对 A作 LU分解，即A=LU（3）解线性方程组 Ly)(k=u)1(k,Uv)(k=y)(k（4）计算 mk=max(v)(k),u)(k=v)(k/mk（5）若|mk-m1k|，则停止计算（1/mk作为绝对值最小特征值n，u)(k作为相应的特征向量）;否则置 k=k+1，转（3）.三程序框图1.主程序2.子程序(1).幂法迭代程序框图开始设置二维数组Q5501存放矩阵A的带内元素平移求最大特征值和最小特征值结束fanmifa(A)反幂法求按模最小特征值mifa(A)幂法求按模最大特征值计算 u1 到 u39文档编码:CO8H5T1C6H10 HA
4、9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E
5、8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ
6、3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5
7、U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档
8、编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8
9、H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6
10、H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3(2).反幂法迭代程序框图开始计算幂法初始向量fabs(b-c)/fabs(b)b=sgn(h)*ul;找到 Max(fabs(ui)迭代求ui=ui+Ai-j+2j*yj;yi=ui/fabs(h);c=b
11、;文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:
12、CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T
13、1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10
14、 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6
15、B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3
16、 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z1
17、0W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3四结果显示计算结果如下：矩阵A的按模最大特征值为:-1.070011361487e+001 矩阵A的按模最小特征值为:-5.557910794230e-003 矩阵A
18、最大的特征值为:9.724634101479e+000 矩阵A最小的特征值为:-1.070011361487e+001 与各k(1,2,.,39)k最接近的ik（用 V k表示）的值如下：v 1=-1.018293403315e+001 u 1=-1.018949492196e+001 v 2=-9.585707425068e+000 u 2=-9.678876229054e+000 v 3=-9.172672423928e+000 u 3=-9.168257536145e+000 开始计算反幂法初始向量Return(1/b)并printf(反幂法成功)返回 LU分解前保存Aij和 yi的值c
19、=b;LU分解fabs(b-c)/fabs(b)=1e-12？解线性方程组求出ui 迭代求b=b+yi*ui;文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z1
20、0W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C
21、3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:
22、CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T
23、1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10
24、 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6
25、B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3v 4=-8.652284007898e+000 u 4=
26、-8.657638843237e+000 v 5=-8.093483808675e+000 u 5=-8.147020150328e+000 v 6=-7.659405407692e+000 u 6=-7.636401457419e+000 v 7=-7.119684648691e+000 u 7=-7.125782764510e+000 v 8=-6.611764339397e+000 u 8=-6.615164071601e+000 v 9=-6.066103226595e+000 u 9=-6.104545378693e+000 v10=-5.585101052628e+000 u10=
27、-5.593926685784e+000 v11=-5.114083529812e+000 u11=-5.083307992875e+000 v12=-4.578872176865e+000 u12=-4.572689299966e+000 v13=-4.096470926260e+000 u13=-4.062070607058e+000 v14=-3.554211215751e+000 u14=-3.551451914149e+000 v15=-3.041090018133e+000 u15=-3.040833221240e+000 v16=-2.533970311130e+000 u16=
28、-2.530214528331e+000 v17=-2.003230769563e+000 u17=-2.019595835422e+000 v18=-1.503557611227e+000 u18=-1.508977142514e+000 v19=-9.935586060075e-001 u19=-9.983584496049e-001 v20=-4.870426738850e-001 u20=-4.877397566962e-001 v21=2.231736249575e-002 u21=2.287893621262e-002 v22=5.324174742069e-001 u22=5.3
29、34976291214e-001 v23=1.052898962693e+000 u23=1.044116322030e+000 v24=1.589445881881e+000 u24=1.554735014939e+000 v25=2.060330460274e+000 u25=2.065353707848e+000 v26=2.558075597073e+000 u26=2.575972400756e+000 v27=3.080240509307e+000 u27=3.086591093665e+000 v28=3.613620867692e+000 u28=3.597209786574e
30、+000 v29=4.091378510451e+000 u29=4.107828479483e+000 v30=4.603035378279e+000 u30=4.618447172392e+000 v31=5.132924283898e+000 u31=5.129065865300e+000 v32=5.594906348083e+000 u32=5.639684558209e+000 v33=6.080933857027e+000 u33=6.150303251118e+000 v34=6.680354092112e+000 u34=6.660921944027e+000 v35=7.2
31、93877448127e+000 u35=7.171540636935e+000 v36=7.717111714236e+000 u36=7.682159329844e+000 v37=8.225220014050e+000 u37=8.192778022753e+000 v38=8.648666065193e+000 u38=8.703396715662e+000 v39=9.254200344575e+000 u39=9.214015408571e+000 文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1
32、E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 Z
33、Z3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W
34、5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文
35、档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO
36、8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C
37、6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 H
38、A9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3五程序#include#include#define N 501 void main()double Q5501;double mifa(double A5501);double fanmifa(double A5501);double lm,lmax,lmin,ls,delta,u39,v39;文档
39、编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8
40、H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6
41、H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA
42、9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E
43、8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ
44、3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5
45、U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3int i,j,k;double A5501;A00=A01=A10=A3500=A4499=A4500=0.0;/输入*501矩阵for(i=2;iN;i+)A0i=-0
46、.064;for(i=1;iN;i+)A1i=0.16;for(i=0;iN;i+)A2i=(1.64-0.024*(i+1)*sin(0.2*(i+1)-0.64*exp(0.1/(i+1);for(i=0;i500;i+)A3i=0.16;for(i=0;i499;i+)A4i=-0.064;for(i=0;i5;i+)/保存 A for(j=0;j501;j+)Qij=Aij;lm=mifa(A);/按模最大特征值,函数 mifa()不会改变矩阵 A的值，不需还原for(i=0;iN;i+)/平移 A A2i=A2i-lm;lmax=mifa(A);/平移后 A的按模最大特征值lmax=
47、lmax+lm;/最大特征值或最小特征值if(lmaxlm)lmin=lmax;lmax=lm;else lmin=lm;for(i=0;iN;i+)/还原 A for(j=0;j5;j+)Aji=Qji;ls=fanmifa(A);/按模最小特征值for(i=0;iN;i+)/还原 A for(j=0;j5;j+)Aji=Qji;文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO
48、8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C
49、6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 H
50、A9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1E8E3 ZZ3Z10W5U4C3文档编码:CO8H5T1C6H10 HA9S6B1