北航研究生数值分析作业第二题(3)

来源：网络收集时间：2019-04-05 下载这篇文档手机版

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{

printf(\ for(i = 0; i < N; i++) {

printf(\

for(j = 0; j < N-1; j++) printf(\ printf(\ printf(\ }

printf(\ } }

void eigenvalout(int opmode) //输出矩阵的特征值；opmode=1: 到文件，0: 到屏幕； {

int i,j; FILE *p; if(opmode) {

p= fopen(\

for(i = 0; i < N; i++) fprintf(p, \特征值%d=(%.12le, %.12le)\\n\i + 1, sa_re[i], sa_im[i]); //输出A的特征值； fclose(p);

printf(\矩阵特征值计算完毕。\\n\ }

else {

for(i = 0; i < N; i++)

printf(\特征值%d=(%.12le, %.12le)\\n\i + 1, sa_re[i], sa_im[i]); } }

void eigenvecout(int opmode) //输出矩阵的特征值；opmode=1: 到文件，0: 到屏幕； {

int i,j; FILE *p; if(opmode) {

p= fopen(\ for(i = 0; i < N; i++)

{

if(!sa_im[i]) {

fprintf(p, \

fprintf(p, \特征向量%d:\

for(j = 0; j < N; j++) fprintf(p, \\eigen[i][j]); } }

fclose(p);

printf(\矩阵特征向量计算完毕。\\n\ } else {

for(i = 0; i < N; i++) {

if(!sa_im[i]) {

printf(\

printf(\特征向量%d:\ for(j = 0; j < N; j++) printf(\\eigen[i][j]); } } } }

三、程序运行结果

计算结果： Matrix(A)= {

{-8.827516758830e-001,-9.933136491826e-002,-1.103349285994e+000,-7.600443585637e-001,1.549101079914e-001,-1.946591862872e+000,-8.782436382927e-002,-9.255889387184e-001,6.032599440534e-001,1.518860956469e-001},

{-2.347878362416e+000,2.372370104937e+000,1.819290822208e+000,3.237804101546e-001,2.205798440320e-001,2.102692662546e+000,1.816138086098e-001,1.278839089990e+000,-6.380578124405e-001,-4.154075603804e-001},

{0.000000000000e+000,1.728274599968e+000,-1.171467642785e+000,-1.243839262699e+000,-6.399758341743e-001,-2.002833079037e+000,2.924947206124e-001,-6.412830068395e-001,9.783997621285e-002,2.557763574160e-001},

{0.000000000000e+000,0.000000000000e+000,-1.291669534130e+000,-1.111603513396e+000,1.171346824096e+000,-1.307356030021e+000,1.803699177750e-001,-4.246385358369e-001,7.988955239304e-002,1.608819928069e-001},

{0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,1.560126298527e+000,8.125049397515e-001,4.421756832923e-001,-3.588616128137e-002,4.691742313671e-001,-2.736595050092e-001,-7.359334657750e-002},

{0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,-7.707773755194e-001,-1.583051425742e+000,-3.042843176799e-001,2.528712446035e-001,-6.709925401449e-001,2.544619929082e-001},

{0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,-7.463453456938e-001,-2.708365157019e-002,-9.486521893682e-001,1.195871081495e-001,1.929265617952e-002},

{0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,-7.701801374364e-001,-4.697623990618e-001,4.988259468008e-001,1.137691603776e-001},

{0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,7.013167092107e-001,1.582180688475e-001,3.862594614233e-001},

{0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,4.843807602783e-001,3.992777995177e-001}, }

Matrix(A)= {

{3.383039617436e+000,8.948776735202e-001,-8.956760626575e-001,8.465153677934e-002,2.612677876847e-001,1.610398501091e+000,-1.022613073552e+000,9.371886210517e-002,-1.002578700827e+000,-4.086260812135e-001},

{0.000000000000e+000,-2.118477444213e+000,-2.361527904476e+000,-3.455612566063e-002,-4.736641031449e-002,1.816397532103e+000,-2.318977562028e-001,-1.435516012783e-001,-6.537076947730e-001,3.227152128950e-002},

{0.000000000000e+000,3.555130807938e-001,-2.528514976210e+000,-6.375262961974e-001,2.023867361503e-002,1.838634248158e+000,1.868763022455e-001,-2.932577853277e-001,1.987065844256e+000,1.004631189744e+000},

{0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,1.577548557113e+000,-1.396212144889e-002,-6.971943990408e-001,1.555685237633e-001,8.405054265524e-003,-8.154391705514e-002,-1.086119035359e-001},

{0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,-1.484039822259e+000,-1.005291633153e-001,4.249889459973e-002,2.623603124719e-002,1.040075636749e-001,-1.180720843108e-001},

{0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,-6.948721401107e-001,-5.289206673609e-001,2.679156722087e-001,-5.962368505233e-001,-4.911592278103e-001},

{0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,1.788270336426e-001,-1.266189772470e+000,4.715000043047e-002,2.904780036855e-001,-3.570390801052e-002},

{0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,9.355889078188e-001,1.877411051033e-001,1.360256519262e-001},

{0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.

000000000000e+000,0.000000000000e+000,0.000000000000e+000,0.000000000000e+000,6.360511809728e-001,2.737034413363e-001},

特征值1=(3.383039617436e+000, 0.000000000000e+000) 特征值2=(-2.323496210212e+000, 8.930405177200e-001) 特征值3=(-2.323496210212e+000, -8.930405177200e-001) 特征值4=(1.577548557113e+000, 0.000000000000e+000) 特征值5=(-1.484039822259e+000, 0.000000000000e+000) 特征值6=(-9.805309562902e-001, 1.139489127430e-001) 特征值7=(-9.805309562902e-001, -1.139489127430e-001) 特征值8=(9.355889078188e-001, 0.000000000000e+000) 特征值9=(6.360627875746e-001, 0.000000000000e+000) 特征值10=(5.650488993501e-002, 0.000000000000e+000)

特征向量0:1.052215734361e-001, 2.183641973272e-001, 4.730178777759e-001, 2.608874788703e-001, 3.058056251403e-001, 2.583797832214e-001, -8.733793639505e-002, -4.054540338526e-001, -5.090131137201e-001, -2.409250445621e-001,

特征向量3:-6.249625599173e-002, 1.120900451496e-002, 2.496667051788e-001, 1.313644861499e-001, 3.835412561202e-001, -8.159443103526e-001, 1.245603520675e-001, 6.835610547208e-002, -2.705874017772e-001, -1.005191081460e-001,

特征向量4:5.601181168003e-001, -7.793415087695e-001, -1.337801148572e-002, 2.774092878907e-001, -3.005575883016e-003, 2.534834089600e-003, 2.062848490883e-002, 1.101348291072e-002, 1.224861665252e-002, -3.236209304091e-002,

特征向量7:-8.056515482685e-002, -4.611134688032e-002, 1.502437919765e-002, 4.812083461840e-002, 3.536338920689e-001, -2.089190778112e-001, 1.557459663954e-001, -8.196704272714e-001, 3.509825128187e-001, -2.885138527827e-002,

特征向量8:1.070374683972e-001, 7.123455832557e-002, 3.902379171385e-001, -4.466555137565e-002, -7.190347442747e-001, 1.758156884395e-001, -2.265379615437e-001, 3.768861505022e-001, 2.956254085048e-001, 2.255779725593e-002,

特征向量9:2.090175185815e-001, 2.000637966849e-001, -3.891760618170e-001, 2.779391187071e-002, 3.932365479065e-001, 1.247038109520e-001, -6.448109395581e-001, 3.027798531081e-001, 2.910952633140e-001, -4.094365558118e-002,

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