循环矩阵的性质及其应用-毕业论

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1、循环矩阵的性质及其应用摘要循环矩阵是一类比较有研究价值的特殊矩阵，吸引了众多研究者的关注。本论文从循环矩阵的定义出发，利用已有的知识讨论并证明循环矩阵的若干性质，给出了循环矩阵的逆矩阵及行列式的算法，并主要介绍了循环矩阵在密码学、建筑、数据统计、光通信这四大方面所发挥的重要作用。关键词：循环矩阵；性质；逆矩阵；行列式；应用SomepropertiesofcirculantmatricesandapplicationinvariousfieldsAbstractCirculantmatricesisofgreatresearchvalueinspecializedmatrices,which

2、attractsmoreandmorepeoplepayingattentiontotheresearchofcirculantmatrices.Thispaperisbasedonthedefinitionofcirculantmatrices,discussingandprovingsomeproperties.Thenwegivethealgorithmoftheinversematrixandthedeterminantofcirculantmatrices.Thenthispapersumuptheapplicationinvariousfields.Atlastthepaper

3、mainlyclaimstheapplicationincrytology,architecture,datastatisticsandopticalcommunicationtechnique.KeyWords:CirculantMatrices;Properties;InverseMatrix;Determinant;Application目录摘要.........................................................................................................................

4、............................1目录.....................................................................................................................................................31.绪论.................................................................................................................

5、.................................41.1研究背景与研究现状.........................................................................................................41.2研究意义.............................................................................................................................42．定义及性质......

6、.............................................................................................................................52.1定义......................................................................................................................................52.2性质...........................

7、...........................................................................................................53.求逆与行列式................................................................................................