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一类新的正规矩阵及其相关的分解问题
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作者 田咏梅 《商丘师范学院学报》 CAS 2023年第12期1-3,共3页
基于正规矩阵、矩阵奇异值分解的理论和方法,对满足条件A^(*)=kA^(2)(0≠k=a+bi∈C)的矩阵A进行了研究.发现此类矩阵是一类正规矩阵;得到了矩阵A,以及两个适于上述条件的矩阵A与B的张量积的奇异值分解式;给出了n维复空间C^(n)关于矩阵A... 基于正规矩阵、矩阵奇异值分解的理论和方法,对满足条件A^(*)=kA^(2)(0≠k=a+bi∈C)的矩阵A进行了研究.发现此类矩阵是一类正规矩阵;得到了矩阵A,以及两个适于上述条件的矩阵A与B的张量积的奇异值分解式;给出了n维复空间C^(n)关于矩阵A的核与-A的值域的分解,给出了相关矩阵函数序列收敛的一个例子. 展开更多
关键词 正规矩阵 张量积 奇异值分解 矩阵函数序列
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CONSTRUCTIONOFACLASSOFPNSEQUENCESWITHPRIMENUMBERPERIODSOF4t+1FORM
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作者 Yang Fengfan Bi Guangguo Department of Radio Engineering,Southeast UniversityNanjing 210096,P.R.China 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1996年第1期118-120,共3页
A class of new PN sequence with prime number periods of 4t +1 form (t is an integer)is constructed.The advantage of these PN sequencs over the m(M) sequence is their large number of alternative periods.They hav... A class of new PN sequence with prime number periods of 4t +1 form (t is an integer)is constructed.The advantage of these PN sequencs over the m(M) sequence is their large number of alternative periods.They have good pseudo random characteristics demonstrated by the expression of periodic autocorrelation function found out in this paper. 展开更多
关键词 CODING autocorrelation function MATRIX PN sequences quadratic element finite field
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A New(γ_A,σ_B)-Matrix KP Hierarchy and Its Solutions
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作者 黄晔辉 姚玉芹 曾云波 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第4期515-522,共8页
A new(γA,σB)-matrix KP hierarchy with two time series γA and σB,which consists of γA-flow,σB-flow and mixed γA and σB-evolution equations of eigenfunctions,is proposed.The reduction and constrained flows of(... A new(γA,σB)-matrix KP hierarchy with two time series γA and σB,which consists of γA-flow,σB-flow and mixed γA and σB-evolution equations of eigenfunctions,is proposed.The reduction and constrained flows of(γA,σB)matrix KP hierarchy are studied.The dressing method is generalized to the(γA,σB)-matrix KP hierarchy and some solutions are presented. 展开更多
关键词 (γA σB)-matrix KP hierarchy Lax representation generalized dressing method SOLITON
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