JOURNAL OF LIGHT INDUSTRY

CN 41-1437/TS  ISSN 2096-1553

Volume 36 Issue 3
June 2021
Article Contents
QU Shuanghong, LIU Huijuan and MENG Lingxian. Study on a class of diagonalizable matrix and their properties[J]. Journal of Light Industry, 2021, 36(3): 99-103. doi: 10.12187/2021.03.012
Citation: QU Shuanghong, LIU Huijuan and MENG Lingxian. Study on a class of diagonalizable matrix and their properties[J]. Journal of Light Industry, 2021, 36(3): 99-103. doi: 10.12187/2021.03.012 shu

Study on a class of diagonalizable matrix and their properties

  • Received Date: 2020-12-20
  • Based on the concept of normal matrix,conjugate transpose matrix,characteristic value of matrix and so on,using theory and method of singular value decomposition,some properties of a class of matrix A which meet A*=kA3(0≠kR) were explored.It was found that matrix A could be diagonalized,especially the singular value decomposition form of matrix A was obtained,and the result of the series convergence of correlation matrix was researched under certain conditions,and the convergence property of function sequence of correlation matrix was discussed,so the basic theoretical reserve of diagonalizable matrix was expanded.
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