袁晖坪, 米玲. 广义行(列)酉对称矩阵的满秩分解及其Moore-Penrose逆[J]. 云南大学学报(自然科学版), 2009, 31(5): 439-443 .
引用本文: 袁晖坪, 米玲. 广义行(列)酉对称矩阵的满秩分解及其Moore-Penrose逆[J]. 云南大学学报(自然科学版), 2009, 31(5): 439-443 .
shu
YUAN Hui-ping, MI Ling. The full rank factorization and Moore-Penrose inverse for generalized row(column) unitary symmetric matrix[J]. Journal of Yunnan University: Natural Sciences Edition, 2009, 31(5): 439-443 .
Citation: YUAN Hui-ping, MI Ling. The full rank factorization and Moore-Penrose inverse for generalized row(column) unitary symmetric matrix[J]. Journal of Yunnan University: Natural Sciences Edition, 2009, 31(5): 439-443 .
shu

广义行(列)酉对称矩阵的满秩分解及其Moore-Penrose逆

The full rank factorization and Moore-Penrose inverse for generalized row(column) unitary symmetric matrix

    摘要
  • 摘要: 提出了广义行(列)酉对称矩阵的概念,研究了它们的性质,得到了一些新的结果,给出了广义行(列)酉对称矩阵的满秩分解、秩分解和广义逆的公式,减少了它们的计算量与存储量,又不会降低数值精度.同时推广了有关文献的相应结果,拓宽了实际应用领域的范围.

     

    Abstract: The concept of generalized row(column) unitary transposed matrix is introduced and analyzed,which leads to some new results.In addition,the formula of the full rank factorization and rank factorization and generalized inverse of generalized row(column) unitary symmetric matrix are given,which makes calculation easier and accurate.Results of papers are generalized.

     

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