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  • 标题:Relationship between the Inverses of a Matrix and a Submatrix
  • 本地全文:下载
  • 作者:E. Juárez-Ruiz ; R. Cortés-Maldonado ; F. Pérez-Rodríguez
  • 期刊名称:Computación y Sistemas
  • 印刷版ISSN:1405-5546
  • 出版年度:2016
  • 卷号:20
  • 期号:2
  • 页码:251-262
  • 语种:English
  • 出版社:Instituto Politécnico Nacional
  • 其他摘要:A simple and straightforward formula for computing the inverse of a submatrix in terms of the inverse of the original matrix is derived. General formulas for the inverse of submatrices of order 𝑛 − 𝑘 as well as block submatrices are derived. The number of additions (or subtractions) and multiplications (or divisions) on the formula is calculated. A variety of numerical results are shown.
  • 其他关键词:Matrix inverse; submatrix; discrete Fourier transform.
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