The inverse of any two-by-two nonsingular partitioned matrix and three matrix inverse completion problems

نویسندگان

  • Yongge Tian
  • Yoshio Takane
چکیده

A formula for the inverse of any nonsingular matrix partitioned into two-by-two blocks is derived through a decomposition of the matrix itself and generalized inverses of the submatrices in the matrix. The formula is then applied to three matrix inverse completion problems to obtain their complete solutions.

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عنوان ژورنال:
  • Computers & Mathematics with Applications

دوره 57  شماره 

صفحات  -

تاریخ انتشار 2009