Relationship between the Inverses of a Matrix and a Submatrix

نویسندگان

  • E. Juárez Ruiz
  • R. Cortes Maldonado
  • F. Pérez Rodríguez
چکیده

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.

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عنوان ژورنال:
  • Computación y Sistemas

دوره 20  شماره 

صفحات  -

تاریخ انتشار 2016