Abstract

JUAREZ-RUIZ, E.; CORTES-MALDONADO, R.  and  PEREZ-RODRIGUEZ, F.. Relationship between the Inverses of a Matrix and a Submatrix. Comp. y Sist. [online]. 2016, vol.20, n.2, pp.251-262. ISSN 2007-9737.  https://doi.org/10.13053/cys-20-2-2083.

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.

Keywords : Matrix inverse; submatrix; discrete Fourier transform.

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