Istituto di Scienza e Tecnologie dell'Informazione     
Codenotti B., Romani F. A note on the quadrant interlocking factorization. Internal note IEI-B85-12, 1985.
the Quadrant Interlocking Factorization (QIF) proposed by D.J. Evans and several co-workers, is show to be equivalent to 2x2 block LU factorization. A permutation of rows and columns is presented, which transforms the matrices W and Z of the Quadrant Interlocking Factorization into two matrices L and U which are 2x2 block unit lower triangular and 2x2 block upper triangular, respectively. As a consequence the question addressed on the QIF can be stated in terms of 2x2 block LU factorization.

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