Saturday, January 15, 2011

a submatrix problem

This problem is said to be proposed by Knuth: given an m*n (m<n) maxtix A of rank m find its m*m submatrix B such that all elements of of B^{-1}A have absolute value at most one.

Source: Local Search in Combinatorial Optimization E. Aarts, K. Lenstra, chapter 2

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