Combined matrices and conditioning

Rafael Bru, María T. Gassó, Máximo Santana · Applied Mathematics and Computation · 2021

In this work, we study a lower bound of the condition number of a matrix by its combined matrix. In particular, we construct a special combined matrix in such a way that the sums of its columns are lower bounds of the condition number of the matrix. Cases for special matrices as unitary matrices are considered.

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