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Combined matrices and conditioning
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DOI：10.1016/j.amc.2021.126549.png)
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Abstract
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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. (C) 2021 The Authors. Published by Elsevier Inc.
Keywords:
Combined matrix
Reduced combined matrix
Condition number
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