Combined matrices and conditioning

Rafael Bru, Maria T. Gassó and Máximo Santana

Applied Mathematics and Computation, 2022, vol. 412, issue C

Abstract: 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.

Keywords: Combined matrix; Reduced combined matrix; Condition number (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:412:y:2022:i:c:s0096300321006330

DOI: 10.1016/j.amc.2021.126549

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