Combined matrices and conditioning

Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)

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BruGassoSantana-De - Combined matrices and conditioning.pdf (295.92 KB)

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2022-01-01

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https://riunet.upv.es/handle/10251/182187

Cita bibliográfica

Bru García, R.; Gasso Matoses, MT.; Santana-De Asis, MDJ. (2022). Combined matrices and conditioning. Applied Mathematics and Computation. 412:1-8. https://doi.org/10.1016/j.amc.2021.126549

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Resumen

[EN] 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.

Palabras clave

Combined matrix, Reduced combined matrix, Condition number

Fuente

Applied Mathematics and Computation issn: 0096-3003

DOI

10.1016/j.amc.2021.126549

Versión del editor

https://doi.org/10.1016/j.amc.2021.126549

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