Accurate Computations with Generalized Green Matrices

Autor:	Jorge Delgado, Guillermo Peña, Juan Manuel Peña
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	accurate computations bidiagonal factorization total positivity Green matrix generalized Green matrix Mathematics QA1-939
Zdroj:	Symmetry, Vol 16, Iss 8, p 1004 (2024)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym16081004
Popis:	We consider generalized Green matrices that, in contrast to Green matrices, are not necessarily symmetric. In spite of the loss of symmetry, we show that they can preserve some nice properties of Green matrices. In particular, they admit a bidiagonal decomposition. Moreover, for convenient parameters, the bidiagonal decomposition can be obtained efficiently and with high relative accuracy and it can also be used to compute all eigenvalues, all singular values, the inverse, and the solution of some linear system of equations with high relative accuracy. Numerical examples illustrate the high accuracy of the performed computations using the bidiagonal decompositions. Finally, nonsingular and totally positive generalized Green matrices are characterized.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c4848243d5d44d16962fc0d267d77cb1 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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