Conditioning and accurate computations with Pascal matrices

• Autores: Pedro Alonso Velázquez , Jorge Delgado Gracia , Rafael Gallego Amez , Juan Manuel Peña Fernández
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 252, Nº 1, 2013, págs. 21-26
• Idioma: inglés
• DOI: 10.1016/j.cam.2011.12.007
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• Resumen

  • A result on the ill-conditioning of Pascal matrices is proved. However, it is shown that bidiagonal factorizations of Pascal matrices can be applied to perform computations with high relative accuracy.