Mixed precision bisection

Utilize este identificador para referenciar este registo: https://hdl.handle.net/1822/73424

Título:	Mixed precision bisection
Autor(es):	Ralha, Rui
Palavras-chave:	eigenvalues bisection algorithm mixed precision
Data:	2018
Editora:	Birkhäuser-Verlag
Revista:	Mathematics in Computer Science
Citação:	Ralha, R. Mixed Precision Bisection. Math.Comput.Sci. 12, 173–181 (2018). https://doi.org/10.1007/s11786-018-0336-6
Resumo(s):	We discuss the implementation of the bisection algorithm for the computation of the eigenvalues of symmetric tridiagonal matrices in a context of mixed precision arithmetic. This approach is motivated by the emergence of processors which carry out floating-point operations much faster in single precision than they do in double precision. Perturbation theory results are used to decide when to switch from single to double precision. Numerical examples are presented
Tipo:	Artigo
URI:	https://hdl.handle.net/1822/73424
DOI:	10.1007/s11786-018-0336-6
ISSN:	1661-8270
Versão da editora:	https://link.springer.com/article/10.1007/s11786-018-0336-6
Arbitragem científica:	yes
Acesso:	Acesso aberto
Aparece nas coleções:	CMAT - Artigos em revistas com arbitragem / Papers in peer review journals