Relative perturbation results for eigenvalues and eigenvectors of diagonalisable matrices

Autor:	Ilse C. F. Ipsen, Stanley C. Eisenstat
Rok vydání:	1998
Předmět:	Computational Mathematics Computer Networks and Communications Applied Mathematics Mathematical analysis Perturbation (astronomy) Lambda Software Eigenvalues and eigenvectors Eigenvalue perturbation Mathematical physics Mathematics
Zdroj:	BIT Numerical Mathematics. 38:502-509
ISSN:	1572-9125 0006-3835
Popis:	Let\(\hat \lambda \) and\(\hat x\) be a perturbed eigenpair of a diagonalisable matrixA. The problem is to bound the error in\(\hat \lambda \) and\(\hat \lambda \). We present one absolute perturbation bound and two relative perturbation bounds.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5fa3a606241c88c28b90249a579f60d3 https://doi.org/10.1007/bf02510256 Zobrazit plný text záznamu Full text from SpringerLink