Krylov Method Revisited with an Application to the Localization of Eigenvalues

Autor:	Laurence Grammont, Alain Largillier
Rok vydání:	2006
Předmět:	Algebra Set (abstract data type) Matrix (mathematics) Control and Optimization Spectrum of a matrix Computation Signal Processing Applied mathematics Analysis Eigenvalues and eigenvectors Computer Science Applications Mathematics Characteristic polynomial
Zdroj:	Numerical Functional Analysis and Optimization. 27:583-618
ISSN:	1532-2467 0163-0563
DOI:	10.1080/01630560600657166
Popis:	Our aim is to localize matrix eigenvalues in the sense that we build a sufficiently small neighborhood for each of them (or for a cluster), through not prohibitively expensive computations. Our results enter the framework started with Gerschgorin disks and deals at the present time with pseudospectra. The set of theoretical tools we have chosen to use does not avoid the notion of the characteristic polynomial. Certainly, when some computations are performed on it, the well-known ill-conditioning of its coefficients with respect to the matrix entries is properly and carefully handled.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6c4507dbc1fe56b2e7a884c9295a9da3 https://doi.org/10.1080/01630560600657166 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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