A variant of the fixed tangent method for spectral computations on integral operators

Autor:	Alain Largillier, Mario Ahues
Rok vydání:	1995
Předmět:	Pure mathematics Control and Optimization Discretization Invariant subspace Mathematical analysis Tangent Compact operator Linear subspace Fourier integral operator Computer Science Applications Linear map Signal Processing Analysis Eigenvalues and eigenvectors Mathematics
Zdroj:	Numerical Functional Analysis and Optimization. 16:1-17
ISSN:	1532-2467 0163-0563
DOI:	10.1080/01630569508816604
Popis:	We propose a variant of the standard fixed tangent iteration to compute eigenvalues and corresponding invariant subspaces of a linear integral compact operator T defined on the space of complex valued continuous functions defined in [0, 1]. Convergence holds under very weak hypotheses on some discretization Tn of T which is used for computing both the starting point of iterations and an approximation to the derivative. Numerical experiments are performed with integral operators defined either by a continuous kernel or by a weakly singular kernel.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9d0ebbcf3d9da3b23aa92d4e635f9944 https://doi.org/10.1080/01630569508816604 Zobrazit plný text záznamu