On the properties of matrices defining some classes of BVMs

Lidia Aceto; Donato Trigiante

doi:10.1007/s00211-003-0464-y

On the properties of matrices defining some classes of BVMs

Lidia Aceto, Donato Trigiante

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

It is known that the matrices defining the discrete problem generated by a k-step Boundary Value Method (BVM) have a quasi-Toeplitz band structure [7]. In particular, when the boundary conditions are skipped, they become Toeplitz matrices. In this paper, by introducing a characterization of positive definiteness for such matrices, we shall prove that the Toeplitz matrices which arise when using the methods in the classes of BVMs known as Generalized BDF and Top Order Methods have such property.

Lingua originale	Inglese
pagine (da-a)	1-16
Numero di pagine	16
Rivista	Numerische Mathematik
Volume	96
Numero di pubblicazione	1
DOI	https://doi.org/10.1007/s00211-003-0464-y
Stato di pubblicazione	Pubblicato - nov 2003
Pubblicato esternamente	Sì

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10.1007/s00211-003-0464-y

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On the properties of matrices defining some classes of BVMs

Abstract

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