The conditioning of FD matrix sequences coming from semi-elliptic differential equations
| dc.contributor.author | Noutsos, D. | en |
| dc.contributor.author | Capizzano, S. S. | en |
| dc.contributor.author | Vassalos, P. | en |
| dc.date.accessioned | 2015-11-24T17:21:26Z | |
| dc.date.available | 2015-11-24T17:21:26Z | |
| dc.identifier.issn | 0024-3795 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/12465 | |
| dc.rights | Default Licence | - |
| dc.subject | finite differences | en |
| dc.subject | toeplitz matrices | en |
| dc.subject | boundary value problenis | en |
| dc.subject | spectral distribution | en |
| dc.subject | block toeplitz matrices | en |
| dc.title | The conditioning of FD matrix sequences coming from semi-elliptic differential equations | en |
| heal.abstract | In this paper we are concerned with the study of spectral properties of the sequence of matrices {A(n)(a)} coming from the discretization, using centered finite differences of minimal order, of elliptic (or semielliptic) differential operators L(a, u) of the form {-d/dx (a(x)d/dx u(x)) = f(x) on Omega = (0, 1), Dirichlet B.C. on theta Omega, (1) where the nonnegative, bounded coefficient function a(x) of the differential operator may have some isolated zeros in U (Omega) over bar = Omega boolean OR theta Omega. More precisely, we state and prove the explicit form of the inverse of {A(n)(a)} and some formulas concerning the relations between the orders of zeros of a(x) and the asymptotic behavior of the minimal eigenvalue (condition number) of the related matrices. As a conclusion, and in connection with our theoretical findings, first we extend the analysis to higher order (semi-elliptic) differential operators, | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | DOI 10.1016/j.laa.2007.08.008 | - |
| heal.identifier.secondary | <Go to ISI>://000252172800015 | - |
| heal.journalName | Linear Algebra and Its Applications | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2008 | - |
| heal.publisher | Elsevier | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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