INFINITEMATRICES

"Spectra, Fredholm Properties and Stable Approximation of Infinite Matrices"

Coordinatore	TECHNISCHE UNIVERSITAET CHEMNITZ    more  Organization address address: STRASSE DER NATIONEN 62 city: CHEMNITZ postcode: 9111 contact info Titolo: Ms. Nome: Birgit Cognome: Weißhuhn Email: send email Telefono: 0049 371 531 37200 Fax: 0049 371 531 12319
Nazionalità Coordinatore	Germany [DE]
Totale costo	45˙000 €
EC contributo	45˙000 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-2007-2-2-ERG
Funding Scheme	MC-ERG
Anno di inizio	2008
Periodo (anno-mese-giorno)	2008-03-01   -   2011-02-28

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	TECHNISCHE UNIVERSITAET CHEMNITZ  Organization address address: STRASSE DER NATIONEN 62 city: CHEMNITZ postcode: 9111 contact info Titolo: Ms. Nome: Birgit Cognome: Weißhuhn Email: send email Telefono: 0049 371 531 37200 Fax: 0049 371 531 12319	DE (CHEMNITZ)	coordinator	0.00

Mappa

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 Obiettivo del progetto (Objective)

'The aim of this project is the study of certain properties of concrete classes of infinite matrices understood as linear operators on vector-valued sequence spaces. The properties under consideration include Fredholmness, invertibility and stable approximation of the infinite matrix at hand. The classes of matrices studied range from the most general setting of the set of all matrices with operator entries, bounded diagonals and a certain off-diagonal decay to more specific classes with entries of a simpler type (e.g. complex numbers) and particular diagonal structure (e.g. almost periodic, random, slowly oscillating, etc.) and off-diagonal decay behaviour (e.g. absolutely summable decay, banded matrices, Jacobi matrices, etc.). Operators of those types and the question about the mentioned properties are ubiquitous in mathematics and physics. Prominent examples are Schrödinger operators arising in quantum physics or integral operators from wave scattering problems. The objectives of the proposal are to develop a theory of invertibility and Fredholm properties for various practically relevant classes of such matrices and to find efficient numerical methods for the approximate solution of the related equations.'

Introduzione (Teaser)

Matrices and specifically defined operators that act on them are critical to defining and understanding problems in numerous fields in the natural and engineering sciences. An EU-funded initiative developed innovative mathematical techniques to help solve the infinite matrix problem.