Complexity issues in computing spectra, pseudospectra and resolvents

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

Standard

Complexity issues in computing spectra, pseudospectra and resolvents. / Hansen, Anders C; Nevanlinna, Olavi.

julkaisussa: BANACH CENTER PUBLICATIONS, Vuosikerta 112, 2017.

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

Harvard

APA

Vancouver

Author

Bibtex - Lataa

@article{e2c3e4e763494f8f896ad67ed5a03362,
title = "Complexity issues in computing spectra, pseudospectra and resolvents",
abstract = "We display methods that allow for computations of spectra, pseudospectra and resolvents of linear operators on Hilbert spaces and also elements in unital Banach algebras. The paper considers two different approaches, namely, pseudospectral techniques and polynomial numerical hull theory. The former is used for Hilbert space operators whereas the latter can handle the general case of elements in a Banach algebra. This approach leads to multicentric holomorphic calculus. We also discuss some new types of pseudospectra and the recently defined Solvability Complexity Index.",
author = "Hansen, {Anders C} and Olavi Nevanlinna",
year = "2017",
doi = "10.4064/bc112-0-10",
language = "English",
volume = "112",
journal = "BANACH CENTER PUBLICATIONS",
issn = "0137-6934",

}

RIS - Lataa

TY - JOUR

T1 - Complexity issues in computing spectra, pseudospectra and resolvents

AU - Hansen, Anders C

AU - Nevanlinna, Olavi

PY - 2017

Y1 - 2017

N2 - We display methods that allow for computations of spectra, pseudospectra and resolvents of linear operators on Hilbert spaces and also elements in unital Banach algebras. The paper considers two different approaches, namely, pseudospectral techniques and polynomial numerical hull theory. The former is used for Hilbert space operators whereas the latter can handle the general case of elements in a Banach algebra. This approach leads to multicentric holomorphic calculus. We also discuss some new types of pseudospectra and the recently defined Solvability Complexity Index.

AB - We display methods that allow for computations of spectra, pseudospectra and resolvents of linear operators on Hilbert spaces and also elements in unital Banach algebras. The paper considers two different approaches, namely, pseudospectral techniques and polynomial numerical hull theory. The former is used for Hilbert space operators whereas the latter can handle the general case of elements in a Banach algebra. This approach leads to multicentric holomorphic calculus. We also discuss some new types of pseudospectra and the recently defined Solvability Complexity Index.

U2 - 10.4064/bc112-0-10

DO - 10.4064/bc112-0-10

M3 - Article

VL - 112

JO - BANACH CENTER PUBLICATIONS

T2 - BANACH CENTER PUBLICATIONS

JF - BANACH CENTER PUBLICATIONS

SN - 0137-6934

ER -

ID: 16590663