Eigenvalue inclusion regions from inverses of shifted matrices

M.E. Hochstenbach; D.A. Singer; P.F. Zachlin

doi:10.1016/j.laa.2008.08.016

Eigenvalue inclusion regions from inverses of shifted matrices

M.E. Hochstenbach
, D.A. Singer
, P.F. Zachlin

Scientific Computing

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

4 Citaten (Scopus)

Samenvatting

We consider eigenvalue inclusion regions based on the field of values, pseudospectra, Gershgorin region, and Brauer region of the inverse of a shifted matrix. A family of these inclusion regions is derived by varying the shift. We study several properties, one of which is that the intersection of a family is exactly the spectrum. The numerical approximation of the inclusion sets for large matrices is also examined.

Originele taal-2	Engels
Pagina's (van-tot)	2481-2496
Tijdschrift	Linear Algebra and Its Applications
Volume	429
Nummer van het tijdschrift	10
DOI's	https://doi.org/10.1016/j.laa.2008.08.016
Status	Gepubliceerd - 2008

Toegang tot document

10.1016/j.laa.2008.08.016

Citeer dit

@article{b1d624c9e97449afb4aace22f0d17f3e,

title = "Eigenvalue inclusion regions from inverses of shifted matrices",

abstract = "We consider eigenvalue inclusion regions based on the field of values, pseudospectra, Gershgorin region, and Brauer region of the inverse of a shifted matrix. A family of these inclusion regions is derived by varying the shift. We study several properties, one of which is that the intersection of a family is exactly the spectrum. The numerical approximation of the inclusion sets for large matrices is also examined.",

author = "M.E. Hochstenbach and D.A. Singer and P.F. Zachlin",

year = "2008",

doi = "10.1016/j.laa.2008.08.016",

language = "English",

volume = "429",

pages = "2481--2496",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier",

number = "10",

}

TY - JOUR

T1 - Eigenvalue inclusion regions from inverses of shifted matrices

AU - Hochstenbach, M.E.

AU - Singer, D.A.

AU - Zachlin, P.F.

PY - 2008

Y1 - 2008

N2 - We consider eigenvalue inclusion regions based on the field of values, pseudospectra, Gershgorin region, and Brauer region of the inverse of a shifted matrix. A family of these inclusion regions is derived by varying the shift. We study several properties, one of which is that the intersection of a family is exactly the spectrum. The numerical approximation of the inclusion sets for large matrices is also examined.

AB - We consider eigenvalue inclusion regions based on the field of values, pseudospectra, Gershgorin region, and Brauer region of the inverse of a shifted matrix. A family of these inclusion regions is derived by varying the shift. We study several properties, one of which is that the intersection of a family is exactly the spectrum. The numerical approximation of the inclusion sets for large matrices is also examined.

U2 - 10.1016/j.laa.2008.08.016

DO - 10.1016/j.laa.2008.08.016

M3 - Article

SN - 0024-3795

VL - 429

SP - 2481

EP - 2496

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 10

ER -

Eigenvalue inclusion regions from inverses of shifted matrices

Samenvatting

Toegang tot document

Vingerafdruk

Citeer dit