Norm estimates for functions of matrices with simple spectrum

Michael I. Gil'

doi:10.1007/s12215-010-0016-0

Norm estimates for functions of matrices with simple spectrum

Michael I. Gil'

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Sharp estimates are established for the norm of a matrix-valued function of a matrix having geometrically simple eigenvalues. Applications of the obtained estimates to the periodic problem and two-point boundary value problem for vector differential equations are also discussed.

Original language	English
Pages (from-to)	215-226
Number of pages	12
Journal	Rendiconti del Circolo Matematico di Palermo
Volume	59
Issue number	2
DOIs	https://doi.org/10.1007/s12215-010-0016-0
State	Published - 1 Aug 2010

Keywords

Boundary value problem
Differential equations
Matrix-valued functions
Periodic problem
Simple spectrum

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s12215-010-0016-0

Cite this

@article{3b3bc51a8ccb49c2811ed3f45673893b,

title = "Norm estimates for functions of matrices with simple spectrum",

abstract = "Sharp estimates are established for the norm of a matrix-valued function of a matrix having geometrically simple eigenvalues. Applications of the obtained estimates to the periodic problem and two-point boundary value problem for vector differential equations are also discussed.",

keywords = "Boundary value problem, Differential equations, Matrix-valued functions, Periodic problem, Simple spectrum",

author = "Gil', {Michael I.}",

year = "2010",

month = aug,

day = "1",

doi = "10.1007/s12215-010-0016-0",

language = "English",

volume = "59",

pages = "215--226",

journal = "Rendiconti del Circolo Matematico di Palermo",

issn = "0009-725X",

publisher = "Springer-Verlag Italia",

number = "2",

}

TY - JOUR

T1 - Norm estimates for functions of matrices with simple spectrum

AU - Gil', Michael I.

PY - 2010/8/1

Y1 - 2010/8/1

N2 - Sharp estimates are established for the norm of a matrix-valued function of a matrix having geometrically simple eigenvalues. Applications of the obtained estimates to the periodic problem and two-point boundary value problem for vector differential equations are also discussed.

AB - Sharp estimates are established for the norm of a matrix-valued function of a matrix having geometrically simple eigenvalues. Applications of the obtained estimates to the periodic problem and two-point boundary value problem for vector differential equations are also discussed.

KW - Boundary value problem

KW - Differential equations

KW - Matrix-valued functions

KW - Periodic problem

KW - Simple spectrum

UR - http://www.scopus.com/inward/record.url?scp=84859809530&partnerID=8YFLogxK

U2 - 10.1007/s12215-010-0016-0

DO - 10.1007/s12215-010-0016-0

M3 - Article

AN - SCOPUS:84859809530

SN - 0009-725X

VL - 59

SP - 215

EP - 226

JO - Rendiconti del Circolo Matematico di Palermo

JF - Rendiconti del Circolo Matematico di Palermo

IS - 2

ER -

Norm estimates for functions of matrices with simple spectrum

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this