Lipschitz continuity for isotropic matrix functions

Marcus Carlsson

doi:10.1016/j.laa.2021.04.006

Lipschitz continuity for isotropic matrix functions

Marcus Carlsson

Mathematics (Faculty of Sciences)

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

Abstract

We prove a sharp Lipschitz bound for isotropic matrix functions in terms of the Lipschitz constant for the underlying vector field.

Original language	English
Pages (from-to)	259-266
Number of pages	8
Journal	Linear Algebra and Its Applications
Volume	624
DOIs	https://doi.org/10.1016/j.laa.2021.04.006
Publication status	Published - 2021 Sept 1

Subject classification (UKÄ)

Mathematical Analysis

Free keywords

Functional calculus
Isotropic matrix function
Lipschitz continuity
Spectral matrix functions

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10.1016/j.laa.2021.04.006

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@article{19c9e7e7a9f244398978474e39118769,

title = "Lipschitz continuity for isotropic matrix functions",

abstract = "We prove a sharp Lipschitz bound for isotropic matrix functions in terms of the Lipschitz constant for the underlying vector field.",

keywords = "Functional calculus, Isotropic matrix function, Lipschitz continuity, Spectral matrix functions",

author = "Marcus Carlsson",

year = "2021",

month = sep,

day = "1",

doi = "10.1016/j.laa.2021.04.006",

language = "English",

volume = "624",

pages = "259--266",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier",

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TY - JOUR

T1 - Lipschitz continuity for isotropic matrix functions

AU - Carlsson, Marcus

PY - 2021/9/1

Y1 - 2021/9/1

N2 - We prove a sharp Lipschitz bound for isotropic matrix functions in terms of the Lipschitz constant for the underlying vector field.

AB - We prove a sharp Lipschitz bound for isotropic matrix functions in terms of the Lipschitz constant for the underlying vector field.

KW - Functional calculus

KW - Isotropic matrix function

KW - Lipschitz continuity

KW - Spectral matrix functions

U2 - 10.1016/j.laa.2021.04.006

DO - 10.1016/j.laa.2021.04.006

M3 - Article

AN - SCOPUS:85104579370

SN - 0024-3795

VL - 624

SP - 259

EP - 266

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Lipschitz continuity for isotropic matrix functions

Abstract

Subject classification (UKÄ)

Free keywords

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