Sets of matrices with given joint numerical range

Naum Krupnik; Ilya M. Spitkovsky

doi:10.1016/j.laa.2006.05.019

Sets of matrices with given joint numerical range

Naum Krupnik
, Ilya M. Spitkovsky

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

5 Scopus citations

Abstract

The following question is addressed: To what extent the n-tuple of m × m Hermitian matrices is determined by its joint numerical range? The cases m = 2, n arbitrary and m = n = 3 are considered in detail.

Original language	English
Pages (from-to)	569-585
Number of pages	17
Journal	Linear Algebra and Its Applications
Volume	419
Issue number	2-3
DOIs	https://doi.org/10.1016/j.laa.2006.05.019
State	Published - 1 Dec 2006
Externally published	Yes

Bibliographical note

Funding Information:
URL: www.math.wm.edu/∼ilya (I.M. Spitkovsky). 1 Supported in part by NSF Grant DMS-0456625.

Funding Information:
Computational support provided by National Science Foundation Grant No. 0215444.

Funding

URL: www.math.wm.edu/∼ilya (I.M. Spitkovsky). 1 Supported in part by NSF Grant DMS-0456625. Computational support provided by National Science Foundation Grant No. 0215444.

Funders	Funder number
National Science Foundation	DMS-0456625
Directorate for Mathematical and Physical Sciences	0215444, 0456625

Keywords

Joint numerical range
Unitary similarity

Access to Document

10.1016/j.laa.2006.05.019

Cite this

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title = "Sets of matrices with given joint numerical range",

abstract = "The following question is addressed: To what extent the n-tuple of m × m Hermitian matrices is determined by its joint numerical range? The cases m = 2, n arbitrary and m = n = 3 are considered in detail.",

keywords = "Joint numerical range, Unitary similarity",

author = "Naum Krupnik and Spitkovsky, \{Ilya M.\}",

note = "Funding Information: URL: www.math.wm.edu/∼ilya (I.M. Spitkovsky). 1 Supported in part by NSF Grant DMS-0456625. Funding Information: Computational support provided by National Science Foundation Grant No. 0215444.",

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AB - The following question is addressed: To what extent the n-tuple of m × m Hermitian matrices is determined by its joint numerical range? The cases m = 2, n arbitrary and m = n = 3 are considered in detail.

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KW - Unitary similarity

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Sets of matrices with given joint numerical range

Abstract

Bibliographical note

Funding

Keywords

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