Positivity in complex spaces and its application to Gershgorin discs

C. Zenger

doi:10.1007/BF01389756

Positivity in complex spaces and its application to Gershgorin discs

C. Zenger

TUM Emeriti of Excellence

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

Abstract

The classical proof that a separated Gershgorin disc contains an eigenvalue uses a continuity argument which is not applicable to Bauers generalized Gershgorin discs. In this paper the concept of positivity, generalized to complex vector spaces, is used to establish Gershgorins result and to improve the corresponding result for Bauers generalization.

Original language	English
Pages (from-to)	67-73
Number of pages	7
Journal	Numerische Mathematik
Volume	44
Issue number	1
DOIs	https://doi.org/10.1007/BF01389756
State	Published - Feb 1984

Keywords

Subject Classifications: AMS(MOS): 65F15, CR: 6.1.3

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10.1007/BF01389756

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abstract = "The classical proof that a separated Gershgorin disc contains an eigenvalue uses a continuity argument which is not applicable to Bauers generalized Gershgorin discs. In this paper the concept of positivity, generalized to complex vector spaces, is used to establish Gershgorins result and to improve the corresponding result for Bauers generalization.",

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AB - The classical proof that a separated Gershgorin disc contains an eigenvalue uses a continuity argument which is not applicable to Bauers generalized Gershgorin discs. In this paper the concept of positivity, generalized to complex vector spaces, is used to establish Gershgorins result and to improve the corresponding result for Bauers generalization.

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Positivity in complex spaces and its application to Gershgorin discs

Abstract

Keywords

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