Generalized core-nilpotent decomposition

Manjunatha Prasad Karantha; Savitha Varkady

doi:10.1007/s41478-019-00203-2

Generalized core-nilpotent decomposition

Manjunatha Prasad Karantha, Savitha Varkady

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

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Abstract

In the present paper, we introduce several generalizations of core-nilpotent decomposition of a square matrix and study their properties. Well known decompositions such as core-EP decomposition and EP-nilpotent decompositions are discussed as special cases.

Original language	English
Pages (from-to)	543-550
Number of pages	8
Journal	Journal of Analysis
Volume	29
Issue number	2
DOIs	https://doi.org/10.1007/s41478-019-00203-2
Publication status	Published - 06-2021

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Analysis
Applied Mathematics
Geometry and Topology

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10.1007/s41478-019-00203-2

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title = "Generalized core-nilpotent decomposition",

abstract = "In the present paper, we introduce several generalizations of core-nilpotent decomposition of a square matrix and study their properties. Well known decompositions such as core-EP decomposition and EP-nilpotent decompositions are discussed as special cases.",

author = "Karantha, {Manjunatha Prasad} and Savitha Varkady",

note = "Funding Information: Among the authors, Manjunatha Prasad is supported by Science and Engineering Research Board (DST, Govt. of India) under MATRICS (MTR/2018/000156). Publisher Copyright: {\textcopyright} 2019, Forum D'Analystes, Chennai.",

year = "2021",

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AU - Karantha, Manjunatha Prasad

AU - Varkady, Savitha

N1 - Funding Information: Among the authors, Manjunatha Prasad is supported by Science and Engineering Research Board (DST, Govt. of India) under MATRICS (MTR/2018/000156). Publisher Copyright: © 2019, Forum D'Analystes, Chennai.

PY - 2021/6

Y1 - 2021/6

N2 - In the present paper, we introduce several generalizations of core-nilpotent decomposition of a square matrix and study their properties. Well known decompositions such as core-EP decomposition and EP-nilpotent decompositions are discussed as special cases.

AB - In the present paper, we introduce several generalizations of core-nilpotent decomposition of a square matrix and study their properties. Well known decompositions such as core-EP decomposition and EP-nilpotent decompositions are discussed as special cases.

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JO - Journal of Analysis

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Generalized core-nilpotent decomposition

Abstract

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