Linear preservers of extremes of rank inequalities over semirings: Row and column ranks

Le Roy B. Beasley; Alexander E. Guterman; Young Bae Jun; Seok Zun Song

doi:10.1016/j.laa.2005.03.024

Linear preservers of extremes of rank inequalities over semirings: Row and column ranks

Le Roy B. Beasley, Alexander E. Guterman, Young Bae Jun, Seok Zun Song

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

8 Scopus citations

Abstract

We characterize linear preservers for sets of matrix ordered tuples which satisfy extremal properties with respect to row and column ranks.

Original language	English
Pages (from-to)	495-509
Number of pages	15
Journal	Linear Algebra and Its Applications
Volume	413
Issue number	2-3 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.laa.2005.03.024
State	Published - 1 Mar 2006
Externally published	Yes

Bibliographical note

Funding Information:
The work of the second author is supported by grants NSH-1910.2003.01 and INTAS YSF 03-55-1919. This work of the fourth author was supported by Korean Science and Engineering Foundation (F01-2004-000-10064-0). ∗ Corresponding author. E-mail addresses: [email protected] (L.B. Beasley), [email protected] (A.E. Gu-terman), [email protected] (Y.-B. Jun), [email protected] (S.-Z. Song).

Funding

The work of the second author is supported by grants NSH-1910.2003.01 and INTAS YSF 03-55-1919. This work of the fourth author was supported by Korean Science and Engineering Foundation (F01-2004-000-10064-0). ∗ Corresponding author. E-mail addresses: [email protected] (L.B. Beasley), [email protected] (A.E. Gu-terman), [email protected] (Y.-B. Jun), [email protected] (S.-Z. Song).

Funders	Funder number
INTAS	YSF 03-55-1919
Korea Science and Engineering Foundation	F01-2004-000-10064-0

Keywords

Column rank
Linear preserver
Rank inequality
Row rank

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10.1016/j.laa.2005.03.024

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title = "Linear preservers of extremes of rank inequalities over semirings: Row and column ranks",

abstract = "We characterize linear preservers for sets of matrix ordered tuples which satisfy extremal properties with respect to row and column ranks.",

keywords = "Column rank, Linear preserver, Rank inequality, Row rank",

author = "Beasley, {Le Roy B.} and Guterman, {Alexander E.} and Jun, {Young Bae} and Song, {Seok Zun}",

note = "Funding Information: The work of the second author is supported by grants NSH-1910.2003.01 and INTAS YSF 03-55-1919. This work of the fourth author was supported by Korean Science and Engineering Foundation (F01-2004-000-10064-0). ∗ Corresponding author. E-mail addresses: [email protected] (L.B. Beasley), [email protected] (A.E. Gu-terman), [email protected] (Y.-B. Jun), [email protected] (S.-Z. Song).",

year = "2006",

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doi = "10.1016/j.laa.2005.03.024",

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T1 - Linear preservers of extremes of rank inequalities over semirings

T2 - Row and column ranks

AU - Beasley, Le Roy B.

AU - Guterman, Alexander E.

AU - Jun, Young Bae

AU - Song, Seok Zun

N1 - Funding Information: The work of the second author is supported by grants NSH-1910.2003.01 and INTAS YSF 03-55-1919. This work of the fourth author was supported by Korean Science and Engineering Foundation (F01-2004-000-10064-0). ∗ Corresponding author. E-mail addresses: [email protected] (L.B. Beasley), [email protected] (A.E. Gu-terman), [email protected] (Y.-B. Jun), [email protected] (S.-Z. Song).

PY - 2006/3/1

Y1 - 2006/3/1

N2 - We characterize linear preservers for sets of matrix ordered tuples which satisfy extremal properties with respect to row and column ranks.

AB - We characterize linear preservers for sets of matrix ordered tuples which satisfy extremal properties with respect to row and column ranks.

KW - Column rank

KW - Linear preserver

KW - Rank inequality

KW - Row rank

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 2-3 SPEC. ISS.

ER -

Linear preservers of extremes of rank inequalities over semirings: Row and column ranks

Abstract

Bibliographical note

Funding

Keywords

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