Note on "on the singular "vectors" of the lyapunov operator" by R. Byers and S. Nash

Sheng Chen; Yunbo Tian

doi:10.1137/140974031

Note on "on the singular "vectors" of the lyapunov operator" by R. Byers and S. Nash

Sheng Chen
, Yunbo Tian

School of Mathematics

Harbin Institute of Technology

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

2 Scopus citations

Abstract

We point out a mistake in the proof of Theorem 9 in the paper of R. Byers and S. Nash [SIAM J. Algebraic Discrete Methods, 8 (1987), pp. 59.66]. Thus, gTheorem 9h is a conjecture. We prove that the conjecture holds for n ≤ 5.

Original language	English
Pages (from-to)	1069-1072
Number of pages	4
Journal	SIAM Journal on Matrix Analysis and Applications
Volume	36
Issue number	3
DOIs	https://doi.org/10.1137/140974031
State	Published - 2015

Keywords

Lyapunov operator
Singular vector

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10.1137/140974031

Cite this

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title = "Note on {"}on the singular {"}vectors{"} of the lyapunov operator{"} by R. Byers and S. Nash",

abstract = "We point out a mistake in the proof of Theorem 9 in the paper of R. Byers and S. Nash [SIAM J. Algebraic Discrete Methods, 8 (1987), pp. 59.66]. Thus, gTheorem 9h is a conjecture. We prove that the conjecture holds for n ≤ 5.",

keywords = "Lyapunov operator, Singular vector",

author = "Sheng Chen and Yunbo Tian",

note = "Publisher Copyright: {\textcopyright} 2015 Society for Industrial and Applied Mathematics.",

year = "2015",

doi = "10.1137/140974031",

language = "英语",

volume = "36",

pages = "1069--1072",

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TY - JOUR

T1 - Note on "on the singular "vectors" of the lyapunov operator" by R. Byers and S. Nash

AU - Chen, Sheng

AU - Tian, Yunbo

PY - 2015

Y1 - 2015

N2 - We point out a mistake in the proof of Theorem 9 in the paper of R. Byers and S. Nash [SIAM J. Algebraic Discrete Methods, 8 (1987), pp. 59.66]. Thus, gTheorem 9h is a conjecture. We prove that the conjecture holds for n ≤ 5.

AB - We point out a mistake in the proof of Theorem 9 in the paper of R. Byers and S. Nash [SIAM J. Algebraic Discrete Methods, 8 (1987), pp. 59.66]. Thus, gTheorem 9h is a conjecture. We prove that the conjecture holds for n ≤ 5.

KW - Lyapunov operator

KW - Singular vector

UR - https://www.scopus.com/pages/publications/84944545771

U2 - 10.1137/140974031

DO - 10.1137/140974031

M3 - 文章

AN - SCOPUS:84944545771

SN - 0895-4798

VL - 36

SP - 1069

EP - 1072

JO - SIAM Journal on Matrix Analysis and Applications

JF - SIAM Journal on Matrix Analysis and Applications

IS - 3

ER -

Note on "on the singular "vectors" of the lyapunov operator" by R. Byers and S. Nash

Abstract

Keywords

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