Solving the generalized Sylvester matrix equation AV + BW = v F via Kronecker map

Aiguo Wu; Siming Zhao; Guangren Duan

doi:10.1007/s11768-008-6062-x

Solving the generalized Sylvester matrix equation AV + BW = v F via Kronecker map

Aiguo Wu^*
, Siming Zhao
, Guangren Duan

^*Corresponding author for this work

Harbin Institute of Technology Shenzhen
Harbin Institute of Technology

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

2 Scopus citations

Abstract

This note considers the solution to the generalized Sylvester matrix equation AV + BW = V F with F being an arbitrary matrix, where V and W are the matrices to be determined. With the help of the Kronecker map, an explicit parametric solution to this matrix equation is established. The proposed solution possesses a very simple and neat form, and allows the matrix F to be undetermined.

Original language	English
Pages (from-to)	330-332
Number of pages	3
Journal	Journal of Control Theory and Applications
Volume	6
Issue number	3
DOIs	https://doi.org/10.1007/s11768-008-6062-x
State	Published - Aug 2008

Keywords

Kronecker map
Parametric solution
Sylvester matrix equation

Access to Document

10.1007/s11768-008-6062-x

Cite this

@article{04105e0b95924efba744019963cce3a0,

title = "Solving the generalized Sylvester matrix equation AV + BW = v F via Kronecker map",

abstract = "This note considers the solution to the generalized Sylvester matrix equation AV + BW = V F with F being an arbitrary matrix, where V and W are the matrices to be determined. With the help of the Kronecker map, an explicit parametric solution to this matrix equation is established. The proposed solution possesses a very simple and neat form, and allows the matrix F to be undetermined.",

keywords = "Kronecker map, Parametric solution, Sylvester matrix equation",

author = "Aiguo Wu and Siming Zhao and Guangren Duan",

year = "2008",

month = aug,

doi = "10.1007/s11768-008-6062-x",

language = "英语",

volume = "6",

pages = "330--332",

journal = "Journal of Control Theory and Applications",

issn = "1672-6340",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "3",

}

TY - JOUR

T1 - Solving the generalized Sylvester matrix equation AV + BW = v F via Kronecker map

AU - Wu, Aiguo

AU - Zhao, Siming

AU - Duan, Guangren

PY - 2008/8

Y1 - 2008/8

N2 - This note considers the solution to the generalized Sylvester matrix equation AV + BW = V F with F being an arbitrary matrix, where V and W are the matrices to be determined. With the help of the Kronecker map, an explicit parametric solution to this matrix equation is established. The proposed solution possesses a very simple and neat form, and allows the matrix F to be undetermined.

AB - This note considers the solution to the generalized Sylvester matrix equation AV + BW = V F with F being an arbitrary matrix, where V and W are the matrices to be determined. With the help of the Kronecker map, an explicit parametric solution to this matrix equation is established. The proposed solution possesses a very simple and neat form, and allows the matrix F to be undetermined.

KW - Kronecker map

KW - Parametric solution

KW - Sylvester matrix equation

UR - https://www.scopus.com/pages/publications/51649092835

U2 - 10.1007/s11768-008-6062-x

DO - 10.1007/s11768-008-6062-x

M3 - 文章

AN - SCOPUS:51649092835

SN - 1672-6340

VL - 6

SP - 330

EP - 332

JO - Journal of Control Theory and Applications

JF - Journal of Control Theory and Applications

IS - 3

ER -

Solving the generalized Sylvester matrix equation AV + BW = v F via Kronecker map

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this